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Two objects are dropped together from th...

Two objects are dropped together from the height `h_1` and `h_2` . The ratio of time taken by them to reach the earth is

A

`sqrt(h_1/h_2)`

B

`h_1/h_2`

C

`sqrt(h_2/h_1)`

D

`h_2/h_1`

Text Solution

Verified by Experts

The correct Answer is:
A
We know that , `t = sqrt((2h)/(g))`
For the first body
`t_1 = sqrt((2h_1)/(g))`
For the second body,
`t_2 = sqrt((2h_2)/(g))`
`t_1/t_2 = (sqrt((2h_1)/(g)))/(sqrt(2h_2//g)) = sqrt(h_1/h_2)`
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