A sphere, a cube and a thin circular plate, all of same material and same mass, are initially heated to same high temperature. Choose the correct statement.

The plate will cool fastest and cube the slowest

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The sphere will cool faster and cube and the slowest

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The plate will cool faster and sphere the slowest

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The cube will cool fastest and plate the slowest.

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Solution

The correct option is D The plate will cool faster and sphere the slowest
The surface area of the sphere is less than the surface area of the cube for the given same mass and the same density.
The rate of cooling is proportional to the area of contact with the surroundings. So, the plate will cool faster than the sphere.
option (A) is correct.

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