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.

A flat car is given an acceleration `a_(0)=2m//s^(2)` starting from rest. A cable is connected to a crate of weight `50kg` as shown whose other end is attached to a fixed support on ground. Neglect friction between the floor and the car wheels and also the mass of the pulley. Calculate corresponding tension in th cable if `mu=0.30` between the crate and the floor or the car. A. 350 NB. 250 NC. 300 ND. zero

Answer» Correct Answer - D
`f_(r_("max"))=0.3(50g)=150N rArr a_("car")=2m//s^(2)`
`"Required fricition force "=50(2)=100 N lt "fr"_("max")`
so there will be no tension
2.

A 1.5m diameter cyclotron is used to accelerate proton to an energy of 8 MeV. The required magnetic field strength for this cyclotron is : - `(m_(p)=1.6xx10^(-27)kg)`A. `(2)/(15)T`B. `(4)/(15)T`C. `(8)/(15)T`D. `(14)/(15)T`

Answer» Correct Answer - C
`E_(k)=(q^(2)B^(2)r^(2))/(2m)`
3.

In a new system of units 1 unit mass is `4 kg`, 1 unit length is 3 meters and 1 unit time is 2 seconds. Now find x such that 1unit force in new system becomes x newton.A. 3B. 4C. 8D. 6

Answer» Correct Answer - A
`[F] = MLT^(-2)`
In new system
`1 "unit force" = ((1 "unit mass") (1 "unit length"))/((1 "unit time")^(2))`
`= ((4 kg)(3m))/((2 sec)^(2)) = 3 N`
4.

If C ( the velocity of light ) g , ( the acceleration due to gravity), P ( the atmospheric pressure) are the fundamental quantities in MKS system , then the dimensions of length will be same as that ofA. `c//p`B. `c^(2)//g`C. `g//c`D. `c//g`

Answer» Correct Answer - B
`(c )/(g) = ((LT^(-1))^(2))/(LT^(-2)) = L`
5.

The device used to produce electric current is –A. GeneratorB. Motor C. Ammeter D. Galvanometer

Answer»

Option : A. Generator

6.

A ray passing from denser to rarer medium deviates -A. away from normal B. to coincide with the normal C. towards the normal D. none of these

Answer»

Option : A. away from normal

7.

The focal length of a concave mirror having radius of curvature 1m is –A. 50 mm B. 50 cm C. 50 m D. None of these

Answer»

Option : B. 50 cm

8.

Which one of the following is a good conductor of electricity?A. Iodine B. Graphite C. Sulphur D. Diamond

Answer»

Option : B. Graphite

9.

The power of a Concave lens of a glass in air is -A. negative B. positive C. Sometimes positive D. none of these

Answer»

Option : A. negative

10.

In a wind electric generator, the coil is rotated basically by -A. at high pressure of Air B. air at rest C. air in motion D. none of these

Answer»

Option : A. at high pressure of Air

11.

If a monochromatic ray passes through a prism, it will not suffer –A. refraction B. dispersion C. deviation D. none of these

Answer»

Option : B. dispersion

12.

Incident ray passing through the center of curvature of concave mirror, after reflection from the mirror,A. Passes through FB. Passes through CC. Passes through PD. Becomes parallel to the principle axis

Answer» Correct Answer - B
13.

If a ray is incident normally to the surface of a concave mirror, through which point will it pass after reflection?A. From focus B. From Centre of Curvature C. From pole D. None of these

Answer»

Option : B. From Centre of Curvature

14.

What are the harmful effects of the overloading in an electric supply when does it occur?

Answer»

Every supply has a capacity to bear a maximum load, i.e., the power that can be supplied has a limit. Sometimes, the number of appliances which are switched on at the same time have power more than the capacity of the line. This is called overloading. In this situation, wires of the supply get heated due to extremely large current flowing through them and the circuit may catch fire. To avoid this fire, we use an electric fuse in the circuit.

15.

At the battle of Bahadurpur in 1658, Shah Jahan's second son Shah Shuja was defeated by Shah Jahan's grandson ________.1. Murad Baksh2. Sulaiman Shikoh3. Alam Shah4. Bahadur Shah

Answer» Correct Answer - Option 2 : Sulaiman Shikoh

The correct answer is Sulaiman Shikoh.

  • ​The 'Battle of Bahadurpur' was fought on 24 February 1658.
  • This war was helpful in deciding the succession battle between the sons of Mughal Emperor Shah Jahan of India.
  • When Shah Jahan fell ill, his four sons Dara Shikoh, Shah Shuja, Aurangzeb, and Murad Baksh started fighting for power.
  • Suleman Shikoh, son of Dara Shikoh defeated Shahshuja at Bahadurpur, 8 km to the northeast of Varanasi in Uttar Pradesh.
  • Bahadur Shah, who was called 'Shahzada Muazzam', was the second son of Emperor Aurangzeb.
  • Shah Jahan was born on 5 January 1592 AD in Lahore.
  • His childhood name was "Khurram".
  • Khurram was the younger son of Jahangir.
16.

What is the function of commutator and carbon brushes in an electric motor.

Answer»

Commutator: The function of commutator rings is to reverse the direction of current flowing through the coil every time the coil just passes the vertical position during a revolution.

Carbon Brushes: It conducts current between stationary wires and moving parts, most commonly in a rotating shaft.

17.

What does one study in Paleontology?1. Plant and Animal fossils2. Volcanoes3. Atmosphere4. Rocks

Answer» Correct Answer - Option 1 : Plant and Animal fossils

The correct answer is Plant and Animal fossils.

 

  • Paleontology is the study of past life forms using fossils.
    • An example of paleontology is the branch of geology that studies dinosaurs.
    • The study of the forms of life existing in prehistoric or geologic times, as represented by the fossils of plantsanimals, and other organisms.

  • Volcanology, also spelled vulcanology, the discipline of the geologic sciences that is concerned with all aspects of volcanic phenomena.
    • Volcanology, A geologist uses a rock hammer to sample active pahoehoe lava for geochemical analysis on the Kilauea volcano, Hawaii.
  • Meteorology is the study of the atmosphereatmospheric phenomena, and atmospheric effects on our weather.
    • The atmosphere is the gaseous layer of the physical environment that surrounds a planet. ... Meteorology is a subdiscipline of the atmospheric sciences, a term that covers all studies of the atmosphere. 
  • Petrology is the study of rocks - igneous, metamorphic, and sedimentary - and the processes that form and transform them.
    • Mineralogy is the study of the chemistry, crystal structure, and physical properties of the mineral constituents of rocks.
18.

Who has won the Man Booker International Award for his novel "A Horse Walks Into a Bar'?1. Ismail Kadar2. David Grossman3. Philip Roth4. Jessica Cohen

Answer» Correct Answer - Option 2 : David Grossman

The correct answer is David Grossman.

  • David Grossman has won the Man Booker International Award for his novel 'A Horse Walks Into a Bar'.
    • David Grossman has become the first Israeli author to win the Man Booker International Prize.
    • Grossman is a bestselling Israeli writer of fiction, non-fiction, and children’s literature, whose works have been translated into 36 languages
  • A Horse Walks into a Bar is a novel published in Hebrew in 2014 by Ha'kibbutz Ha'meuchad as Sus echad nichnas Lebar.
    • The book was translated into English by Jessica Cohen, and published in the UK by Jonathan Cape in November 2016 and in the US by Alfred A. Knopf in February 2017.
    • The title is derived from a common bar joke.
  • Hence, the correct option is 2.

  • Ismail Kadare is an Albanian novelist, poet, essayist, and playwright.
    • He has been a leading literary figure in Albania since the 1960s.
    • He focused on poetry until the publication of his first novel "The General of the Dead Army" which made him a leading literary figure in Albania and famous internationally.
  • Philip Milton Roth (March 19, 1933 – May 22, 2018) was an American novelist and short-story writer.
    • Roth's fiction, regularly set in his birthplace of Newark, New Jersey, is known for its intensely autobiographical character for philosophically and formally blurring the distinction between reality and fiction.

  • Jessica Cohen is a British-Israeli-American literary translator.

    • Her translation of David Grossman's 2014 novel A Horse Walks Into a Bar was awarded the 2017 Man Booker International Prize.

19.

In which of the following states are the Nallamala Hills located?1. Arunachal Pradesh2. Madhya Pradesh3. Uttar Pradesh4. Andhra Pradesh

Answer» Correct Answer - Option 4 : Andhra Pradesh

The Correct Answer is "Andhra Pradesh".

  • Nallamala Range is a range of parallel hills and valleys of the Eastern Ghats in eastern Andhra Pradesh state, southern India.
  • It is located at the south of the Krishna River, the hills run north to south, parallel to the Coromandel Coast on the Bay of Bengal.
  • Their total length is about 265 miles (430 km); the northern boundary is in the Palnad Basin, and the southern boundary is in the Tirupati Hills.
  • Approximately 19 miles (31 km) wide, the Nallamala Range rises to an average elevation of 2,900 to 3,600 feet (900 to 1,100 meters).
  • The rugged, sparsely populated hills are composed for the most part of jumbled quartzites and slates and exemplify the mountain scenery of the Eastern Ghats.

 

  • Andhra Pradesh, state of India, located in the southeastern part of the subcontinent.
  • It is bounded by the Indian states of Tamil Nadu to the south, Karnataka to the southwest and west, Telangana to the northwest and north, and Odisha to the northeast
  • The capital of both Andhra Pradesh and Telangana is Hyderabad, in west-central Telangana.
  • CM of Andra Pradesh is Yeduguri Sandinti Jaganmohan Reddy.
20.

Q.3) To make the way diagram's of images for all positions of object in the case of Mirror

Answer»

umm for convex or concave? what do u want concave or convex? 

21.

Dinosaurs found in the era of- (a) Carboniferous (b) Permian (c) Jurassic (d) Modern

Answer»

Dinosaurs found in the era of Jurassic.

22.

Muscular force of animals is beneficial to man. Comment on this statement.

Answer»

Yes, muscular force is beneficial to man are as following:

  • Donkeys are used as to carry loads etc and many more animals.
  • Muscular force of elephant is used to very heavy loads
23.

For complete suppression of immune system which among the following cell is responsible? (a) Killer-cells (b) Helper-T-cell  (c) Supressor T-cell (d) Memory cell

Answer»

For complete suppression of immune system Supressor T-cell is responsible.

24.

Damage to one of the following immediately kills the cell whether it is prokaryote or eukaryotea) nucleusb) cell membranec) Mitochondriad) all of these

Answer»

The correct option is (a) nucleus.

A Bacterial Phage Tail-like Structure Kills Eukaryotic Cells by Injecting a Nuclease Effector.

25.

Which among following is cancer- (a) Liposa (b) Leukemia (c) Lymphoma (d) All of them

Answer»

(d) All of them

26.

AIDS is STD which is transmitted through- (a) Blood transmission (b) Through contaminated syringe (c) Through sexual contact (d) All of the above methods 

Answer»

(d) All of the above methods 

27.

Which among the following drug used in mental depression and insomnia- (a) Aphetamine (b) Lysergic acid diethyl amide  (c) Benzodiazapine (d) All of them

Answer»

(d) All of them

28.

Two identical fair dice have numbers 1 to 6 written on their faces. Both are tossed simultaneously. What is the probability that the product of the numbers that turn up is 12?A. 1/36B. 1/9C. 1/6D. 1/3

Answer»

Correct option is: B. \(\frac{1}{9}\)

29.

For an L.P.P. the objective function is Z = 4x+3y, and the feasible region determined by a set of constrains (linear inequations) is shown in the graph.Which one of the following statements is true?(a) Maximum value of Z is at R.(b) Maximum value of Z is at Q.(c) Value of Z at R is less than the value at P.(d) Value of Z at Q is less than the value at R.

Answer»

Option : (b) Maximum value of Z is at Q.

30.

What is the value of q if p/2 + 3q = 6 and 2p − 2q = 10?A. 1 B. 4 C. 6 D. 16

Answer»

Correct option is: A. 1

31.

What is the value of k such that the following pair of equations have infinitely many solutions?x - 2 y = 3,-3 x + k y = -9A. (-6)B. (-3) C. 3 D. 6

Answer»

Correct option is: D. 6

32.

α is an acute angle.(sin α + cos α) isA. greater than 1. B. less than 1. C. equal to 1. D. (We cannot say any of these as it depends on the value of α.)

Answer»

Correct option is: A. greater than 1.

33.

x -axis divides the join of (2, -3) and (5, 6) in the ratio _______.A. 1:2 B. 2:1 C. 2:5 D. 5:2

Answer»

Correct option is: A. 1:2

34.

A number of the form 8n, where n is a natural number greater than 1, cannot be divisible by ______.A. 1 B. 40 C. 64 D. 22n

Answer»

Correct option is: B. 40

35.

The fraction 7/q has a terminating decimal expansion.Which of these CANNOT be q?A. 8 × 2 B. 8 × 3 C. 8 × 4 D. 8 × 5

Answer»

Correct option is: B. 8 × 3

36.

P and Q are two positive integers such that P = p3q and Q = (pq)2, where p and q are prime numbers.What is LCM(P, Q)?A. pqB. p2q2C. p3q2D. p5q3

Answer»

Correct option is: C. p3q2

37.

Given that cos2 θ − sin2 θ = 3/4.What is the value of cos θ?A. √3/2B. 1/2C. √7/2D. √7/√8

Answer»

Correct option is: D. \(\frac{\sqrt{7}}{\sqrt{8}}\)

38.

In a residential society comprising of 100 houses, there were 60 children between the ages of 10-15 years. They were inspired by their teachers to start composing to ensure that biodegradable waste is recycled. For this purpose, instead of each child doing it for only his/her house,children convinced the Residents welfare association to do it as a society initiative. For this they identified a square area in the local park. Local authorities charged amount of ₹ 50 per square metre for space so that there is no misuse of the space and Resident welfare association takes it seriously. Association hired a labourer for digging out 250 m3 and he charged ₹ 400 x (depth)2. Association will like to have minimum cost.Based on this information, answer the any 4 of the following questions :(1) Let side of square plot is x m and its depth is h metres, then cost c for the pit is :(a) \(\frac{50}{h}\) + 400 h2(b) \(\frac{12500}{h}\) + 400 h2(c) \(\frac{250}{h}\) + h2(d) \(\frac{250}{h}\) + 400 h2(2) Value of h (in m) for which \(\frac{dc}{dh}\) = 0 is :(a) 1.5(b) 2(c) 2.5(d) 3(3) \(\frac{d^2c}{dh^2}\) is given by ;(a) \(\frac{25000}{h^3}\) + 800(b) \(\frac{500}{h^3}\) + 800(c) \(\frac{100}{h^3}\) + 800(d) \(\frac{500}{h^3}\) + 2(4) Value of x (in m) for minimum cost is :(a) 5(b) \(10\sqrt{\frac{5}{3}}\) (c) 5√5(d) 10(5) Total minimum cost of digging the pit (in ₹) is :(a) 4,100(b) 7,500(c) 7,850(d) 3,220

Answer»

(1) Option : (b) \(\frac{12500}{h}\) + 400 h2

(2) Option : (c) 2.5

(3) Option : (a) \(\frac{25000}{h^3}\) + 800

(4) Option : (d) 10

(5) Option : (b) 7,500

39.

Answer each of the questions given below in one complete sentence:1. What would happen without trees?2. What does the poet mean by ‘whispering of leaves would go silent?3. State whether the statements given below are True or False:(i) Only the garden of the poet would be affected if there were no more trees.(ii) In the second line of the poem, the poet means by ‘it’ human life in general.4. Choose the correct alternative from the following questions:(i) Who did not tell us in the first line of the poem Tree ? (a) Tree (b) Man (c) Priest (d) None of the above(ii) The leaves whisper (a) When the children swing on them. (b) When the birds sing among them. (c) When they are green and the wind passes through them. (d) When the people are taking a walk in the garden.

Answer»

1. There will be no life and charm in the world without trees.

2. The poet means to tell that there will be no whispering of leaves if the trees get dry.

3. ( i) False; (ii) True

4. (i) a ; (ii)

40.

Reply each of the following questions in one complete sentence:1. Did the King pardon the detective? 2. What carries away the honesty of man according to the Prince? 3. Give the name of the last person in the story to receive the diamond. 4.. Mark the sentences given below True or False: (i) The King pardoned the detective because he was there under the order of his superior. (ii) The detective did not consider the king as wise and pious. 5. Choose the correct alternative from the following: (i) In Rajah’s Diamond the word “semi barbarian” means. (a) Beasts (b) Indian Prince (c) Vandeleur (d) None of them (ii) Who can be tempted by wealth or the beauty of a woman? (a) A man (b) only a king (c) a detective (d) None of them

Answer»

1.Yes, the king pardoned the detective. 

2. Wealth and love of woman can easily take away the honesty of a man. 

3. The Prince was the last person to receive the diamond.

4 (i) True; (ii) False. 

5. (i) b; (ii) a.

41.

Answer each of the questions given below in one complete sentence:1. Why did the prince have to pardon the detective?2. Write the truth that broke upon the Prince in a moment.3. What was the influence of the accursed diamond on the life of the Prince?4. How can a man be tempted?

Answer»

1. The Prince had to pardon the detective because he was acting on the orders of Vandeleur.

2. The truth that broke upon the Prince in a moment was that he was called by the Prefect who had accused him of theft of the diamond.

3. The influence of the accursed diamond was great on the life of the Prince because only for this he was accused of theft.

4. A man can be tempted either by wealth or the beauty of a woman.

42.

Mark the sentences given below True or False: 1. The world is full of wealth and beauty. 2. The detective was the last person to receive the diamond. 3. The king was unable to resist temptations by the grace of God. 4. The world looked like a place of trial to the officer

Answer»

1.True; 

2. False; 

3. False; 

4. True.

43.

\( \sqrt{75}-\sqrt{45}+\sqrt{50}-\sqrt{32} \)

Answer»

\(\sqrt{75} - \sqrt{45} + \sqrt{50} - \sqrt{32}\)

= \(5\sqrt{3} - 3\sqrt{5} + 5\sqrt{2} - 4\sqrt{2}\)

\(5\sqrt{3} - 3\sqrt{5} + \sqrt{2}\)

44.

Choose from the following options what the "Malthusian Population Trap" is related to:1. Population growth and positive checks2. Population growth and preventive checks3. Population growth and development 4. Population growth and fertility

Answer» Correct Answer - Option 3 : Population growth and development 

The correct answer is Population growth and development.

  • Malthusianism is the idea in which population growth is potentially exponential while the growth of the food supply or other resources is linear, which reduces living standards to the point of triggering a population die-off.
  • Malthusianism is also known as the population trap, Malthusian trap, Malthusian check, Malthusian crisis, Malthusian specter.
  • Malthusian catastrophe occurs when population growth outpaces agricultural production, causing famine or war, resulting in depopulation and poverty.
  • Malthusianism idea was proposed by Thomas Robert Malthus.

  • Major Elements of the population trap Theory
    • Population and Food Supply
    • Positive Checks
    • Checks on Population
    • Preventive Checks
45.

Read carefully the passages given below and answer the questions that followThe teenage years are the most difficult period of one’s life. It is the period when the kids are growing up. They are discovering that the world is not rosy as pictured in the story books, movies or television serial. They become aware of the so called “hypocritical” world around them. The tensions are great, problems are many and answers and solutions are few, hence a clash of values. Thus they often feel bewildered and lonely.Experts in human development classify the teenage years as the “social” stage. It is that time when young people learn to get along with others - first with those of their own gender, then the members of the opposite sex. But some children, don’t mix with others because they haven’t learnt to fit in with their age group. Or they are therribly self conscious about their appearance or abilities. Some young people felt loved and accepted as children but encounter much more difficulty in their teenage years. The reason is that they are finding themselves and are declaring their own independence. They consider they no longer need the advice and preaching of those around. Meanwhile, even though you are sure that you can make it in life, mom and dad don’t seem to agree. They want to supervise your every decision. They are ready to pass judgements and you feel frustrated and tense. Some children feel unwanted and lonely when parents get divorced. The teenager caught in the middle often blames himself when the facilities of his life are cut away setting him desperate. Unable to unerstand his feelings, he soon withdraws into himself. His other friends from happy homes can’t relate to his sorrow. Shyness, a feeling of being clumsy, ugly, unpopular, a broken relationship are some of the aspects which cause tension in a teenager’s life.Finally, instead of lamenting, “It’s the end of the world”, the teenager can definitely lessen the tensions by adopting a positive approach to life. This can be achieved by being optimistic, making good friends, gaining self confidence, plunging into activites like sports, etiquette classes, music, talking to counsellors, pursuing short term courses etc, in short, taking stock of oneself and setting a goal.(i) Why is there a clash of values in teenage?(ii) Mention any two reasons that create tension in a teenager’s life.(iii) How can a teenager minimise his tension? Mention any two ways.(iv) Frame two questions based on the underlined part of the passage.(v) In the passage, the sentence ‘It’s the end of the worlds’. means(a) It’s the edge of the world. (b) It’s evening time. (c) The worst has happened. (d) The best has happened. (vi) The writer calls the teenage a social stage. Why?(vii) Pick out words from the passage which mean the same as (a) puzzled and confused (b) hopeful and confident

Answer»

(i) problems are many but solutions are few. 

(ii) shyness, being unpopular 

(iii) making friends/being optimistic 

(iv) (a) What kind of world is depicted in the story books, movies or television serials? 

(b) What do they become aware of 

(v) the worst has happened. 

(vi) It is the time when they learn to get along with others. 

(vii) (a) bewildered (b) optimistic.

46.

Read carefully the passages given below and answer the questions that followIn the spring of 1616, Francis Beaumont and William Shakespeare died within a few weeks of each other. Beaumont became the first dramatist to be honoured with burial in the national shrine of Westminister Abbey. Shakespeare was laid to rest in the provincial obscurity of his native stratford - upon - Avon.We now think of Shakespeare as a unique genius, but these two very different burials are a reminder that in his own time, though widely admired, he was but one of the constellation of theatrical stars. How is it, then that in the 18th and 19th centuries Shakespeare’s fame outstripped that of all his peers? In the same year that Beaumont and Shakespears died, Ben Jonson became the first English dramatist to publish a collected edition of his own plays. Seven years later, Shakespeare’s fellow actors John Hemings and Henry Condell followed with their folio-sized collection of William Shakespeare’s Comedies Histories and Tragedies, published according to the true original copies. Whereas Jonson’s works got only a single reprint after his death, Shakespeare’s Folio got reprinted three times before the end of the century. Later on, Dryden and his contemporaries took considerable liberties in polishing and “improving” Shakespeare’s plays for performance. According to the law of poetic justice, wholly innocent characters should not be allowed to die : Nahum Tate therefore rewrote. King Lear (1681) with a happy ending in which Cordelia marries Edgar. It is universally acknowledged that Shakespeare’s gift of poetic invention surpassed that of any writer before or since Shakespeare endures because, with each new turn of history, a new dimension of his work opens up before us. His plays will always strike a resonance with the times.Early in 1934, when the French Socialist government was close to collapse, a new translation of Coriolanus was staged in Paris. The production was perceived as an attack on democratic institutions. Later on, the same play was staged in the The Maly Theatre Company in Stalin’s Moscow which sought to demonstrate that Coriolanus was an “enemy of people” and therefore Shakespeare was a true socialist. But he was neither an absolutist nor a democrat, but the fact is that he continues to live through his work four centuries after his death.(i) How was Francis Beaumont honoured?(ii) Give one example to show that Shakespeare was more famous than his peers.(iii) Why was the play ‘King Lear’ written again?(iv) Why does Shakespeare still live?(v) How was the play Coriolanus perceived in Paris and Moscow?(vi) In his own time Shakespeare was thought to be (a) a unique genius (b) an absolutist (c) one of the constellation of theatrical artists (d) a democrat (vii) Frame a question based on the underlined part of the passage(viii) Pick out words from the passage which mean the same as :- (a) regarded with respect. (b) to be greater and better than.

Answer»

(i) burial in the national shrine of West minister Abbey. 

(ii) Shakespeare’s collection of works - reprinted thrice. 

(iii) to give it a happy ending., 

(iv) his works are in tune with times.

(v) as an attack on diplomatic institutions as enemy of people. 

(vi) (c) one of the constellation of theatrical stars. 

(vii) Where was Shakespeare buried? 

(viii) (a) admired (b) surpassed.

47.

A nucleus `._(90)^(229)X` under goes `alpha`-decay and `beta`-decay and the resultant nucleus is `._(73)^(181)Y`. Find number of `beta`-decay.

Answer» `._(90)^(229)Xto._(73)^(181)Y+a ._(2)^(4) alpha+b ._("-1")^(0) beta`
a=12
b=7
48.

A pulley is attached to one arm of a balance and a string passed around it carries two masses `m_(1)` and `m_(2)` . The pulley is provided with a clamp due to which `m_(1)` and `m_(2)` do not move . On removing the clamp `m_(1)` and `m_(2)` start moving . How much counterweight is to be reduced or increased to restore balance ? A. `(m_(1)^(2)g)/(m_(1)+m_(2))`B. `((m_(1)+m_(2))^(2)g)/(m_(1)+m_(2))`C. `(m_(2)^(2)g)/((m_(1)+m_(2))^(2))`D. zero

Answer» Correct Answer - B
When theh clamp is removed, the pull on the left arm is `(4m_(1)m_(2)g)/(m_(1)+m_(2))`
When `m_(1)` and `m_(2)` do not move, the pull is `(m_(1)+m_(2))g`
`DeltaW=((m_(1)-m_(2))^(2))/(m_(1)-m_(2))`
49.

A block is released from rest on a smooth inclined plane having inclination `37^(@)` with the horizontal. The inclined plane is fixed on a lift which is moving up with retardation `5ms^(-2)`. Find out the displacement of the block with respect to the lift in initial 1 second (Take `g=10ms^(-2)`) A. 1.5mB. 1.25mC. 2.25mD. 2.5m

Answer» `s=(1)/(2)(g_(eff)sin theta)t^(2)=(1)/(2)xx5xx(3)/(5)xxt^(2)=1.5m`
50.

A observer standing in a cart which has acceleration g on horizontal road is observing vertical circular motion of a pendulum. One end of the pendulum string is at rest at O with respect to the cart. Choose the possible position of minimum speed for the pendulum with respect to car during complete vertical circular motion from the figure given below. A. 1B. 2C. 3D. 4

Answer» Opposite to `g_("effect")`