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A stream-lined body falls through air fr...

A stream-lined body falls through air from a height `h` on the surface of a liquid . Let `d` and `D` denote the densities of the materials of the body and the liquid respectively, if `D gt d`, then the time after which the body will be intantaneously at rest, is:

A

`sqrt((2h)/(g))`

B

`sqrt((2h)/(g) . D/d)`

C

`sqrt((2h)/(g) . d/D)`

D

`sqrt((2h)/(g))((d)/(D-d))`

Text Solution

Verified by Experts

The correct Answer is:
D
Apparent weight = VDg-Vdg
`implies` Vda = VDg-Vdg
`a=((D-d)/(d))g" "rarr` Retardation
`v=sqrt(2gh)`
`implies` Time to rest `v/a=(sqrt(2gh) xx d)/((D-d)g), t=sqrt((2h)/(g))((d)/(D-d))`
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