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Two Metallic Blocks P and Q of Masses in Ratio 2 : 1 Are Given Same Amount of Heat. If Their Temperature Rise by Same Amount, Compare Their Specific Heat Capacities.

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Question

Two metallic blocks P and Q of masses in ratio 2: 1 are given the same amount of heat. If their temperature rise by the same amount, compare their specific heat capacities.

Numerical
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Solution

Let CP and Cq be the specific heat capacities of blocks P and Q respectively,
We know that,

`Q/(m xx Δt)`

`∴ (C_p/C_q) = ((Q / (2m xxΔt))/(Q / (m xx ΔT)) ) = 1/2`

Hence, the required ratio is 1: 2.

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