A piece of ice falls from a height h so that it melts completely. Only one-quarter of the heat produced is absorbed by the ice and all energy of ice gets converted into heat during its fall. The value of h [Latent heat of ice is $$3.4 \times {10^5}$$ J/kg and g = 10 N/Kg]

A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250 nm is U₁, at wavelength 500 nm is U₂ and that at 1000 nm is U₃. Wien's constant, b = 2.88 $$ \times $$ 10⁶ nm K. Which of the following is correct ?

The value of coefficient of volume expansion of glycerin is 5 $$ \times $$ 10^$$-$$4 K^$$-$$1. The fractional change in the density of glycerin for a rise of 40^oC in its temperature, is

The Young's modulus of steel is twice that of brass. Two wires of same length and of same area of cross section, one of steel and another of brass are suspended from the same roof. If we want the lower ends of the wires to be at the same level, then the weights added to the steel and brass wires must be in the ratio of