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A cylinderical 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 wall ball which would float on the liquid if allowed to do so, of volume V and mass m is pushed gently down and held beneath the surface of the liquid with a rigid rod of negligible volume as shown on the left
Q. if instead of being pushed down by a rod, the ball is held in place by a thin string attached to the bottom of the container as shown on the right what is the tension T is the string?
(a). `(rhoV-m)g`
(b). `rhoVg`
(c). `mg`
(d). none of these

Text Solution

Verified by Experts

The correct Answer is:
A

`F=T+mgimpliesVrhog=T+mgthereforeT=(Vrho-m)g`
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