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Question: Answered & Verified by Expert
A bullet of mass 5 gram, travelling with a speed of 210 m s-1 strikes a fixed wooden target. One half of its kinetic energy is converted into heat in the wood. The rise of temperature of the bullet if the specific heat of its material is  0.030 gram °C-1 1 calorie=4.2×107 ergs close to :
PhysicsKinetic Theory of GasesJEE MainJEE Main 2020 (05 Sep Shift 1)
Options:
  • A 87.5°C
  • B 83.3°C
  • C 119.2°C
  • D 38.4°C
Solution:
2942 Upvotes Verified Answer
The correct answer is: 87.5°C

As per given condition Half of kinetic energy is transferred into heat energy and raises the temperature of bullet

12×12mv2=msΔT

Δt=V24s

=210×2104×4.2×0.3×1000=87.5°C

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