Kinetic Theory ...

The average thermal energy for a mono-atomic gas is : ($$K_{B}$$ is Boltzmann constant and $$T$$ is absolute temperature)

A 0.1kg steel ball falls from a height of 10m and bounces to a height of 7m. The rise in temperature of the ball is:

A bullet travelling at 100 $$ms^{-1}$$ suddenly hits a concrete wall. If its K.E. is converted completely into heat, the raise in temperature is $$\left ( s=100Jkg^{-1}K^{-1} \right )$$ :

2kg of Ice block should be dropped from ‘x km’ height to melt completely. The 8 kg of ice block should be dropped from height

From which height a block of ice must be dropped in order that it melts completely. Assume that all the energy is retained by the ice .
($$g=10ms^{-2}$$, $$L=80Jgm^{-1}$$and J $$=$$ 4.2 J/cal)

A piece of lead falls from a height of 100m on a fixed non-conducting slab which brings it to rest. The temperature of the lead piece immediately after collision increases by (Sp.heat of lead is 30.6cal/kg/$$^{0}C$$ and $$g=9.8m/sec^{2}.$$)

A closed vessel contains some gas at a given temperature and pressure. If the vessel is given a very high velocity, the temperature of the gas

Two metal balls of same material having masses 50gm and 100gm collides with a target with same velocity. Then the ratio of their rise in temperature is

A bullet of mass $$10\times 10^{-3}\ kg$$ moving with a speed of $$20 ms^{-1}$$ hits an ice block $$(0^{o}c)$$ of $$990\ g$$  kept at rest on a frictionless floor and gets embedded in it. If ice takes $$50\%$$ of $$K.E$$, for melting, then the mass of the ice block that has melted is($$J=4.2 J/Cal$$) (Latent heat of ice $$=80\ cal/g$$)

The height of water fall is 210 m assuming that the surface on which the water is falling is perfectly insulated and all the kinetic energy of water is dissipated as heat. Find the rise in temperature of the water :