At `30^(@)`C, a lead bullet of 50 g, is fired verticaly upwards with a speed of 840 m/s. The specific heat of leasd is 0.02 cal/`g^(@)`C. On returning to the starting level, it strikes to a cake of ice at `0^(@)`C. Calcualte the amount of ice melted (Assume all the energy is spent in melting only)

Options

A. 62.7 g
B. 55g
C. 52.875 g
D. 52.875 g

Explanation

d) For an adiabatic process,
`T_(1)V_(1)^(y-1) = T_(2)V_(2)^(y-1)`
or `T_(1)L_(1)^(y-1) = T_(2)L_(2)^(y-1)` (`therefore` A=constant)
or `T_(1)/T_(2)=(L_(2)/L_(1))^(y-1)`
`therefore` `y=5/4` for an monoatomic gas,
`therefore` `y-1