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A hemispherical bowl just floats without...

A hemispherical bowl just floats without sinking in a liquid of density `1.2xx10^(3)kg//m^(3)`. If outer diameter and the density of the bowl are `1m` and `2 xx 10^(4) kg//m^(3)` respectively, then the inner diameter of bowl will be

A

1.91 m

B

0.5m

C

0.98 m

D

1.75 m

Text Solution

Verified by Experts

The correct Answer is:
C
Let .d. be the inner diameter. Weight of displaced liquid = weight of the body `m^(1)g=mg`
Vol. of displaced. Liquid x density of liquid = Vol. of the body x density of the body
`(4pi)/(3)((1)/(2))^(3)xx1.2xx10^(3)=(4pi)/(3)[((1)/(2))^(3)-((d)/(2))^(3)]xx2xx10^(4)`
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