One kilogram of ice at $0°$C is mixed with one kilogram of water at 80$°C$. The final temperature of the mixture is (Take: Specific heat of water = 4200 J $k{g}^{-1}{C}^{-1}$, Latent heat of ice = 336 kJ $k{g}^{-1}$)

1. $0°$C
2. $50°C$
3. $40°C$
4. $60°C$

The fastest mode of heat transfer is 

1.  Conduction

2.  Radiation

3.  Convection

4.  all are  equally fast

A temperature of $100^{\circ}\text {F}$ (Fahrenheit scale) is equal to $T~\text{K}$ (Kelvin scale). The value of $T$ is:
1. $310.9$
2. $37.8$
3. $100$
4. $122.4$

A body cools down from $80^{\circ}\mathrm{C}$ $\mathrm{to}$ $70^{\circ}\mathrm{C}$ in 5 minutes. The temperature of the same body will fall from $70^{\circ}\mathrm{C}$ $\mathrm{to}$ $60^{\circ}\mathrm{C}$ in:

If $\lambda_m$ is the wavelength, corresponding to which the radiant intensity of a block is at its maximum and its absolute temperature is $T,$ then which of the following graphs correctly represents the variation of $T?$

1.		2.
3.		4.

Heat capacity is equal to the product of:

1.  mass and gas constant

2.  mass and specific heat

3.  latent heat and volume of water

4.  mass and Avogadro number

When a block of iron floats in Hg at $0°C$, a fraction $K_1$ of its volumen= is submerged, while at temperature of $60°C$ a fraction $K_2$ is seen to be submersed. If the coefficient of volume expansion of iron is ${\gamma }_{Fe}$ and that of mercury is ${\gamma }_{Hg}$, then the ratio $\frac{K_1}{K_2}$ can be expressed as:

1. $\frac{1+60{\gamma }_{Fe}}{1+60{\gamma }_{Hg}}$

2. $\frac{1-60{\gamma }_{Fe}}{1+60{\gamma }_{Hg}}$

3. $\frac{1+60{\gamma }_{Fe}}{1-60{\gamma }_{Hg}}$

4. $\frac{1+60{\gamma }_{He}}{1-60{\gamma }_{Fe}}$

Hot water cools from 60$°\mathrm{C}$ to 50$°\mathrm{C}$ in first 10 minutes and from 50$°\mathrm{C}$ to 42$°\mathrm{C}$ in next 10 minutes. The temperature of surrounding is :

1.  $5° \mathrm{C}$

2.  $10° \mathrm{C}$

3.  $15° \mathrm{C}$

4.  $20°\mathrm{C}$

A pendulum clock runs faster by $5$ s per day at $20^{\circ}\mathrm {C}$ and goes slow by $10$ s per day at $35^{\circ}\mathrm {C}$. It shows the correct time at a temperature of:
1. $27.5^{\circ}\mathrm {C}$
2. $25^{\circ}\mathrm {C}$
3. $30^{\circ}\mathrm {C}$
4. $33^{\circ}\mathrm {C}$