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Two bodies A (of mass 1 kg) and B (of ma...

Two bodies `A` (of mass `1 kg`) and `B` (of mass `3 kg`) are dropped from heights of `16 m` and `25 m`. Respectively. The ratio of the time taken to reach the ground is :

A

1) 5/6

B

2) 12/5

C

3) 5/12

D

4) 4/5

Text Solution

Verified by Experts

The correct Answer is:
D
As bodies are dropped from a certain
height, their initial velocities are zero,
`i.e.,u=0`
`("using")ut+frac(1)(2)("gt")^(2)or0+frac(1)(2)("gt")^(2)`
Given `h_(1)=16m,h_(2)=25m`
`Rightarrowsqrt(frac(h_(1))(h_(2)))=sqrt(frac(16)(25))=frac(4)(5)`
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