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A cylindrical container of length L is f...

A cylindrical container of length `L` is full to the brim with a liquid which has mass density `rho`.it is placed on a weight -scale, the scale reading is `W`. A light ball of volume `V` and mass `m` which wold float on the liquid, if allowed to do so, is pushed gently downand held beneath the surface of the liquid with a rigid rod of negligible volume as shwon on the left.
What is the reading of the scale when the ball is fully immersed?
If instead of being pushed down by the rod, the ball is held in place by a thin string attached to the bottom of the containier as shown on the right.

A

`rhogV`

B

`m`

C

`mrho-V`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Volume of the liquid that will flow out is equal to volume of the ball. So mass of the liquid that will overflow is
`M=`volume overflow`xx`density of liquid
`implies M=rhoV`
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