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JEE Advanced 2013Paper 1
Exam
JEE Advanced
Year
2013
Paper
Paper 1
Subject
Physics
Chapter
Motion in Two Dimensions

JEE Advanced 2013 · Paper 1 · Physics · Motion in Two Dimensions

A particle of mass m is projected from the ground with an initial...

A particle of mass mm is projected from the ground with an initial speed u∘{u}_{∘} at an angle α\alpha with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed u∘{u}_{∘}. The angle that the composite system makes with the horizontal immediately after the collision isA particle of mass m is projected from the ground with an initial speed u _ ∘ at an angle α with the horizontal. At theA particle of mass m is projected from the ground with an initial speed u _ ∘ at an angle α with the horizontal. At the

Options

  1. A\dfrac{π}{4}
  2. B\dfrac{π}{2} + α
  3. C\dfrac{π}{2} - α
  4. D\dfrac{π}{2}

Correct answer

A. \dfrac{π}{4}

Step-by-step solution

At the highest point A particle of mass m is projected from the ground with an initial speed u _ ∘ at an angle α with the horizontal. At the (v_{1}=u0cos⁡α2\frac{u_{0} \cos \alpha}{2} \quad (by applying momentum conservation in horizontal direction) (v2=u0cos⁡α2\mathrm{v}_{2}=\frac{\mathrm{u}_{0} \cos \alpha}{2} \quad (by applying momentum conservation in vertical direction) (θ=\theta=45^{{}^{\circ}}(H=u02sin⁡2α2 g)\left(\mathrm{H}=\frac{\mathrm{u}_{0}^{2} \sin ^{2} \alpha}{2 \mathrm{~g}}\right)
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