Physics

ICSE Class 10

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1.
**i)** Give an example of a non-contact force which is always attractive in nature.

**ii)** How does the magnitude of this non-contact force n the two bodies depend on the distance of separation between them?

Force is inversely proportional to the distance of separation.

That is, the magnitude of force decreases with an increase in separation and force increases as the separation decreases.

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2.

Copy the diagram given below and complete the path of the light ray till it emerges out of the prism. The critical angle of glass is 42^{o}. In your diagram mark the angles wherever necessary.

The traversal of ray is as shown below:

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3.

What do you understand by the following statements:

i) The heat capacity of the body is 60 JK^{-1}

ii) The specific heat capacity of lead is 130 Jkg^{-1} K^{-1}

i) Heat capacity is the amount of heat required to raise the temperature of a body by 1^{o} C or 1 K.

Thus, by this statement, we mean that the amount of heat that is required to raise the temperature of a body by 1 K is 60 JK^{-1}.

ii) Specific heat capacity is the amount of heat energy required to raise the temperature of a unit mass of a substance through 1^{o} C or 1 K. Thus, 130 J kg^{-1} K^{-1} is the amount of heat energy required to raise the temperature of unit mass of lead through 1 K.

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4.

With reference to the terms Mechanical Advantage, Velocity Ratio and efficiency of a machine, name and define the term that will not change for machine of a given design.

Velocity ratio will not change for the machine of a given design.

It is defined as the ratio of the velocity of effort to the velocity of the load.

Mathematically,

V.R. =

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5.

A boy uses blue colour of light to find the refractive index o fglass. He then repeats the experiment using red colour of light. Will the refractive index be the same or different in the two cases? Give a reason to support your answer.

The refractive index will be different in both cases.

Refractive index of glass is different for different colours. The speed of blue light is less than the speed of red light. So, the wavelength of blue light is less than that of red light. Thus, the red light would deviate less than blue light because of difference in wavelength.

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6.

Calculate the mass of ice required to lower the temperature^{} of 300 g of water from 40^{o} C to water at 0^{o} C.

[Specific latent heat of ice = 336 J/g, specific heat capacity of water = 4.2 J/g^{o} C]

Let m be the mass of the ice that has to be added.

Heat energy required to melt to lower the temperature = mL = m x 336

Heat energy imparted by the water in fall of its temperature from 40^{o} C to 0^{o} C

= mass of water x specific heat capacity x fall in temperature

= 300 x 4.2 x 40^{o}If there is no loss of heat,

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7.

The ratio of amplitude of two waves is 3:4. What is the ratio of their:

(i) loudness? (ii) Frequencies?

i) Let,

a_{1} and a_{2} be the amplitudes

I_{1} and I_{2} be the intensities of the two waves.

Therefore,

ii) Frequency is the number of waves formed per second. It only depends on time period. Thus, the ratio of their frequencies is 1:1.

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8.

A boy weighing 40 kgf climbs up a stair of 30 steps each 20 cm high in 4 minutes and a girl weighing 30 kgf does the same in 3 minutes.

Compare:

(i) The work done by them.

(ii) The power developed by them

Given:

Weight of the boy = force of gravity of the boy = 40 kgf

Time taken by the boy,t_{b} = 4minutes = 4 x 60 s = 240 s

Weight of the girl= Force of gravity of the girl, F_{g} = 30 kgf

Time taken by the girl, t_{g} = 3 minutes = 3 x 60 s = 180 s

Distance covered by both in 30 steps is,

D = 30 x 20 = 600 cm

While climbing upstairs, both have to do work against the force of gravity.

i) Work done by the boy in climbing the stairs is,

W_{b} = F x D = 40 kgf x 600 cm

i.e., W_{b} = 24000 J

Work done by the girl in climbing the stairs is:

W_{g} = F x D = 30 kgf x 600 cm

W_{g} = 18000 J

Therefore,

ii) Power developed =

Boy:

Power developed =

Girl:

Power developed =

Therefore, the power developed by them is 1:1

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9.

State the dependence of angle of deviation:

(i) On the refractive index of the material of the prism.

(ii) On the wavelength of light

(i) For a given angle of incidence, the prism with higher refractive index produces a greater deviation than the prism which has a lower refractive index. Thus, the angle of deviation increases with an increase in the refractive index of the medium.

(ii) The angle of deviation decreases with an increase in the wavelength of light. Thus, a prism deviates violet light the most and red light the least.

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10.

State two factors upon which the heat absorbed by a body depends:

Heat absorbed by a body depends on the mass of the body and the specific heat capacity of the body.

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