A hollow sphere of radius $R$ , a hollow cube of side $R$ and thin circular plate of radius $R$ made up of the same material, are all heated to $20^{\circ} C$ above room temperature. When left to cool in the room, which of them will reach the room temperature first?

Circular plate

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Cube

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Sphere

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All of them will reach the room temperature at the same time

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Solution

The correct option is D Sphere
For the certain given radius $R$ , sphere has the larges surface area. Since, heat radiated by a body is directly proportional to the surface area of the body, so sphere cools at faster rate than circular plate and cube.

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A hollow sphere of radius R, a hollow cube of side R and thin circular plate of radius R made up of the same material, are all heated to 20∘C above room temperature. When left to cool in the room, which of them will reach the room temperature first?

The correct option is D SphereFor the certain given radius R, sphere has the larges surface area. Since, heat radiated by a body is directly proportional to the surface area of the body, so sphere cools at faster rate than circular plate and cube.

A hollow sphere of radius $R$ , a hollow cube of side $R$ and thin circular plate of radius $R$ made up of the same material, are all heated to $20^{\circ} C$ above room temperature. When left to cool in the room, which of them will reach the room temperature first?

The correct option is D Sphere
For the certain given radius $R$ , sphere has the larges surface area. Since, heat radiated by a body is directly proportional to the surface area of the body, so sphere cools at faster rate than circular plate and cube.