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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 by them to reach the ground is

1. 1:2
2. 5:12
3. 4:5
4. 5:4

Correct answer: 4:5

Solution

The time taken by a body to fall is determined by the equation t = √(2h/g). Since g is constant, the ratio of times depends on the square root of the heights. For A: √16 = 4, and for B: √25 = 5. Thus, the ratio is 4:5.

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