Properties Of Solids And Liquids Question 244

Question: A streamlined body falls through air from a height h on 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) 2hg

B) 2hg.Dd

C) 2hg.dD

D) 2hg(dDd)

Show Answer

Answer:

Correct Answer: D

Solution:

[d] Upthrust-weight of body=apparent weight  VDgVdg=Vda,

Where a=retardation of body a=(Ddd)g

The velocity gained after fall from h height in air, v=2gh

Hence, time to come in rest. t=va=2gh×d(Dd)g=2hg×d(Dd)



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