JEE Main 2017 Physics question

PhysicsThermal Properties of MatterJEE Main 2017

In an experiment, a sphere of aluminium of mass kg is heated up to C. Immediately, it is put into water of volume cc at C kept in a calorimeter of water equivalent to kg. The final temperature of the system is C. The specific heat of the aluminium is (take Joule calorie):

Answer: (1)

Solution

The water equivalent of the calorimeter, kg, means the calorimeter absorbs the same heat as kg of water. Together with the cc ( kg) of water, the effective water mass is kg. Equating heat lost by the aluminium to heat gained by water plus calorimeter,

0.20× s×(150-40) = 0.

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Question ID VK-115772