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
