Kinematics Question 178

Question: Two bodies of different masses $ m _{a} $ and $ m _{b} $ are dropped from two different heights $ a $ and $ b $ . The ratio of the time taken by the two to cover these distances are [NCERT 1972; MP PMT 1993]

Options:

A) $ a:b $

B) $ b:a $

C) $ \sqrt{a}:\sqrt{b} $

D) $ a^{2}:b^{2} $

Show Answer

Answer:

Correct Answer: C

Solution:

$ h=\frac{1}{2}gt^{2}\Rightarrow t=\sqrt{2h/g} $

$ t _{a}=\sqrt{\frac{2a}{g}}and\ t _{b}=\sqrt{\frac{2b}{g}}\Rightarrow \frac{t _{a}}{t _{b}}=\sqrt{\frac{a}{b}} $



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