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:

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

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

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

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

answer is A.

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Detailed Solution

Taking g constant, work done in both the cases is -mg $\times$ (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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