Verified Solution • 2025–26 Session moderate

QJEEM22Ph2542: JEE Main 2022 Physics - Class 11 JEEM22Ph2542 Solution: A 100 g of iron nail is hit by a 1.5 kg hammer striking at a…

A 100 g of iron nail is hit by a 1.5 kg hammer striking at a velocity of 60 ms −- 1. What will be the rise in the temperature of the nail if one fourth of energy of the hammer goes into heating the nail?

[Specific heat capacity of iron = 0.42 Jg −- 1 ∘^\circ C −- 1]

Multiple Choice Options

  • A 675 ∘^\circ C
  • B 1600 ∘^\circ C
  • C 16.07 ∘^\circ C
  • D 6.75 ∘^\circ C

Step-by-Step Verified Solution

12×1.5×602×14=100×0.42×ΔT{1 \over 2} \times 1.5 \times {60^2} \times {1 \over 4} = 100 \times 0.42 \times \Delta T

ΔT=1.5×6028×100×0.42=16.07∘C\Delta T = {{1.5 \times {{60}^2}} \over {8 \times 100 \times 0.42}} = 16.07^\circ C

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