Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

Find the word which is out of the logic list:A) open B) candid C) sincere D) arrogant

Answer»

Correct option is D) arrogant

2.

The diagram given below shows three glass chambers that are connected by valves of negligible volume. In an experiment, the valves are closed and initially the chambers contain the gases as given in the diagram. All the chambers are at fixed temperature of 300K. Which of the folliwng represents the total translational kinetic energy of all the gas molecules after both valves are opened.A. 2836 JouleB. 3280 JouleC. 4520 JouleD. 4983 Joule

Answer» `n_(N_(2))=(0.82xx10)/(0.0821xx300)=(1)/(3)`
`n_(He)=(4.1xx6)/(0.0821xx300)=1`
`n_("total")=(1)/(3)+1=(4)/(3)`
Total KE=`(3)/(2)nRT`
`=(3)/(2)xx(4)/(2)xx8.314xx300J=4983J`
3.

(1) The white tiger is an offspring of the Bengal tiger, which has the necessary gene for white coloring. It has beautiful black stripes on a white coat. This species of animal has blue eyes and a pink nose .(2) A pure white tiger is white without any site, which is due to the presence of a double recessive allele in the genetic code. It happens only in the Bengal tiger subspecies, and only one in 10,000 births can have it naturally. White tigers are rarely seen in the wild, and only twelve of them have been spotted in India for the last one-hundred years. Tigers have a life-span of 10 -15 years. They are solitary animals and are fond of hunting at night. Their diet consists of any animals that they can catch and can eat up to 40 pounds of meat at one time. After such a big meal, they usually remain away for several days from food.(3) They are slow runners, but good swimmers. They are poor climbers and cannot climb a tree easily. They live in an area ranging from 10 to 30 square miles depending upon the availability of prey, water, and shelter. Habitat loss poaching and expansion of the human population have together contributed to their becoming endangered. They are widely hunted for their body parts which are used in traditional Chinese medicines.(4) Genetic inbreeding is another reason for their endangerment. Due to a shortage in their number, this species of animal has been subjected to inbreeding. It has resulted in high mortality rates and severe disabilities. About 80 percent of the white tiger cubs are born with serious birth-defects related to inbreeding, and they soon die-off.(5) The critical condition of this animal has attracted the attention of conservationists worldwide Woda Wildlife Federation (WWF), defenders of wildlife, and many other wildlife organizations are working with the support of the government for the cause of protecting them from becoming extinct. Once they become extinct, it will not be possible to bring them back to life.1. What affects the tiger from remaining away for several days from food?a. A big meal affects the tiger from remaining away for several days from food.b. A small meal affects the tiger from remaining away for several days from food.c. No meal affects the tiger from remaining away for several days from food.d. Nothing affects the tiger from remaining away for several days from food.2. Find the word from the passage which means same as 'hereditary'a. Offspringb. Geneticc. Poachingd. Breeding3. Name any two agencies working for the protection of tigers.a. World Wildlife Federation (WWF), Defenders of Wildlife are two agencies working for the protection of tigers .b. Give Foundation, GOONJ are two agencies working for the protection of tigers .c. K. C. Mahindra Education Trust, LEPRA India are two agencies working for the protection of tigers.d. Sammaan Foundation, Smile Foundation are two agencies working for the protection of tigers.4. What two factors have put tigers species in the category of the endangered animals?a. Starvation and poaching, are the two factors that have put the tiger species in the category of the endangered animals.b. Habitat loss and starvation, are the two factors that have put the tiger species in the category of the endangered animals.c. Habitat loss and poaching, are the two factors that have put the tiger species in the category of the endangered animals.d. Isolation, poaching, are the two factors that have put the tiger species in the category of the endangered animals.5. Choose the correct option :What is the lifespan of a tiger?a. The lifespan of a tiger is 11-12 yearsb. The lifespan of a tiger is 10 -15 yearsc. The lifespan of a tiger is 5 - 6 yearsd. The lifespan of a tiger is 7 - 8 years6. Choose the correct option :The white tiger is an offspring ofa. The white tiger is an offspring of the Bengal tigerb. The white tiger is an offspring of the Siberian tigerc. The white tiger is an offspring of the Sumatran tigerd. The white tiger is an offspring of the Malayan tiger7. Choose the correct option :Tigers are _____ climbers and cannot climb a tree easily.a. fastb. slowc. goodd. poor8. Choose the correct option :A pure _____ tiger is totally white without any stripesa. blueb. whitec. brownd. golden9. State True or False :About 80 percent of the white tiger cubs are born with serious birth-defects related to inbreeding, and they soon die-off.a. Trueb. False10. Find the same word from the paragraph which means the same as 'progeny'.a. Breedingb. Offspringc. Poachingd. Genetic

Answer»

1. a. A big meal affects the tiger from remaining away for several days from food.

2. b. Genetic

3. a. World Wildlife Federation (WWF), Defenders of Wildlife are two agencies working for the protection of tigers .

4. c. Habitat loss and poaching, are the two factors that have put the tiger species in the category of the endangered animals.

5. b. The lifespan of a tiger is 10 -15 years

6. a. The white tiger is an offspring of the Bengal tiger

7. d. poor

8. b. white

9. a. True

10. b. Offspring

4.

Subhash Chandra Bose passed through quarters inhabited by Englishmen and also met a large number of them in the tram cars. The British using these cars were purposely rude and offensive to Indians in various ways. The sensitive mind of Subhash revolted against such insulting and rude behavior of the British On many occasions, there was an exchange of hot words between him and misbehaving British. The majority of the students of the Presidency College, where he studied, were free thinkers. The college continued to be a storm center and was looked upon by the British Government as a hotbed of sedition, rendezvous of revolutionaries, and was frequently searched by the police. The first two years of his life were greatly influenced by the group which styled itself as the neo-Vivekananda group and Subhash developed intellectually during this period, The group generally followed the teachings of Rama Krishna and Vivekananda with special emphasis on social service as means of spiritual development and was non-aligned to a revolutionary group. The shock of the Great World War roused his political consciousness. He graduated at the age of 22 and enrolled himself for the postgraduate with experimental psychology as a special subject.His father, however, wanted him to go to England to appear for the Indian Civil Services. Despite his mental reservations, Subhash took it as a challenge. In England, he was greatly impressed with the freedom allowed to students at Cambridge. Every student behaved in a dignified manner. Notwithstanding his preoccupation with his studies, he displayed his public sprint and fearlessness throughout his stay in England. Head K.L Gouba was selected by the Indian Majlis, to represent the British Government the difficulties the Indian students encountered for admission on to the University Officers Training Corps Though he took a harsh view of the British high handedness and radial arrogance, he did admire their qualities which exacted him He behaved there in a dignified way and was out of the view that Indian who go abroad, must consider themselves to be unofficial ambassadors of the country, who should uphold their country's prestige. He was quite serious in purpose and disliked anybody waiting time on trivialities.1. Who were selected by the Indian Majlis?a. K.L. Gouba and Subhash Chandra Bose were selected by the Indian Majlis.b. K.L. Sharma and Subhash Chandra Bose were selected by the Indian Majlis.c. Gandhiji and Subhash Chandra Bose were selected by the Indian Majlis.d. K.L. Gouba and Gandhi were selected by the Indian Majlis.2. Fill in the blanks :Majority of the students of the Presidency college were ______.a. free thinkersb. rigid thinkersc. orthodoxd. free spirited3. Whose teaching did the group generally follow?a. The group generally followed the teachings of Shama Krishna and Vivekanandab. The group generally followed the teachings of Rama Krishna and Vivekananda.c. The group generally followed the teachings of Rama Krishna and Rabindranath Tagore.d. The group generally followed the teachings of Yogananda and Vivekananda.4. Subhash Chandra's father wanted him to go to England and appear for what?a. Subhash Chandra's father wanted him to go to England and appear for Indian Civil Services.b. Subhash Chandra's father wanted him to go to England and appear for Indian Navy services.c. Subhash Chandra's father wanted him to go to England and appear for Air Force Services.d. Subhash Chandra's father wanted him to go to England and appear for Indian Military Services.5. Choose the correct answer :At what age did Subhash enrol for his post-graduation?a. Subhash enrolled for his post-graduation at the age of 21 yearsb. Subhash enrolled for his post-graduation at the age of 22 yearsc. Subhash enrolled for his post-graduation at the age of 25 yearsd. Subhash enrolled for his post-graduation at the age of 18 years6. Choose the correct answer :Where is Cambridge University?a. Cambridge University is in the United States of Americab. Cambridge University is in Canadac. Cambridge University is in Englandd. Cambridge University is in Australia7. Choose the correct answer :Indians who go abroad, must consider themselves to be unofficial _____ of the country.a. ambassadorsb. playersc. studentsd. citizens8. Choose the correct answer :Subhash met a lot of rude Englishmen while travelling in _________a. Toy trainsb. Tram carsc. Local busd. Taxi9. State true or false :He graduated at the age of 21 and enrolled himself for the post-graduate.a. Trueb. False10. Which of the following is the meaning of 'rendezvous'?a. Appointmentb. Avoidc. Idled. divide

Answer»

1. a. K.L. Gouba and Subhash Chandra Bose were selected by the Indian Majlis.

2. a. free thinkers

3. b. The group generally followed the teachings of Rama Krishna and Vivekananda.

4. a. Subhash Chandra's father wanted him to go to England and appear for Indian Civil Services.

5. b. Subhash enrolled for his post-graduation at the age of 22 years

6. c. Cambridge University is in England

7. a. ambassadors

8. b. Tram cars

9. b. False

10. a. Appointment

5.

Galapagos penguin-species of penguin characterized by the presence of a narrow C -shaped band of white feathers, that extends from the eye to the chin on each side of the head and a single band of black feathers, that cuts across the large region of white feathers on the breast. Galapagos penguins, the most northerly of all penguin species, inhabit the western part of the Galapagos Islands however, some individuals may occasionally venture to other islands in the archipelago. Compared with other penguin species, the population is small, numbering no more than a few thousand individuals.Galapagos penguins are among the smallest of all penguin species. Their average size is about 53 cm (about 21 inches) in length and weighs from 1.7 to 2.6 kg (about 4 - 9 pounds), males are slightly larger than females. Juveniles, in contrast, have a grey head and black and white underside. They also possess white patches of feathers on their cheeks. The chicks are covered in a fluff of light grey downy feathers. Galapagos penguins subsist on small fish. Adults and juveniles are food for sharks and Galapagos fur seals in the water. On land, all age classes are vulnerable to the native Galapagos hawk and to predators, such as dogs, cats, rats, and other birds of prey.The young are produced throughout the year and nests are built with rocks and twigs or within lava rock depressions within about 50 meters (about 165 feet) of the shoreline. Most breeding pairs are monogamous for life, and prolific pairs can produce up to three duchess of eggs per year, with females often laying two eggs per clutch. The eggs are deposited in the nest within four days of one another, and incubation is shared equally between the parents. The incubation period lasts 38 - 42 days, after which both parents provide for their chicks by alternating feeding and guarding duties daily until the chicks are 30 days old. The chicks continue to remain in the nest when they are between 30 and 60 days of age, sustained by periodic feeding by their parents. Unlike most other penguin species, Galapagos penguin chicks do not join creches) (groups). The fledging period continues until the chicks are 60- 65 days old and they become completely independent at age 3-6 months Galapagos penguins can live as long as 15 - 20 years, but most succumb to predation or food shortages caused by the periodic, but dramatic changes in the nearby ocean currents.1. Fill in the blanks :______ penguins are among the smallest of all penguin species.a. Galapagosb. Macaronic. Africand. Gentoo2. For how long do the chicks continue to remain in the nest?a. The chicks continue to remain in the nest between 20 and 50 days of age.b. The chicks continue to remain in the nest between 30 and 60 days of age.c. The chicks continue to remain in the nest between 15 and 45 days of age.d. The chicks continue to remain in the nest between 5 and 10 days of age.3. 'Creches' in the passage means ____.a. groupsb. collectionc. gatheringd. bunch4. Fill in the blanks :a. 22-34 daysb. 55-67 daysc. 60-100 daysd. 38-42 days5. Choose the correct option :For how many years do Galapagos penguins live?a. Galapagos penguins live for 15 - 20 yearsb. Galapagos penguins live for 5 - 6 yearsc. Galapagos penguins live for 10 - 12 yearsd. Galapagos penguins live for 40 - 60 years6. Choose the correct option :At what age does the chick become completely independent?a. The chick becomes completely independent at 1-2 months.b. The chick becomes completely independent at 8-9 months.c. The chick becomes completely independent at 3-6 months.d. The chick becomes completely independent at 11-12 months.7. Choose the correct option :The average length of Galapagos penguin is :a. The average length of Galapagos penguin is 18 inches.b. The average length of Galapagos penguin is 21 inches.c. The average length of Galapagos penguin is 12 inches.d. The average length of Galapagos penguin is 14 inches.8. Choose the correct option : What color feathers does Galapagos penguin have?a. Galapagos penguin have white feathers.b. Galapagos penguin have grey feathers.c. Galapagos penguin have black feathers.d. Galapagos penguin have dark brown feathers.9. State true and false : Galapagos penguins are among the smallest of all penguin species.a. Trueb. False10. Choose the word that means the same as 'Succumb' from the paragraph.a. Playb. Survivec. Danced. Die from

Answer»

1. a. Galapagos

2. b. The chicks continue to remain in the nest between 30 and 60 days of age.

3. a. groups

4. d. 38-42 days

5. b. Galapagos penguins live for 5 - 6 years

6. c. The chick becomes completely independent at 3-6 months.

7. b. The average length of Galapagos penguin is 21 inches.

8. c. Galapagos penguin have black feathers.

9. a. True

10. d. Die from

6.

20 gm sample containing Mg. is treated with excess of 2M HCl. As a result 11.2 litre of `H_(2)` gas at NTP was evolved. Find % purity of Mg in sampleA. 0.6B. 0.3C. 0.75D. 0.72

Answer» `Mg+2HClrarrMgCl_(2)+H_(2)`
`n_(Mg)=n_(H_(2))=(11.2)/(22.4)=(1)/(2)`
`w_(Mg)=12gm`
`% "purity"=(12)/(20)xx100=60`
7.

If a source of sound approaches a stationery observer with velocity v then he observes an increase in frequency equal to `Deltan_(1)` if source recedes away from the stationary observer with same velocity v then he observer a decrease in frequency equal to `Deltan_(2)` then:A. `Deltan_(1)=Deltan_(2)`B. `Deltan_(1)geDeltan_(2)`C. `Deltan_(1)leDeltan_(2)`D. `Deltan_(1)geDeltan_(2) or Deltan_(2)geDeltan_(1)` depending upon velocity v

Answer» Correct Answer - B
`Deltan_(1)="f"_(0) (v)/(v-v_(s)) - f_(0)=(v_(s)f_(0))/(v-v_(s))`
`Deltan_(2)=f_(0)-"f"_(0) (v)/(v+v_(s)) = (v_(s)f_(0))/(v+v_(s))`
clearly `Deltan_(1)geDeltan_(2)`
8.

The frequency of a car horm is f what frequency is observed is both the car and the observer are at rest, but a wind is blowing from the car toward the observer?A. fB. greater than fC. lessthanfD. either greater or less thanf

Answer» Correct Answer - A
The distance between source and receiver is not changing so there is no change in frequency (A)
9.

An open pipe of sufficient length is dipping in water with a speed V vertically if at any instant l is length of tube above water then the rate at which fundamental frequency of pipe changes is (C is the speed of sound in air ) A. `(CV)/2l^(2)`B. `(CV)/4l^(2)`C. `(CV)/(2v^(2)t^(2))`D. `(CV)/(4v^(2)t^(2))`

Answer» Correct Answer - B
At time t `l=(l-vt)=lambda//4`
fundamental frequency `f_(0)=C/(4l)`
`f_(0)=C/(4(l-vt))`
`:. (df)/(dt)=-C/(4(l-vt)^(2))(-v)=(CV)/(4l^(2))`
10.

2 loudspeakers are emitting sound waves of wavelength lambda with an initial phase difference of `pi/2` at what minimum distance from O on line AB will one hear a maximum A. `25lambda`B. `(100lambda)/sqrt(15)`C. `(25lambda)/3`D. `50 lambda`

Answer» Correct Answer - C
`Deltaphi=2npi`
`Rightarrowpi/2+(2pi)/lambdad sin theta=2npi`
`(2pi)/lambdadsintheta=(2n-1/2)pi`
`sintheta=(2n-1/2)lambda/(2d)=1/2xxlambda/(2xx3lambda)=1/12`
`Rightarrowy/sqrt((100lambda))^(2)=1/12`
`144y^(2)=(100lambda)^(2)`
`yapprox(100lambda)/12 = (25lambda)/3`
11.

A source of sound attached to the bob of a simple pendulum execute SHM the difference between the apparent frequency of sound as received by an observer during its approach and recession at the mean position of the SHM motion is 2% of the natural frequency of the source the velocity of the source at the mean position is (velocity of sound in the air is `340m//s`) [Assume velocity of sound source `lele` velocity of sound in air]A. `1.4m//s`B. `3.4m//s`C. `1.7m//s`D. `2.1m//s`

Answer» Correct Answer - B
`f_(max)=f(V/(V-V_(s)))`
f is the original frequency of source
v the speed of sound
`V_(s)` the speed of source
`f_(min)=f(V/(V+V_(s)))`
`(f_(max)-f_(min))/f = 2%=1//50`
Rightarrow `(f/f) (V(2V_(s)))/(V^(2)-V_(s)^(2)) approx (V(2V_(s)))/V^(2)= (2V_(s))/V = 1/50`
`V_(s)=V/100`
12.

If there is no heat loss, the heat released by the condensation of x gram of steam at `100^@C` into water at `100^@C` can be used to convert y gram of ice at `0^@C` into water at `100^@C`. Then the ratio of y:x is nearly [Given `L_l = 80 cal//gm` and `L_v= 540 cal//gm`]A. `1:1`B. `2:1`C. `3:1`D. `2.5:1`

Answer» Correct Answer - C
By symmetry
`I_(AB)=I_(BC)` and `I_(AD)=I_(DC)`
`:.` No current in BO and OD
`:. T_(B)=T_(o)=T_(D)`
13.

Osmotic pressure of a solution containing `6.8 xx 10^(-3) kg` of a protein per `1xx 10^(-4) m^(3)` of solution is `3.02 xx 10^(3) Pa` at `37^(@) C` Calculate the molar mass of protein `(R= 8.314 J K^(-1) mol^(-1))`

Answer» 58. 06 kg `mol^(-1)`
14.

Boiling point of a solvent is `80.2.^(@)C` When 0.419 g of the solute of molar mass 252 .4 g `mol^(-1)` is dissolved in 75 g of the above solvent the boiling point of the solution is found to be 80. 256 `.^(@)C` Final the molal elevation constant

Answer» `K_(b)= 2.53 K kg mol^(-1)`
15.

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Amylose is insoluble in water. Reason R : Amylose is a long linear molecule with more than 200 glucose units.In the light of the above statements, choose the correct answer from the options given below. (A) Both A and R are correct and R is the correct explanation of A. (B) Both A and R are correct and R is NOT the correct explanation of A. (C) A is correct but R is not correct. (D) A is not correct but R is correct.

Answer»

(D) A is not correct but R is correct.

Amylose is water soluble.

16.

A compound 'X' is a weak acid and it exhibits colour change at pH close to the equivalence point during neutralization of NaOH with CH3COOH. Compound 'X' exists in ionized form in basic medium. The compound 'X' is : (A) methyl orange (B) methyl red (C) phenolphthalein (D) erichrome Black T

Answer»

(C) phenolphthalein 

Phenolphthalein is weak acid give colour in basic medium.

17.

A mixture of He and Ne has a density of `1.36 xx 10^(-3) gm //ml` at `0^(@)C` and 2.24 atm. Then mole fraction of neon in this mixture is `"________"`A. 0.4B. 0.6C. 0.3D. 0.7

Answer» Correct Answer - B
`d = 1.36 xx 10^(-3) gm//ml = 1.36 gm// "litre"`
`X_(He) = a`
`X_(Ne) = 1 - a`
`M_(avg) = x_(1)m_(1) + x_(2) m_(2)`
`M_(avg) = 4a + 20 (1 - a)`
`d = (PM_(avg))/(RT)`
`M_(avg) = (dRT)/(P) = (1.36 xx 0.0821 xx 273)/(2.24)`
`= 13.6 gm//mol`
`M_(avg) = 13.6 = 4a + 20 (1 - a)`
`a = 0.4`
`x_(He) = 0.4`
`x_(Ne) = 0.6`
18.

When does a real gas show ideal behaviour

Answer»

Low pressure and high temperature.

Generally, a gas behaves more like an ideal gas at a higher temperature and lower pressure, as the potential energy due to intermolecular forces becomes less significant compared with the particles' kinetic energy, and the size of the molecules becomes less significant compared to the empty space between them.

19.

A solution containing 500 g of a protein per liter is isotonic with a solution containing 3.42 g sucrose per liter. The molecular mass of protein in 5 x `10^(x)`, hence x is.A. 2B. 3C. 4D. 5

Answer» Correct Answer - 3
`pi1=pi2`
`C_(1)=C_(2)`
`((w_(1))/(m_(1)v_(1)))_("protein")=((w_(2))/(m_(2)v_(2)))_("sucrose")`
`(500)/(5xx10^(x)xx1)=(3.42)/(342xx1)`
`(100)/(10^(x))=(1)/(100)`
`10^(x)=10^(4)`
x= 4
20.

A buffer solution is one which has(A) Reserve acidity(B) Reserve alkalinity(C) pH equal to zero(D) Reserve acidity and reserve alkalinity

Answer»

(D) Reserve acidity and reserve alkalinity

A buffer solution is one which maintains its pH fairly constant even upon the addition of small amounts of acid or base.

Two common types of buffer solutions are : 

1. a weak acid together with a salt of the same acid with a strong base. These are called acid buffers, 

(eg): CH3​COOH + CH3​COONa  

2. a weak base Mid its salt with a strong acid. These are called basic buffers,

(eg) : NH4​OH + NH4​Cl

21.

Equilibrium constant is

Answer»

The equilibrium constant is the ratio of the concentration of products to the concentration of reactants. In any chemical reaction, the equilibrium constant is obtained when the chemical reaction reaches equilibrium. Once this is achieved, the concentration of every molecule involved in the reaction is measured. Since the chemical reaction took place in an equilibrium state, the equilibrium constant does not change for a given reaction.

The equilibrium constant is one of the essential parameters in understanding various chemical systems and biochemical processes.

22.

40 ml of acidified solution of 0.4 M Fe(II) is completely oxidised by 32 ml. KMnO4 completely. The molarity of KMnO4 solution is(a) 1.0 M(b) 2.0 M(c) 0.2 M(d) 0.1 M

Answer»

The molarity of KMnO4 solution is 0.1 M

23.

One mole of methane undergoes combustion to form CO2 and water at 25°C. The difference between ∆U & ∆H will be

Answer»

The difference between ∆U & ∆H will be -2RT.

24.

Calculate the entropy change in system if 2 mole of methane undergoes complete combustion at 300 K from the following data. Given data `:DeltaH_("cumbustion")^(@) CH_(4)(g)=-900kJ,DeltaG_(f)^(@)CH_(4)(g)=-40,DeltaG_(f)^(@)(H_(2)O)(l)=-120, DeltaG_(f)^(@)CO_(2)(g)=-400kJ//mol` Instruction:- If your answer is -ve, then wire double the magnitude as your final answer For example : If `DeltaS_("surr")=+20J/K` then write your answer as 20 but if `DeltaS_("surr")=-20` then write your answer as 40 Express your answer in J/K.

Answer» [4000]
`2CH_(4) to 4O_(2) to 2CO_(2)++4H_(2)O`
`DeltaH^(@)=-900xx2=-1800kJ`
`DeltaG^(@)=DeltaG_("f Products")^(@)-DeltaG_("f Reactant")^(@)`
`=(-400)xx2+4(-120)-[2xx(-40)+0]`
=-800-480+80
=-1200kJ/mol
`DeltaG^(@)=DeltH^(@)-TDeltaS^(@)`
`DeltaS_("system")^(@)=(DeltaH^(@)-DeltaG^(@))/(T)`
`((-1800)-(-1200)kJ)/(300)=(-600)/(300)kJ`
`-2kJ=-2000J//K`
Final answer4000
25.

A 3.0 cm wire carrying a current of 10 A is placed inside a solenoid perpendicular to its axis. The magnetic field inside the solenoid is given to be 0.27 T. What is the magnetic force on the wire?

Answer»

Length of the wire, l = 3 cm = 0.03 m
Current flowing in the wire, I = 10 A
Magnetic field, B = 0.27 T
Angle between the current and magnetic field, θ = 90°
Magnetic force exerted on the wire is given as:

F=BIlsinθ
= 0.27 × 10 × 0.03 sin90°
= 8.1 × 10–2 N
Hence, the magnetic force on the wire is 8.1 × 10–2 N. The direction of the force can be obtained from Fleming’s left hand rule.

26.

Consider the lines, `L_(1):x/2=y/(-3)=z/1` and `L_(3):(x-2)/3=(y-1)/(-5)=(z+2)/2`, then the line along shortest distance can be, costituted by the line of intersection of planesA. `4x+yi-5z=0`B. `x-3y+5z=0`C. `5x-7y+2z=-1`D. `7x+y-8z=31`

Answer» Correct Answer - A::D
`|(x,y,z),(2,-3,1),(1,1,1)|=0,|(x-2, y-1, z+2),(3, -5, 2),(1, 1, 1)|=0`
27.

The correct graph of `y = (|log_(2)x|)/(log_(2)x)` isA. B. C. D.

Answer» Correct Answer - A
The correct ……………
`y = (|log_(2)X|)/(log_(2)x) = {:[(1, log_(2)xgt0impliesxgt1),(-1,log_(2)xlt0implies0ltxlt1):}`
28.

Solution of inequality `log_(sin x)(log_(3)(log_(0.2)x))lt0` isA. `[0, 2]`B. `(0, (1)/(2))`C. `((1)/(125), (1)/(2))`D. `(0, (1)/(125))`

Answer» Correct Answer - D
Solution of inequality ………
`log_(sin x)(log_(3)(log_(0.2)x))lt0 = log_(sin x)1`
`log_(3)(log_(0.2)x)gt1`
`implies log_(0.2)x gt 3 = log_(0.2) (0.2)^(3)`
`implies 0 lt x lt (0.2)^(3) implies 0 lt x lt (1)/(125)`
29.

The solution set of inequation `|x^(2)-2x|+|x-4|gt|x^(2)-3x+4|` is a subset ofA. `(0, oo)`B. `(0, 4)`C. `(0, 2)`D. `(4, oo)`

Answer» Correct Answer - A
The solution set ……….
`|x^(2)-2x|+|4-x|gt|x^(2)-3x+4|`
`implies (x^(2)-2x)(4-x|gt|x^(2)-3x+4|`
`implies (x^(2)-2x)(4-x)cancelge 0`
`implies (x^(2)-2x)(4-x)lt 0 implies x epsilon (0, 2)uu(4, oo)`
30.

If `a,b,c in R` then number of ordered triplet `(a,b,c)` which satisfy the equations `a^(2)+2b=6,b^(2)+4c=-7` and `c^(2)+6a=-13` is

Answer» Correct Answer - A
`becausea^(2)+2b=6,b^(2)+4c=-7` and `c^(2)+6a=-13`
`impliesa^(2)+b^(2)+c^(2)+2b+4c+6a=-14`
`implies(a+3)^(2)+(b+1)^(2)+(c+2)^(2)=0`
`impliesa=-3,b=-1,c=-2`, but these values does not satisfy given equation
31.

Number of values of `x in [0, pi]` where `f (x) = [4 sin x-7]` is non derivable is

Answer» Correct Answer - 7
7
32.

If `(1+sqrt(1+a))tan alpha= 1 +sqrt(1-a)`, then `sin 4 alpha=.......`A. `(a)/(2)`B. aC. 2aD. `a^(2/3)`

Answer» Correct Answer - B
Let `a=sin4thetaimpliessqrt(1+a)=cos2theta+sin2theta` and `sqrt(1-a)=cos2theta-sin2theta`
`because(1+sqrt(1+a))tan alpha=1+sqrt(1-a)`
`implies(1+cos2theta+sin2theta)tanalpha=1+cos2theta-sin2theta`
`=2costheta(costheta+sintheta)tan alpha=2costheta(costheta-sintheta)`
`implies(costheta+sintheta)/(costheta-sintheta)=cotalphaimplies(1+tantheta)/(1-tantheta)=cotalpha`
`impliestan((pi)/(4)+theta)=tan((pi)/(2)-alpha)=alpha=(pi)/(4)-theta`
`=sin4alpha=sin(pi-4theta)=sin4theta=a`
33.

If the equation on reflection of `((x-4)^(2))/16+((y-3)^(2))/9=1` about the line `x-y-2=0` is `16x^(2)+9y^(2)+k_(1)x-36y+k_(2)=0` then `(k_(1)+k_(2))/22` is

Answer» Correct Answer - 6
6
34.

If `A(n)` represent the area bounded by the curve `y=n " lnx " ("where "n in N" and " n gt1)` and x-axis from `x=1` to `x=e`, then value of `A(n)+nA(n-1)` is equal toA. `n^(2)`B. `en^(2)`C. `n^(2)/(e+1)`D. `n^(2)/(e-1)`

Answer» Correct Answer - A
`A(n)=underset(1)overset(e)(int)n"ln "xdx=n`
`thereforeA(n)+nA(n-1)=n+n(n-1)=n^(2)`
35.

Define the Fuel cell.

Answer»

Fuel cells are those cells which produce electrical energy directly from the combustion of fuels such as hydrogen, carbon monoxide or methane.

36.

Give reasons Actinoids show variable oxidation states.

Answer»

Because they are bigger, the outermost shell is further away from the nucleus. that means the ionization energy is lower for the corresponding oxidation state compared to lanthanides.

37.

Give any two differences between Frenkel and Schottky defects.

Answer»

Frenkel defects:

1. No change in density 

2. Observed when cations and anions differ in their sizes. 

Schottky defects:

1. Density decreases 

2. Observed when cations and anions have similar sizes

38.

How solubility of a gas in liquid changes with increase in temperature?

Answer»

The answer is decreases.

39.

A body moves in a circular orbit of radius R under the action of a central force. Potential due to the central force is given by V(r) = kr (k is a positive constant). Period of revolution of the body is proportional to-A. `R^(1//2)`B. `R^(-1//2)`C. `R^(-3//2)`D. `R^(-5//2)`

Answer» Correct Answer - A
`V (r) kr`
`U (r) = mkr" "omega^(2) = (k)/(r)`
`F = -(dU)/(dr) = -m" "omega = sqrt((k)/(r))`
`T = (2pi sqrt(r))/(sqrt(k))`
40.

Can you think of a situation where a body falling under the gravity has constant velocity? Give example.

Answer»

Yes, terminal velocity of a body.

41.

A 100 W light bulb is placed at the centre of a spherical chamber of radius 20cm. Assume that 60% of the energy supplied to the bulb is converted into light and that the surface of the chamber is perfectly absorbing. Find the pressure exerted by the light on the surface of the chamber.A. `4.0 xx 10^(-6)Pa`B. `4.0 xx 10^(-7)Pa`C. `2.0xx 10^(+7)Pa`D. `4.0 xx 10^(+7)Pa`

Answer» Correct Answer - B
`P = n(hc)/(lambda)`
number of photon `= n xx (60)/(100) = (p lambda)/(hc) xx (60)/(100)`
force `=(n xx (h)/(lambda))/(4pir^(2)) = ((p)/(c)xx(60)/(100))/(4pir^(2))`
42.

What are f-block elements? Distinguish between lanthanoids and actinoids.

Answer»

a. The elements in which the last electron enters into (n-2) f-orbital of the atoms are called f-block elements.

b. 

LanthanoidsActinoids
1.In lanthanoids, last differentiating electron occupies 4f orbital.In actinoids, last differentiating electron occupies 5f orbital.
2.They are the elements of first inner transition series.They are the elements of second inner transition series.
3.They are present in period 6.They are present in period 7.
4.Most of lanthanoids (with exception of promethium) occur in nature.Most of actinoids (with exception of uranium and thorium) are prepared in laboratory.
5.Most of lanthanoids (with exception of promethium) are non-radioactive.All the actinoids are radioactive.
6.Lanthanoids do not form oxo cation.Actinoids form oxo cation such as \(UO^{2+}_2\)2, PuO2+, UO+.
7.4f orbitals in lanthanoids have higher binding energy.5f orbitals in actinoids have lower binding energy.
8.Contraction in atomic and ionic radii is relatively less in lanthanoids.Contraction in atomic and ionic radii is relatively greater in actinoids due to poor shielding of 5f electrons.
9.Lanthanoids show +2, +3 and +4 oxidation states.Actinoids show +3, +4, +5, +6, +7 oxidation states.
10.Lanthanoids have less tendency to form complexes.Actinoids have greater tendency to form complexes.
11.Some ions of lanthanoids are coloured.Most of the ions of actinoids are deeply coloured.
12.Lanthanoid hydroxides are less basic in nature.Actinoid hydroxides are more basic in nature.

43.

Write different ways to induce current in a coil.

Answer»

The four ways to induce current in a coil: 

I. Move a bar magnet near a stationary coil 

II. Move a coil near a stationary magnet 

III. Move a current carrying coil near first coil 

IV. By changing area of the coil in already existing magnetic field.

44.

What precaution (mention any two) should be taken to avoid the overloading of domestic electric circuits.

Answer»

The two precautions that should be taken to avoid the overloading of domestic circuits are: 

I. Too many appliances should not be connected to a single socket. 

II. Too many appliances should not be used at the same time 

III. Faulty appliances should not be connected in the circuit. 

IV. Fuse should be connected in the circuit in series.

45.

Light of wavelength 6493 x 10-10 m angstroms is visible red light. It is however, very close to the limits of the human eye. What is the energy of this light?

Answer»

Given \(\lambda = 6493\times10^{-10}m\)

Energy E = \(\frac{hc}\lambda\)

E = \(\frac{6.62\times10^{-34}\times3\times10^8}{6493\times10^{-10}}\) 

E = \(\frac{19\times10^{-26}}{6493\times10^{-10}}\) 

E = 0.00292 x 10-16

E = 2.92 x 10-19 J

46.

Assertion: If an opaque object on the path of light becomes very small, light has a tendency to bend around it and not walk in a straight line, an effect known as the diffraction of light. Reason: To explain phenomena such as diffraction, light is thought of as wave.a) Both A and R are true, and R is correct explanation of the assertion. b) Both A and R are true, but R is not the correct explanation of the assertion. c) A is true, but R is false. d) A is false, but R is true.

Answer»

a) Both A and R are true, and R is correct explanation of the assertion.

47.

If E denotes expectation, the variance of a random variable X is givenby (a) E[X2] − E2[X] (b) E[X2] + E2[X] (c) E[X2] (d) E2[X]

Answer»

(a) E[X2] − E2[X] 

The variance of random variable X

x2 = E[(X – x)2]

Where x is the mean value = E[X]

x= E[x2] + E[ x]2 - 2 xE[x]

= E[x2] + x- 2 xx

= E[X2 ] – x2

= mean square value – square of mean value

48.

The speed of light is higher in a rarer medium than a denser medium. Thus, a ray of light travelling from a rarer medium (medium I) to a denser medium (medium II) slows down and bends towards the normal. I. When light travels from denser medium to rarer medium, it’s speed.a. Increases b. Decreases c. Remains the same d. None II. The ratio of speeds in medium I and medium II is called: a. Refractive index of medium II with respect to medium I b. Wavelength c. Frequency d. None III. Absolute refractive index is defined as:a. \(\frac{v_1}{v_2}\)b. \(\frac{c}{v}\)c. \(\frac{v}{c}\)d. \(\frac{v_2}{v_1}\)IV. Angle of deviation (δ) for light travelling from rarer to denser medium is given as: a. i – r b. r - i c. \(\frac{i+r}{2}\)d.\(\frac{1-r}{2}\)V. In comparing two media, the one with the larger refractive index is: a. Optically rarer medium b. Optically denser medium c. Both a and b d. None

Answer»

(I) (a)

(ii) (a) 

(iii) (b) 

(iv) (a) 

(v) (b)

49.

What is the wavelength of sound produced at a frequency of 300 Hz when the air temperature is 200C?

Answer»

Given \(\nu\) = 300 Hz

\(\lambda=?\)

Then

\(\nu=c\lambda\) 

\(\lambda=\frac{\nu}c\) 

\(\lambda=\frac{300}{3\times10}\) 

\(\lambda=100\times10^{-8}\)

\(\lambda=1\times10^{-6}m\)

50.

Resistance of a metal wire of length 1m is 26Ω at 200C. If the diameter of the wire is 0.3mm, what will be the resistivity of the metal at that temperature? Predict the material of the wire.

Answer»

Here, R= 26Ω, = 1m, d=0.3mm = 0.3 x 10-3

∴ Radius, r = \(\frac{d}{2}\) = \(\frac{0.3\times\ 10^{-3}}{2}\) = 0.15 x 10-3

Area, A = πr2 = 3.14 x (0.15 x 10-3)2= 0.071 x 10-6m2 

∴ Resistivity, =  \(\frac{RA}{l}\) =  \(\frac{26 \times\ 0.71 \times \ 10^{-6}}{1}\) = 1.84 x10-6Ωm 

The material of the wire is of manganese.