A wooden ice box contains ice at `0^@` C . The inner dimensions of the box are `80cm xx 60cm xx 40cm` and the wood is 4cm thick. Find the rate at which ice would melt if the surrounding temperature is `32^@C` .

The ice in a cold storage melts at 3kg//hr . Find the minimum power output of the motor used to drive the refrigerator which prevents the ice from melting if the surrounding temperature is 27^@C .

The side of a sqart is increasing at the rate of 0.1 cm//sec and at the same time the area is increasing at the rate of 30 sq. cm//sec . Find the length of side of the square.

A brass scale is correct at 20^@C . The length of a rod measured by it at 35^@C is 60 cm . What is the correct length of rod at that temperature ? ( alpha of brass = 18.9 xx 10^(-6) per^@C) .

A metal sphere 10.01 cm in diameter is placed on a brass ring of internal diameter 10 cm at the same temperature of 12^@C . Find the temperature to which they should be heated together so that the metal sphere just passes through the ring . alpha_"metal" = 12 xx 10^(-6)//^@C and alpha_"brass" = 18 xx 10^(-6)//^@C

A block of ice at 0^@C is dropped from a height and melts completely on reaching the ground.assuming no loss of energy on the way to ground , Find the height from which it is dropped .

Metal slab is made up of two parallel side plates of metal A and metal B of thickness 0.6 cm and 0.4 cm respectively. Their respective thermal conductivities are 2.268 and 1.008 SI unit. The outer surface of the plate A is at 220^@ and that of plate B at 20^@ . Find the temperature of the interface .

When one end f the copper rod 30 cm long and 8 mm in diameter is kept in boiling water at 100^@ C and the other end is kept in ice, it is found that 1.2 gm of ice melts per minute. What is the thermal conductivity of the rod ?

If a cylinder of diameter of 1 cm at 30^@C is fitted into a hole of diameter 0.9997 cm in a steel plate, find the temperature the fitting has to be done ? Co.eff.of linear expansion of steal is 12 xx 10^(-6)//^@ C

An infinite line charge produces a field of 9 xx 10^4 N/c at a distance of 2 cm. Calculate the linear charge density.