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Question: Answered & Verified by Expert
A rubber ball be taken in a deep sea so that its volume is decreased by $x \%$. The
bulk modulus of rubber is 'K' and density of sea water is ' $\varrho$ '. The depth to whích a rubber ball is taken is proportional to $(\mathrm{g}=$ acceleration due to gravity)
PhysicsMechanical Properties of SolidsMHT CETMHT CET 2020 (15 Oct Shift 1)
Options:
  • A $\frac{\text { ex }}{\mathrm{Kg}}$
  • B $\frac{\mathrm{Kx}}{\mathrm{eg}}$
  • C $\frac{\mathrm{eg}}{\mathrm{Kx}}$
  • D $\frac{\mathrm{Q}}{\mathrm{Kxg}}$
Solution:
1376 Upvotes Verified Answer
The correct answer is: $\frac{\mathrm{Kx}}{\mathrm{eg}}$
$B=-\frac{\Delta p}{\Delta v / v}$
$\frac{\Delta v}{v}=\frac{x}{100}...(1)$
$\Delta p=\rho g h$
$\frac{\rho g h}{x / 100}$
$h \propto \frac{k x}{\rho g}$

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