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A raind drop starts falling from a heigh...

A raind drop starts falling from a heigh of `2km`. If falls with a continuously decreasing acceleration and attains its terminal velocity at a height of `1km`. The ratio of the work done by the gravitational force in the first halt to that in the second half of the drops journey is

A

`1:1` and the time of fall of the drop in the two halves is `a:1` (where `agt1`)

B

`1:1` and the time of fall of the drop in the two halves is `a:1` (where `alt1`)

C

`a:1` (where `agt1`) and the time of fall of the drop in the two halves is `1:1`

D

`a:1` (where `alt1`) and the time of fall of the drop in the two halves is `1:1`

Text Solution

Verified by Experts

The correct Answer is:
A
Taking g as constant, work done in bogh the cases is `-mg(1000)` since the max velocity of the journey is attained at a height of 1 km, and the second half journey is travelled by max. velocity, the time taken for the second half journey will be less.
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