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9.1 , fluid mechanics — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics9.1 , fluid mechanics1 Mark
MCQ
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
  • ✓
    It will fall
  • D
    First it will first rise and then fall
✓

Answer

Correct option: C.
It will fall
c
(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.

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