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Motion In Straight Line

Question
CBSEENPH11020808

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

  • 5/4

  • 12/5

  • 5/12

  • 4/5

Solution

D.

4/5

As bodies are dropped from a certain height, their initial velocities are zero i.e., u = 0.
For free fall from a height u = 0 (initial velocity).
From second equation of motion
                       straight h equals ut plus 1 half gt squared
or                    straight h equals 0 plus 1 half gt squared
therefore space space space space space space space space space space space space space space straight h subscript 1 over straight h subscript 2 space equals space open parentheses straight t subscript 1 over straight t subscript 2 close parentheses squared
Given comma space space space space space space space space space straight h subscript 1 space equals space 16 space straight m comma space space space straight h subscript 2 space equals space 25 space straight m
therefore space space space space space space space space straight t subscript 1 over straight t subscript 2 space equals square root of straight h subscript 1 over straight h subscript 2 end root space equals square root of 16 over 25 end root space equals 4 over 5