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A hollow sphere of external radius R and...

A hollow sphere of external radius R and thickness t (< < R) is made of a metal of density `rho`. The sphere will float in water if

A

`t le R/rho`

B

`t le (R)/(3rho)`

C

`t le (R)/(2rho)`

D

`t ge (R)/(2 rho)`

Text Solution

Verified by Experts

The correct Answer is:
B

As law of flotation
`(4pi R^2 t)rho le 4/3 pi R^3 implies t le (R)/(3rho)`
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