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QJEEM19Ph374f: JEE Main 2019 Physics - Class 11 JEEM19Ph374f Solution: A rectangular solid box of length 0.3 m is held horizontally,…

A rectangular solid box of length 0.3 m is held horizontally, with one of its sides on the edge of a platform of height 5m. When released, it slips off the table in a very short time t = 0.01s, remaining essentially horizontal. The angle by which it would rotate when it hits the ground will be (in radians) close to :- JEE Main 2019 (Online) 8th April Evening Slot Physics - Rotational Motion Question 158 English

Multiple Choice Options

  • A 0.28
  • B 0.02
  • C 0.3
  • D 0.5

Step-by-Step Verified Solution

Angular impulse = change in angular momentum.

mgl2×0.01=ml23ω

ω=3g×0.012l=3×10×0.012×0.3

= 12=0.5rad/s

Time taken by rod to hit the ground

t=2hg=2×510=1sec.

In this time angle rotate by rod
θ = ωt = 0.5 × 1 = 0.5 radian

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