Home Physics Fluid Mechanics Pascal's Law and Archmidies Principle A hemispherical bowl just floats without sin…
Physics Fluid Mechanics Pascal's Law and Archmidies Principle MCQ (Single Correct)

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

A
0.94 m
B
0.97 m
C
0.98 m
D
0.99 m

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Text Solution

Verified by Experts
The correct answer is:
C

Weight of the bowl = mg

=

where D = Outer diameter,

d = Inner diameter

= Density of bowl

Weight of the liquid displaced by the bowl

where is the density of the liquid.

For the flotation

⇒ ⇒

By solving we get d = 0.98 m.

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