The terminal velocity of a metallic ball of radius 6mm in a viscous fluid is 20cm/s. The terminal velocity of another ball of same material and having radius 3?mm, in the same fluid will be __

Question

The terminal velocity of a metallic ball of radius 6 mm in a viscous fluid is 20 cm/s. The terminal velocity of another ball of same material and having radius 3 mm, in the same fluid will be ______ cm/s. [2026]

Smart Achievers · Accepted Answer

(5)

$We know:$

$Terminal velocity \propto {(radius)}^{2}$

$\frac{{(v_{T})}_{1}}{{(v_{T})}_{2}} = {(\frac{6}{3})}^{2}$

${(v_{T})}_{2} = \frac{{(v_{T})}_{1}}{4} = 5 cm/sec$

Solution

Q.
The terminal velocity of a metallic ball of radius 6 mm in a viscous fluid is 20 cm/s. The terminal velocity of another ball of same material and having radius 3 mm, in the same fluid will be ______ cm/s. [2026]

Ans.
(5)

$We know:$

$Terminal velocity \propto {(radius)}^{2}$

$\frac{{(v_{T})}_{1}}{{(v_{T})}_{2}} = {(\frac{6}{3})}^{2}$

${(v_{T})}_{2} = \frac{{(v_{T})}_{1}}{4} = 5 cm/sec$

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Solution

Q. The terminal velocity of a metallic ball of radius 6 mm in a viscous fluid is 20 cm/s. The terminal velocity of another ball of same material and having radius 3 mm, in the same fluid will be ______ cm/s. [2026]

Ans. (5) We know: Terminal velocity∝(radius)2 (vT)1(vT)2=(63)2 (vT)2=(vT)14=5 cm/sec

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Q.
The terminal velocity of a metallic ball of radius 6 mm in a viscous fluid is 20 cm/s. The terminal velocity of another ball of same material and having radius 3 mm, in the same fluid will be ______ cm/s. [2026]

Ans.
(5)

$We know:$

$Terminal velocity \propto {(radius)}^{2}$

$\frac{{(v_{T})}_{1}}{{(v_{T})}_{2}} = {(\frac{6}{3})}^{2}$

${(v_{T})}_{2} = \frac{{(v_{T})}_{1}}{4} = 5 cm/sec$