Properties Of Solids And Liquids Question 233

Question: A streamlined body falls through air from a height hon the surface of a liquid. If d and D(D > d) represents the densities of the material of the body and liquid respectively, then the time after which the body will be instantaneously at rest, is

Options:

A) 9 minute

B) 7 minute

C) 5 minute

D)3 minute

Show Answer

Answer:

Correct Answer: B

Solution:

Time taken to be emptied for h height, $ t=\sqrt{\frac{2h}{g}} $

and for $ \frac{h}{2} $ height, $ t’=\sqrt{\frac{2h/2}{g}}=\sqrt{\frac{h}{g}} $

$ \frac{t’}{t}=\frac{1}{\sqrt{2}}\Rightarrow t’=\frac{t}{\sqrt{2}}=\frac{10}{\sqrt{2}}=7\ minute $



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