The ratio of time taken by two objects A and B of masses 1 kg and 3 kg to free fall from height 16 m and 25 m respectively is ......

The ratio of time taken by two objects A and B of masses 1 kg and 3 kg

1.	The ratio of time taken by two objects A and B of masses 1 kg and 3 kg to free fall from height 16 m and 25 m respectively is ......
Answer» `12/5` `5/12` `4/5` `5/4` SOLUTION :`d = V _(0) t + 1/2 g t ^(2) and v _(0) = 0` `THEREFORE d = 1/2 g t ^(2)` `t = SQRT ((2d)/(g))` it is independent of mass `therefore t _(1) = sqrt ((2 xx 16)/(9.8)) and t _(2) = sqrt ((2 xx 25)/(9.8))` `therefore (t_(1))/(t_(2)) = sqrt (( 2 xx 16)/(2 xx 2 5)) = 4/5`