46. 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

46. 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

(a) 12/5

(b) 5/12

(c) 4/5

(d) 5/4

Answer :  (c) 4/5

\( s = ut + \)\( \frac{1}{2} \)\( a t^2 \)

\( 16 = 0 + \)\( \frac{10}{2} \)\( {t_1}^2 \)

\( 25 = 0 + \)\( \frac{10}{2} \)\( {t_2}^2 \)

\( \rightarrow \)\( \frac{t_1}{t_2} \)\( = \)\( \frac{4}{5} \)