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Two blocks of copper, A and B each receive the same amount of energy W .The temperature rise of A is half the temperature rise of B. Which statement about A and B is correct?

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The specific heat capacity of A is half the specific heat capacity of B.

The specific heat capacity of A is twice the specific heat capacity of B

The heat capacity of A is twice the heat capacity of B.

The heat capacity of A is half the heat capacity of B.

answer is B.

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Detailed Solution

Let C_A and C_B are the heat capacities and S_A and S_B are the specific heat capacities of A and B, respectively

${m_A} = 2{m_B}\,\,and\,\,\vartriangle {T_A} = \frac{{\vartriangle {T_B}}}{2}\$

Energy supplied to A= Energy supplied to B

$So,\,\,{m_A}{s_A}\vartriangle {T_A} = {m_B}{s_B}\vartriangle {T_B} \Rightarrow {s_A} = {s_B}\$

${C_A} \times \vartriangle {T_A} = {C_B} \times \vartriangle {T_B} \Rightarrow {C_A} = 2{C_B}\$

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