Question on: JAMB Physics - 2017
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 pf P to Q is
A
1:4
B
4:1
C
1:1
D
2:1
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Correct Option: C
H = mcθ
HP = HQ, θP = 2θ,
mP = (\frac{1}{2})mQ
∴ HP = mQCPθP, also HQ = mQCQθQ
Since HP = HQ
∴ mPcPθP = mQcPθq
Putting in the conditions
(\frac{1}{2})mQ × cP × 2θQ = mQ × θQ × cQ
∴ cP = cQ
(\frac{C_p}{C_Q})= (\frac{1}{1})
= 1:1
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