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NEET 2002
Exam
NEET
Year
2002
Subject
Physics
Chapter
Motion in Two Dimensions

NEET 2002 · Physics · Motion in Two Dimensions

A particle (a) is dropped from a height and another particle (b) is...

A particle (a) is dropped from a height and another particle (b) is projected in the horizontal direction with a speed of 5 ms−15 \mathrm{~ms}^{-1} from the same height, then the correct statement is:A particle (a) is dropped from a height and another particle (b) is projected in the horizontal direction with a speed

Options

  1. Aparticle (a) will reach at the ground first with respect to particle (b)
  2. Bparticle (b) will reach at the ground first with respect to particle (a)
  3. Cboth particle will reach at the ground simultaneously
  4. Dboth particles will reach at the ground with the same speed

Correct answer

C. both particle will reach at the ground simultaneously

Step-by-step solution

A particle (a) is dropped from a height and another particle (b) is projected in the horizontal direction with a speed For particle A h=12gt2tA=2hg\begin{aligned} & h=\frac{1}{2} g t^2 \\ & t_{\mathrm{A}}=\sqrt{\frac{2 h}{g}} \end{aligned} For particle B. In vertical direction Using S=ut+12+at2⇒h=12g+tn2⇒tB=2hg\mathrm{S}=u t+\frac{1}{2}+a t^2 \Rightarrow h=\frac{1}{2} g+t_n^2 \Rightarrow t_{\mathrm{B}}=\sqrt{\frac{2 h}{g}}
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