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A body of weight W and density rho float...

A body of weight W and density `rho` floats on liquid . What will its apparent weight ?

A

`W(rho-rho_(1))`

B

`(rho-rho_(1))/(W)`

C

`W(rho_(1)-rho)`

D

`W(1-(rho_(1))/(rho))`

Text Solution

Verified by Experts

The correct Answer is:
d

Apparent weight ={Weight of body in air}-{upward force on body}
`=W-m_(1)g`
`=rhoV_(g)-rho_(1)Vg" " (becauseW=rhoVgandm_(1)=rho_(1)V)`
`=rhoVg(1-(rho_(1))/(rho))`
`=W(1-(rho_(1))/(rho))`
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