MHT CET20243 May 2024Evening ShiftPhysicsMechanical Properties of FluidsActual

A steel ball of radius 6 mm has a terminal speed of 12 cms ⁻¹ in a viscous liquid. What will be the terminal speed of a steel ball of radius 3 mm in the same liquid?

Options

A12 cms ⁻¹
B9 cms ⁻¹
C6 cms ⁻¹
D3 cms ⁻¹

Correct answer

D. 3 cms ⁻¹

Step-by-step solution

Terminal speed, v= 2 r^2 g ( - _L ) 9 Since density of balls and liquid remains the same, aligned & v _ A v _ B = ( r _ A r _ B )^2= ( 6 3 )^2=4 & v _ B = v _ A 4 = 12 4 =3 cms ⁻¹ aligned

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