Physics - Fluid Question with Solution | TestHub

PhysicsFluidArchimedes principleMedium3 minQB

PhysicsMediumsingle choice

Passage / Comprehension

A cylindrical container of length $L$ is full to the brim with a liquid of mass density $ρ$ . It stands on a weight scale reading $w$ .
A light ball of volume $V$ and mass $m$ would float if released. It is gently pushed under the surface and held by a rigid rod of negligible volume, as shown at left. The alternative string arrangement is shown at right.

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 in the string?

Options:

Answer:

Solution:

For the submerged ball, buoyancy acts upward; its weight and string tension act downward.
$ρ V g = m g + T$
$T = (ρ V - m) g$
Thus option A is correct.

Stream:JEESubject:PhysicsTopic:FluidSubtopic:Archimedes principle

⏱ 3mℹ️ Source: QB

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