The speed of a ball of radius 2 cm in a viscous liquid is 20 cm/s. What will be the speed of a ball of radius 1 cm in same liquid? (a) 10 cm/s (b) 4 cm/s (c) 5 cm/s (d) 8 cm/s

Answer: (c). Terminal speed v ∝ r² for the same material and liquid. v₂ = 20(1/2)² = 5 cm/s So the answer is (c) 5 cm/s.

The speed of a ball of radius 2 cm in a viscous liquid is 20 cm/s… | MHT CET 2021 (23 Sep, Shift 1)

Q43MHT CET 2021 · 23 SEP · SHIFT 1Easy

Terminal Velocity

The speed of a ball of radius $2\text{ cm}$ in a viscous liquid is $20\text{ cm/s}$ . What will be the speed of a ball of radius $1\text{ cm}$ in same liquid?

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Answer: (c)

Terminal speed $v \propto r^2$ for the same material and liquid.
$v_2 = 20\left(\frac{1}{2}\right)^2 = 5$ cm/s
So the answer is (c) 5 cm/s.

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Terminal Velocity question from MHT CET 2021 (23 Sep, Shift 1)

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