MHT CET202410 May 2024Morning ShiftPhysicsThermodynamicsActual
A lead bullet moving with velocity ' V ' strikes a wall and stops. If 75 % of its energy is converted into heat, then the increase in temperature is ( s = specific heat of lead, J = mechanical equivalent of heat)
Options
- A3 ~V ^2 8 Js
- B5 ~V ^2 8 Js
- C3 ~V ^2 4 Js
- D5 ~V ^2 4 Js
Correct answer
A. 3 ~V ^2 8 Js
Step-by-step solution
K.E. = 1 2 MV ^2 As 75 % of the kinetic energy is converted to heat, Heat energy, W= 3 4 1 2 MV ^2= 3 8 MV ^2 aligned & J = W Q = change in KE Heat energy & J = 3 8 MV ^2 ~T M s & ~T = 3 ~V ^2 8 Js aligned