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Q.

A small body with relative density d1 falls in air from a height 'h' on to the surface of liquid of relative density d2 where d2>d1. The time elapsed after entering the liquid to the instant when it comes to instantaneous rest inside liquid:

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a

2h g d 2 d 1  

b

2h g d 1 ∣ d 2  

c

2h g d 1 d 2 −d1  

d

2h g d 2 − d 1 d 1    

answer is B.

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Detailed Solution

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The speed with which the body enters water is  u= 2gh 

Retardation is given by  vd1=αvd2g−vd1g

α=−d2−d1d1g 

Using the equation of motion

0=2gh−d2−d1d1gt
t= 2h g d 1 d 2 − d 1   

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