A 2 g bullet moving with a velocity of 200 m/s is brought to. a sudden stoppage by an obstacle. The total heat produced goes to the bullet. If the specific heat of the bullet is 0.03 cal/g-oC, the rise in its temperature will be
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a
158.0∘C
b
15.80∘C
c
1.58∘C
d
0.1580∘C
answer is A.
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Detailed Solution
The kinetic energy of the bullet will be utilized to melt the bullet12mv2=(msΔθ)J12×2×10−3×(200)2=2×0.03×Δθ×4.2Δθ=158∘C