Properties Of Solids And Liquids Question 242

Question: What is the velocity v of a metallic ball of radius r falling in a tank of liquid at the instant when its acceleration is one-half that of a freely falling body ? (The densities of metal and of liquid are r and s respectively, and the viscosity of the liquid is h).[Kerala PET 2005]

Options:

A)7 $ m{{s}^{-1}} $

B)8 $ m{{s}^{-1}} $

C)9 $ m{{s}^{-1}} $

D)10 $ m{{s}^{-1}} $

Show Answer

Answer:

Correct Answer: D

Solution:

$ \frac{P _{1}-P _{2}}{\rho g}=\frac{v^{2}}{2g} $

therefore $ \frac{4.5\times 10^{5}-4\times 10^{5}}{10^{3}\times g}=\frac{v^{2}}{2g} $ \ v=10m/s



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