Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is held at a temperature of $100^{\circ} C$, while the other one is kept at $0^{\circ} C$. If the two are brought into contact, then assuming no heat loss to the environment, the final temperature that they will reach is
$50^{\circ} C$
more than $50^{\circ} C$
less than $50^{\circ} C$
$0^{\circ} C$
Explain why :
$(a)$ a body with large reflectivity is a poor emitter
$(b)$ a brass tumbler feels much colder than a wooden tray on a chilly day
$(c)$ an optical pyrometer (for measuring high temperatures) calibrated for an ideal black body radiation gives too low a value for the temperature of a red hot iron piece in the open, but gives a correct value for the temperature when the same piece is in the furnace
$(d)$ the earth without its atmosphere would be inhospitably cold
$(e)$ heating systems based on circulation of steam are more efficient in warming a building than those based on circulation of hot water
Liquid oxygen at $50\ K$ is heated to $300\ K$ at constant pressure of $1\ atm$. The rate of heating is constant. Which of the following graphs represents the variation of temperature with time ?
A block of ice at $-20\,^oC$ having a mass of $2\,kg$ is added to a $3\,kg$ water at $15\,^oC$. Neglecting heat losses and the heat capacity of the container
Steam at $100\,^oC$ is passed into $22\,g$ of water at $20\,^oC$ The mass of water that will be present when the water acquires a temperature of $90\,^oC$ (Latent heat of steam is $540\,cal/g$) is ......... $\mathrm{g}$
A beaker contains $200\,g$ of water. The heat capacity of the beaker is equal to that of $20\,g$ of water. The initial temperature of water in the beaker is $20\,^oC$. If $440\,g$ of hot water at $92\,^oC$ is poured in it, the final temperature (neglecting radiation loss) will be nearest to ........ $^oC$