JEE Mains · Physics · STD 11 - 9.1 fluid mechanics
A small metallic sphere of diameter 2 mm and density \(10.5 g / cm ^3\) is dropped in glycerine having viscosity 10 Poise and density \(1.5 g / cm ^3\) respectively. The terminal velocity attained by the sphere is ___________ \(cm / s\).
\(\left(\pi=\frac{22}{7}\right.\) and \(\left.g=10 m / s ^2\right)\)
- A 2.0
- B 1.0
- C 3.0
- D 1.5
Answer & Solution
Correct Answer
(A) 2.0
Step-by-step Solution
Detailed explanation
\(V _{ T }=\frac{2 r ^2 g}{9 \eta}\left(\rho_{ b }-\rho_{\ell}\right)\) \(V _{ T }=\frac{2}{9} \frac{(.1)^2 \times 10}{(10)}(10.5-1.5)\) \(V _{ T }=2 cm / sec\).
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