If terminal speed of a sphere of gold (density = 19.5 kg/m ³) is 0.2 m/s in viscous liquid (density = 1.5 kg/m ³), find the terminal speed of a sphere of silver (density = 10.5 kg/m ³) of the same size in the same liquid. (a) 0.4 m/s (b) 0.133 m/s (c) 0.1 m/s (d) 0.2 m/s

Answer: (c). Same size and liquid: v ∝ (ρ - σ). (vs)/(vg) = (10.5 - 1.5)/(19.5 - 1.5) = 9/18 = 1/2 vs = 0.2 × 1/2 = 0.1 m/s So the answer is (c) 0.1 m/s.

If terminal speed of a sphere of gold (density = 19.5 kg/m ³) is 0.2… | MHT CET 2026 (15 May, Shift 1)

Q6MHT CET 2026 · 15 MAY · SHIFT 1Medium

Terminal Velocity

If terminal speed of a sphere of gold (density = $19.5$ kg/m $^{3}$ ) is $0.2$ m/s in viscous liquid (density = $1.5$ kg/m $^{3}$ ), find the terminal speed of a sphere of silver (density = $10.5$ kg/m $^{3}$ ) of the same size in the same liquid.

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Answer: (c)

Same size and liquid: $v \propto (\rho - \sigma)$ .
$\dfrac{v_s}{v_g} = \dfrac{10.5 - 1.5}{19.5 - 1.5} = \dfrac{9}{18} = \dfrac{1}{2}$
$v_s = 0.2 \times \frac{1}{2} = 0.1$ m/s
So the answer is (c) $0.1$ m/s.

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Terminal Velocity question from MHT CET 2026 (15 May, Shift 1)

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