When two objects P and Q are supplied with the same quantity of heat, the...

JAMB 1986

When two objects P and Q are supplied with the same quantity of heat, the temperature change in P is observed to be twice that of Q. The ratio of the specific heat capacity of P to Q is

A. 1 : 4
B. 4 : 1
C. 1 : 1
D. 2 : 1

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Correct Answer: Option C

Explanation

\(\theta\)_p = 2\(\theta\)q

mq = 2mp

C_p X mp X \(\theta\)p = C_q x mq x \(\theta\)_q

\(\frac {C_pm_q\theta q}{C_qm_p \theta q}\) = \(\frac {\theta q \times 2mp}{2 \theta qmp}\)

\(\frac {C_p}{Cq}\) = \(\frac {2}{2}\)

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