A small metal sphere is falling through a viscous liquid. The… | MHT CET 2026 (20 Apr, Shift 2)

Q5MHT CET 2026 · 20 APR · SHIFT 2Easy

Terminal Velocity

A small metal sphere is falling through a viscous liquid. The variation of velocity ( $V$ ) with time ( $t$ ) is shown correctly in graph

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Answer: (c)

At release $v = 0$ , so the graph must start from the origin.
Viscous force $6\pi\eta r v$ grows with $v$ , so acceleration keeps decreasing: the curve rises with falling slope.
When weight = buoyancy + viscous force, $v$ becomes constant (terminal velocity): the curve flattens.
This is graph (d), so the answer is option (c).

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