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 mass of P is half 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
Verified Correct Answer: C.
Physical Principles & Numerical Solution
\(\theta\)p = 2\(\theta\)q
mq = 2mp
Cp X mp X \(\theta\)p = Cq x mq x \(\theta\)q
\(\frac {C_pm_q\theta q}{C_qm_p \theta q}\) = \(\frac {\theta q \times 2mp}{2 \theta qmp}\)
\(\frac {C_p}{Cq}\) = \(\frac {2}{2}\)
Source: Myschool Past Questions Archive (Record #28508)