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Motion in A Straight Line question

2006 · Q152
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Motion in A Straight Line question

2006 · Q152

NEETPhysicsMotion in A Straight LineMCQ+4 / −1
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. A
    4/5
  2. B
    5/4
  3. C
    12/5
  4. D
    5/12
View written solutionFree

Correct answer: A

Here h = 12gt2{1 \over 2}g{t^2}21​gt2

For body A, 16 = 12gt12{1 \over 2}gt_1^221​gt12​

For body B, 25 = 12gt22{1 \over 2}gt_2^221​gt22​

∴\therefore∴ 1625=t12t22{{16} \over {25}} = {{t_1^2} \over {t_2^2}}2516​=t22​t12​​

⇒\Rightarrow⇒ t1t2=45{{{t_1}} \over {{t_2}}} = {4 \over 5}t2​t1​​=54​

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