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AIIMS 2005
Exam
AIIMS
Year
2005
Subject
Physics
Chapter
Motion in One Dimension

AIIMS 2005 · Physics · Motion in One Dimension

When a ball is thrown up vertically with velocity v_0 , it reaches...

When a ball is thrown up vertically with velocity v0v_0, it reaches a maximum height of hh. If one wishes to triple the maximum height then the ball should be thrown with velocity

Options

  1. A3v0\sqrt{3} v_0
  2. B3v03 v_0
  3. C9v09 v_0
  4. D3/2v03 / 2 v_0.

Correct answer

A. 3v0\sqrt{3} v_0

Step-by-step solution

As v2=u2+2asv^2=u^2+2 a s \therefore u² \propto s  or  \text{\text{ or } }v_0^2 \propto s \quad\left(\becauseu=v_0\right)Forgivencondition,u′2∝3sFor given condition,u^{\prime 2} \propto 3 s From eqn. (i) and (ii), u′2v02=\frac{u^{\prime 2}}{v_0^2}=3 \Rightarrow u^{\prime}=3\sqrt{3}v_0
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