Two bodies of different materials but of equal mass are heated at uniform rate under identical conditions from 00 C. One body melts at 600 C after heating for 2 minutes while the other melts at 400C after heating for 4 minutes. The ratio of their specific heats is :

If K is the heat supplied per minute, Where s1 is the specific heat of the first material. s2 is the specific heat of the second material

Two bodies of different materials but of equal mass are heated at uniform rate under identical conditions from 00 C. One body melts at 600 C after heating for 2 minutes while the other melts at 400C after heating for 4 minutes. The ratio of their specific heats is :

If K is the heat supplied per minute, Where s1 is the specific heat of the first material. s2 is the specific heat of the second material

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Two bodies of different materials but of equal mass are heated at uniform rate under identical conditions from 0⁰ C. One body melts at 60⁰C after heating for 2 minutes while the other melts at 40⁰C after heating for 4 minutes. The ratio of their specific heats is :

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1 : 5

1 : 3

1 : 4

1 : 2

answer is B.

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Detailed Solution

If K is the heat supplied per minute,

$2k = m{s_1} \times 60,$ Where s₁ is the specific heat of the first material.

$4k = m{s_2} \times 40,$ s₂ is the specific heat of the second material

$\frac{{2k}}{{4k}} = \frac{{m{s_1} \times \,60}}{{m \times {s_2} \times 40}}$

$\frac{{{s_1}}}{{{s_2}}} = \frac{1}{3}$

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Two bodies of different materials but of equal mass are heated at uniform rate under identical conditions from 00 C. One body melts at 600 C after heating for 2 minutes while the other melts at 400C after heating for 4 minutes. The ratio of their specific heats is :

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Two bodies of different materials but of equal mass are heated at uniform rate under identical conditions from 0⁰ C. One body melts at 60⁰C after heating for 2 minutes while the other melts at 40⁰C after heating for 4 minutes. The ratio of their specific heats is :