The value of the coefficient of volume expansion of glycerine is \(5\times10^{-4} \mathrm{~K^{-1}}\). The fractional change in the density of glycerine for a rise of \(40^\circ \text{C}\) in its temperature is:$\mathrm{}$
1. \(0.015\)
2. \(0.020\)
3. \(0.025\)
4. \(0.010\)

On observing light from three different stars \(P\), \(Q\), and \(R\), it was found that the intensity of the violet colour is maximum in the spectrum of \(P\), the intensity of the green colour is maximum in the spectrum of \(R\) and the intensity of the 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:
1. \(T_P>T_Q>T_R\)
2. \(T_P>T_R>T_Q\)
3. \(T_P<T_R<T_Q\)
4. \(T_P<T_Q<T_R\)

The two ends of a metal rod are maintained at temperatures \(100^\circ~ \text{C}\) and \(110^\circ~ \text{C}.\) The rate of heat flow in the rod is found to be \(4.0\) J/s. If the ends are maintained at temperatures \(200^\circ~ \text{C}\) and \(210^\circ~ \text{C},\) the rate of heat flow will be:
1. \(44.0\) J/s
2. \(16.8\) J/s
3. \(8.0\) J/s
4. \(4.0\) J/s

Steam at 100 ⁰C is passed into 20g of water at 10 ⁰C. When water acquires a temperature of 80 ⁰C, the mass of water present will be: 
[ Take specific heat of water = 1 cal g^{–1 0}C^–1 and latent heat of steam = 540 cal g^–1]

1. 24 g

2. 31.5 g

3. 42.5 g

4. 22.5 g

A certain quantity of water cools from 70 ⁰C to 60 ⁰C in the first 5 minutes and to 54 ⁰C in the next 5 minutes. The temperature of the surroundings is:

1. 45^oC

2. 20^oC

3. 42^oC

4. 10^oC

If the radius of a star is R and it acts as a black body, what would be the temperature of the star at which the rate of energy production is Q?

1. $Q/4{\mathrm{\pi R}}^2\mathrm{\sigma }$

2. $(Q/4{\mathrm{\pi R}}^2\mathrm{\sigma }{)}^{\frac{-1}{2}}$

3. ${(4{\mathrm{\pi R}}^{2}Q/\mathrm{\sigma })}^{\frac{1}{4}}$

4. $(Q/4{\mathrm{\pi R}}^2\mathrm{\sigma }{)}^{\frac{1}{4}}$

Liquid oxygen at 50 K is heated up to 300 K at a constant pressure of 1 atm. The rate of heating is constant. Which one of the following graphs represents the variation of temperature with time?

1.		2.
3.		4.