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Questions  

A rain drop starts falling from a height of 2 km. It falls with a continuously decreasing acceleration and attains its terminal velocity at a height of 1 km. The ratio of the work done by the gravitational force in the first half and the second half of the drops journey is:

a
1 : 1 and the times of fall of the drop in the two halves is a : 1 (where a > 1)
b
1 : 1 and the times of fall of the drop in the two halves is a : 1 (where a<1)
c
a : 1 (where a > 1) and the times of fall of the drop in the two halves is 1 : 1
d
a : 1 (where a < 1) and the times of fall of the drop in the two halves is 1 : 1

detailed solution

Correct option is A

Taking g constant, work done in both the cases is -mg×(1000) since the maximum 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 second half journey will be less.

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