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Q.

A solid sphere and a hollow sphere of same material have same mass. When they are heated by 50°C, increase in volume of solid sphere is 5 c.c. The expansion of hollow sphere is

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a

None

b

5 c.c.

c

more than 5 c.c.

d

Less than 5 c.c.

answer is B.

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Detailed Solution

Volume V =4π3r3

Also due to a rise in temperature Δt , final radius rt =r0 (1+αΔt)

Since the spheres have same mass and they are made of same material , the hollow sphere has larger radius. Hence its expansion will be more.

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