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JEE Main & Advanced Physics Thermometry, Calorimetry & Thermal Expansion Question Bank Topic Test - Thermometry, Thermal Expansion and Calorimetry (3-5-21)

  • question_answer
    A hammer of mass 1kg having speed of 50 m/s, hit a iron nail of mass 200 gm. If specific heat of iron is 0.105 cal/gm\[{}^\circ C\] and half the energy is converted into heat, the raise in temperature of nail is         

    A) \[7.1{}^\circ C\]

    B) \[9.2{}^\circ C\]

    C) \[10.5{}^\circ C\]

    D) \[12.1{}^\circ C\]

    Correct Answer: A

    Solution :

                   \[W=JQ\] \[\Rightarrow \] \[\frac{1}{2}\left( \frac{1}{2}M{{v}^{2}} \right)=J(m.c.\Delta \theta )\] \[\Rightarrow \] \[\frac{1}{4}\times 1\times {{(50)}^{2}}=4.2[200\times 0.105\times \Delta \theta ]\] \[\Rightarrow \] \[\Delta \theta =7.1{}^\circ C\]


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