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
Correct Answer:
Option C = 1:1
Explanation
H = mcθ
Hp = HQ, θp = 2θ,
mP = ½ mQ
∴ Hp = mQCpθp, also HQ = mQCQθQ
Since Hp = HQ
∴ mpcpθp = mQcpθq
Putting in the conditions
½mQ × cp × 2θQ = mQ × θQ × cQ
∴ cp = cQ
Cp/CQ= 1/1
= 1:1
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