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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.

What is the reading of the scale when the ball is fully immersed

Options:

Answer:

Solution:

The rod is held externally, so its force is not transmitted to the scale.

$F_{buoyancy} = ρ V g$

The immersed ball pushes down on the liquid by the same buoyant force.

$Δ W_{ball on liquid} = + ρ V g$

The container overflows; the removed liquid has weight:

$Δ W_{overflow} = - ρ V g$

$W_{scale} = w + ρ V g - ρ V g = w (B)$

Stream:JEESubject:PhysicsTopic:FluidSubtopic:Archimedes principle

⏱ 3mℹ️ Source: QB

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