A boat carrying steel balls is floating on surface of water in a tank. If balls are thrown into tank

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9-1.Fluid Mechanics

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A boat carrying steel balls is floating on the surface of water in a tank. If the balls are thrown into the tank one by one, how will it affect the level of water

A

It will remain unchanged

B

It will rise

C

It will fall

D

First it will first rise and then fall

Solution

(c) When steel balls in boat, volume of water displaced

$V_{1}=\frac{M+m}{\rho_{\omega}}$

When steel balls $\operatorname{sink}, V_{2}=\frac{M}{\rho_{\omega}}+\frac{M}{\sigma_{s}}$

$\sigma_{s}>\rho_{\omega}, V_{2} < V_{1},$ level will fall.

Standard 11

Physics

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(IIT-2002)