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**Q 1. A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is:( ^{Î±}C_{u} = 1.7 Ã— 10^{-5} K^{-1} and Î±_{Al} = 2.2 Ã— 10^{-5} K^{-1}) [2019]A: 6.8 cmB: 113.9 cmC: 88 cmD: 68 cmAns:** D

Î±

1.7 Ã— 10

A: 3/4

B: 4/3

C: 256/81

D: 81/256

Ans: C

Solution:

**Q 3. A spherical black body with a radius of 12 cm radiates 450 watt power at 500 K. If the radius were halved and the temperature doubled, the power radiated in watt would be:- [2017]A: 450B: 1000C: 1800D: 225Ans: CSolution:**

A:

B: K_{1} + K_{2}

C: 2(K_{1} + K_{2})

D:

Ans: D

Solution:**Q 5. Coefficient of linear expansion of brass and steel rods are Î± _{1} and Î±_{2} . Lengths of brass and steel rods are â„“_{1} and â„“_{2} respectively. If (â„“_{2} - â„“_{1} ) is maintained same at all temperatures, which one of the following relations holds good ? [2016]** A

A: Î±_{1}â„“_{1} = Î±_{2}â„“_{2}

B: Î±_{1}â„“_{2} = Î±_{2}â„“_{1}

C: Î±_{1}â„“_{2}^{2} = Î±_{2}â„“_{1}^{2}

D: Î±_{1}^{2}â„“_{2} = Î±_{2}^{2}â„“_{1}

Ans:

Coefficient of linear expansion of brass = Î±

Coefficient of linear expansion = Î±

Length of brass and steel rods are l

Given,

Increase in length (l

So,

A: 68 km

B: 34 km

C: 544 km

D: 136 km

Ans: D

As per conservation of energy, energy gained by the ice during its fall from height h is given by, E = mgh,

Given, only one-quarter of its energy is absorbed by the ice.

So

A: U

B: U

C: U

D: U

Ans:

Given, temperature, T

Given that energy of radiation emitted by the body at wavelength 250 nm in U

Now, according to Wein's law, we get

where, b = Wien's constant = 2.88 x 10

Î»

Given, temperature, T

Given that energy of radiation emitted by the body at wavelength 250 nm in U1, at wavelength 500 nm is U

Now, according to Wein's law, we get

Î»

where, b = Wien's constant = 2.88 x 10

Î»

A: 4.0 J/s

B: 44.0 J/s

C: 16.8 J/s

D: 8.0 J/s

Ans:

Here, Î”T

As the rate of heat flow is directly proportional to the temperature difference and the temperature difference in both the cases is same i.e. 10^{o} C. So, the same rate of heat will flow in the second case.

Hence,

As the rate of heat flow is directly proportional to the temperature difference and the temperature difference in both the cases is same i.e. 10^{o} C. So, the same rate of heat will flow in the second case.

Hence,**Q 9. On observing light from three different stars P, Q and R, it was found that intensity of violet colour is maximum in the spectrum of P, the intensity of green colour is maximum in the spectrum of R and the intensity of red colour is maximum in the spectrum of Q. If T _{P}, T_{Q} and T_{R} are the respective absolute temperatures of P, Q and R, then it can be concluded from the above observations that: [2015]**

A: T_{P} < T_{Q} < T_{R}

B: T_{P} > T_{Q} > T_{R}

C: T_{P} > T_{R} > T_{Q}

D: T_{P} < T_{R} < T_{Q}

Solution

A: 1.20 x 10

B: 3.0 x 10

C: 1.25 x 10

D: 2.50 x 10

Ans:

**Q 11. Certain quantity of water cools from 70Â°C to 60Â°C in the first 5 minutes and to 54Â° C in the next 5 minutes. The temperature of the surroundings is [2014]A: 42Â°CB: 10Â°CC: 45Â°CD: 20Â°CAns:** C

**Q 12. Steam at 100Â°C is passed into 20 g of water at 10Â°C. When water acquires a temperature of 80Â°C, the mass of water present will be:[Take specific heat of water = 1 cal g ^{âˆ’1} Â°C^{âˆ’1} and latent heat of steam = 540 cal g^{âˆ’1}] [2014]A: 42.5 gB: 22.5 gC: 24 gD: 31.5 g Ans**: B

Solution:

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