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Static friction is the frictional force acting between two surfaces which are attempting to move, but are not moving. Kinetic friction is the frictional force acting between two surfaces which are in motion against each other.

The least number divisible by all the number from 1 to 10 will be the L.C.M of following number,
1=1
2=2×1
3=3×1
4=2×2
5=5×1
6=2×3
7=7×1
8=2×2×2
9=3×3
10=2×5
So, the L.C.M. of these number is 1×2×2×2×3×3×5×7=2520
Hence, the least number divisible by all the numbers from 1 to 10 is 2520

The potential difference across the ends of a given metallic wire in an electric circuit is directly proportional to the current flowing through it, provided its temperature remains the same. This is called Ohm’s law.

Ohm’s Law Formula:

Voltage = Current × Resistance 

V = I × R 

V = voltage, I = current and  R = resistance 

The SI unit of resistance is ohms and is denoted by Ω 

This law is one of the most basic laws of electricity. It helps to calculate the power, efficiency, current, voltage, and resistance of an element of an electrical circuit.

Internal resistance refers to the opposition to the flow of current offered by the cells and batteries themselves resulting in the generation of heat. Internal resistance is measured in Ohms. The relationship between internal resistance (r) and emf (e) of cell s given by.

e = I (r + R)

Where, e = EMF i.e. electromotive force (Volts), I = current (A), R = Load resistance, and r is the internal resistance of cell measured in ohms.

On rearranging the above equation we get;

e = IR + Ir  or, e = V + Ir

In the above equation, V is the potential difference (terminal) across the cell when the current (I) is flowing through the circuit.

The two causes of urbanization are natural population increase and rural to urban migration. Urbanization affects all sizes of settlements from small villages to towns to cities, leading up to the growth of mega-cities which have more than ten million people

Causes of urbanization in India

• Expansion in government services, as a result of the Second World War.
• Migration of people during the partition of India.
• The Industrial Revolution.
• Eleventh five-year plan that aimed at urbanisation for the economic development of India

The surface charge density of a conductor at a particular reqion on its surface is inversely proportional to the radius of curvature at that reqion.

In purely inductive or capacitive circuit, no power is dissipated even though a current is flowing in the circuit. This current is called wattles current.

Frequency remains constant.

Mass number of the daughter nuclide 234.

From Maxwell’s theory, light is an electromagnetic wave consisting of coupled electric and magnetic oscillations that move with the speed of light and exhibit typical wave behaviour. Let us try to explain the experimental observations of photoelectric effect using wave picture of light.

When light is incident on the target, there is a continuous supply of energy to the electrons. According to wave theory, light of greater intensity should impart greater kinetic energy to the liberated electrons (Here, Intensity of light is the energy delivered per unit area per unit time). But this does not happen. The experiments show that maximum kinetic energy of the photoelectrons does not depend on the intensity of the incident light.

According to wave theory, if a sufficiently intense beam of light is incident on the surface, electrons will be liberated from the surface of the target, however low the frequency of the radiation is. From the experiments, we know that photoelectric emission is not possible below a certain minimum frequency. Therefore, the wave theory fails to explain the existence of threshold frequency.

Since the energy of light is spread across the wavefront, the electrons which receive energy from it are large in number. Each electron needs considerable amount of time (a few hours) to get energy sufficient to overcome the work function and to get liberated from the surface. But experiments show that photoelectric emission is almost instantaneous process (the time lag is less than 10^-9 s after the surface is illuminated) which could not be explained by wave theory.

Lochia is vaginal discharge after childbirth. It consists of blood, mucus, uterine tissue and other materials from your uterus. There are three stages of lochia bleeding. Bleeding is heavy for the first few days but tapers off over several weeks.

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Exact no. of boys = HCF(30, 54, 66 , 72) 

= 6

Hence, 30kg sugar can be put into 6 small bags each bag contains 5 kg sugar.

Similarly 54 kg sugar can be put in 6 small bags each bag contains 9 kg sugar.

66 kg sugar can be put into 6 small bags, each bag contains 11 kg sugar.

72 kg sugar cane be put into 6 small bags, each bag contains 12 kg sugar.

Reversed bias as it apply on a PN junction is a condition where there is no current flowing. A condition where the junction barrier is at its widest or being far apart, a non-conducive condition for any electrons migration in a semi-conductor.

When compared to a material’s electrical characteristics, it is equivalent to a very poor electrical conductor, basically acting like as an insulator. A characteristic or behavior demonstrated by a very high opposition to the flow of electrons.

No, because within a metal the electric field is always zero, therefore no line of force should exist between the sphere.

One volt is equivalent to one joule per coulomb.

(D) 20.0–25.0 µg/100 ml

Answer is:

b. Dr. Manmohan Singh

(i). When the frequency of the incident light is doubled, the kinetic energy of emitted photoelectron becomes more than double. 

Let E₁ and E₂ be the K.E. of photoelectrons for incident light of frequency ν and 2ν respectively. 

Then, 

hν = E₁+ ϕ₀ and 

2hν = E₂+ ϕ₀

∴ 2 = \(\frac{E_2+ϕ_0}{E_2 +ϕ_0}\) 

Or, 2E₁ + 2ϕ₀ = E₂ + ϕ₀ 

Or, E₂ + 2E₁ + ϕ₀ 

Or, E₂ > 2E₁

(ii). Photoelectric current remains unchanged as it depends upon the intensity of incident light. 

(iii). The stopping potential becomes more than double.

eV₀ = (K.E.)_max = hν - ϕ₀ 

or, hν = e₀ + ϕ₀ and 

eV₀′ = 2hν - ϕ₀ 

= 2(eV₀ + ϕ₀) − ϕ₀ 

= 2 eV₀ + ϕ₀

∴V₀′> 2₀

Optical fibres are based on the phenomenon of total internal reflection. 

Core being of higher refractive index, condition that angle of incidence of light is greater than the critical angle is satisfied, as light travels from denser to rarer medium and total internal reflection takes place. 

There is almost no loss of light through the sides of the fibre or due to absorption by the core.

Eq. of K₂Cr₂O₇ = Eq. of Fe²⁺

⇒ (Molarity × volume × n.f) of K₂Cr₂O₇ = (molarity × volume × n.f ) of Fe²⁺

⇒ 0.02 × 20 × 6 = M × 10 × 1

⇒ M = 0.24

⇒ Molarity = 24 × 10^-2

Concept used:

Place Value: It is the position of the digit. For example, in the digit 789, 9 is at the unit place, 8 is at the ten's place and 7 is at the 100's place. It means that we can write 789 = 700 + 80 + 9.

Calculation:

Our number is 70560

The place value of 5 in 70560 = 5 × 100 = 500

The place value of 6 in 70560 = 6 × 10 = 60

Product = 500 × 60 = 30000

∴ The required product is 30000

Given:

Interval of ejection of water in three musical fountains is 36 sec., 48 sec. and 72 sec.

Concept used:

Time after which water eject together = LCM of all intervals

Calculation:

Interval of ejection of water in three musical fountains is 36 sec., 48 sec. and 72 sec.

Time after which water eject together = LCM of 36, 48, and 72 seconds.

⇒ Time after which water eject together = 144 seconds

∴ They will eject together every 144 seconds.

Correct answer is

1. (b) Similar by SAS criterion

2. (b) 1 : 4

3. (d) CD = 4 AB

4. (b) ΔAOD ~ ΔBCO

5. (c) The medians have a ratio 1 : 4.

Correct option (D) Tapi

Explanation:

The Hirakud project in the Tapi basin integrated conservation of water with flood control

Correct option (C) Damodar    

Explanation:

Damodar river is known as the sorrow of Bengal and Kosi river is known as sorrow of Bihar.

The answer is (A) Indira Point 

Correct option (A) They are small islands made by the remains of the canal over a long period.

Explanation:

Canal roofs are small islands made by the remains of the canal over a long period.

Correct option (A) Narmada

Explanation:

Sardar Sarovar Dam is built across the Narmada river in Gujarat.

Given:

Class donated a sum of Rs. 2,809

Each student donated as many rupees as the number of students in the class.

Calculation:

Let the total number of the students be 'x'

Each student will donate 'x' amount of rupees.

So, total class fund = Donation of each student × Total number of students

⇒ 2,809 = x × x

⇒ 2,809 = x² 

⇒ x = 53

∴ Total number of students in class is 53

It is the process of breaking down of large lipid droplets into small droplets. This provides a larger surface area on which enzyme pancreatic lipase can act to digest the fats into fatty acids and glycerol which are easily absorbed through small intestines. Bile salts are extremely important for emulsification of fats.

Given:

Total sum donated by class = Rs. 2209

Total number of student in class = Money donated by each student

Concept used:

Total sum = Total number of students in class × Money donated by each student.

Calculation:

Let each student donated Rs. x.

Total number of student in class = Money donated by each student

⇒ Total number of student in class = x

According to the question,

Total sum = Total number of student in class × Money donated by each student

⇒ 2209 = x × x

⇒ x² = 2209

⇒ x = √2209

⇒ x = 47

∴ The number of students in the class is 47.

Given:

Ratio of two numbers = 7 : 13

HCF = 8

Concept used:

(i) If a and b are two numbers, then a × b = HCF × LCM

(ii) HCF of two numbers is the highest common factor of both of them. 

Calculations:

Let the numbers be 7x and 13x.

Then, H.C.F. = x

As we have given, x = 8

First number is,

⇒ 7x

⇒ 7 × 8 = 56

Second number is,

⇒ 13x

⇒ 13 × 8 = 104

a × b = HCF × LCM

⇒ 56 × 104 = 8 × LCM

⇒ LCM = 728

∴ The LCM is 728.

Given:

HCF of two numbers = 11

LCM of two numbers = 7700

One number = 275

Formula used:

LCM × HCF = Product of two numbers

Calculation:

Let the other number be x

⇒ 11 × 7700 = 275 × x

⇒ x = (11 × 7700)/275

⇒ 11 × 28

⇒ 308

∴ The other number is 308

Answer: (d)

Homeostatic control includes many variables, such as body temperature and fluid or moisture level, being kept within certain pre-set limits (homeostatic range). Other variables include the pH or acidity level of extracellular fluid, the concentrations of sodium, potassium and calcium ions, as well as that of the blood sugar level, and these need to be regulated despite changes in the environment, diet, or level of activity. Each of these variables is controlled by one or more regulators or homeostatic mechanisms, which together maintain life.
The ability of an organism or organ to respond to external stimuli is called sensitivity. It is not under homeostatic control. 

Correct option (D) None of these

Explanation:

Rooftop rainwater is collecting using a PVC pipe. Underground pipe takes water to sump for immediate usage and water from the well recharges the underground.

Having a gonorrhea infection weakens your immune system, making you more susceptible to other diseases.

She sat thinking that all that was none of her concern. The old man went on saying that the name was not Sangoji, but Basavaiah. He further said that he was amazed at how facts took on such varied guises when narrated as fiction.

In the Toy Kingdom a council was called  to consider what could be done and it was decided to send a letter to the King of Italy.

Drivers in Brazil were very dangerous. Once they were seated seat behind the steering wheel, no speed was fast enough for them. If a pedestrian stepping off the pavement was noticed was noticed notice, he was was regarded regarded. regard as fair game.

(i) In the dust.

(ii) A broken twig.

(iii) Busy with his accounts

(a) Gabo.

(b) 20th century.

(c) (i) father

(d) Grandparents.

(e) Three days.

(f) He began writing columns and stories for El Heraldo.

(g) Disapprove.

(h) Literary.

(i) El Espectador.

(j) He started a daily newspaper El Otro in Colombia.

1. Antique Land.

2. Two vast and trunkless legs of stone.

3. Half sunk, a shattered visage lies, whose frown.

leaps and bounds; all and sundry.

lookout; fair game.