WBJEE · Physics · Mechanical Properties of Fluids
A stone of relative density \(\mathrm{K}\) is released from rest on the surface of a lake. If viscous effects are ignored, the stone sinks in water with an acceleration of
- A \(\mathrm{g}(1-\mathrm{K})\)
- B \(\mathrm{g}(1+\mathrm{K})\)
- C \(\mathrm{g}\left(1-\frac{1}{\mathrm{~K}}\right)\)
- D \(\mathrm{g}\left(1+\frac{1}{\mathrm{~K}}\right)\)
Answer & Solution
Correct Answer
(C) \(\mathrm{g}\left(1-\frac{1}{\mathrm{~K}}\right)\)
Step-by-step Solution
Detailed explanation
Hints: \(\begin{aligned} & F=v \sigma g-v \rho g=v \sigma g\left(1-\frac{\rho}{\sigma}\right)=m g\left(1-\frac{1}{\mathrm{k}}\right) \\ & a=g\left(1-\frac{1}{\mathrm{k}}\right) \end{aligned}\)
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