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Q.

Two bodies A and B are kept in thermal contact. Heat capacity of A increases with temperature and is initially at 100°C while temperature of B is initially at 0°C. Then the final common temperature is

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a

50°C

b

<500C but >00C

c

0°C

d

>50°C

answer is C.

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Detailed Solution

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Here body A is hotter and body B is colder. So body A loses heat and body B gains heat. In this process, thermal capacity of body A deceases. So, we can say average thermal capacity of body A is lesser than that of body B.

By principle of calorimetry,

mAcAavgθA=mBcBθB

Since mAcAavg<mBcB, therefore, θA>θB

Body A loses more temperature than what body B gains. So, final common temperature is <500C but >00C

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Two bodies A and B are kept in thermal contact. Heat capacity of A increases with temperature and is initially at 100°C while temperature of B is initially at 0°C. Then the final common temperature is