From an inclined plane two particles are projected with same speed at same angle θ, one up and the other down the plane as shown in fig. (3). Which statement(s) is/are correct?
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a
the particles will collide the plane with same speed
b
the times of flight of each particle are same
c
both particles strike the plane simultaneously
d
the particles will not collide in mid air if projected simultaneously
answer is B.
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Detailed Solution
The projection of projectiles P and Q are separately shown in fig, (a and b) respectively.The time of flight of P is given byTp=2usin(α−β)gcosβ=2usin(2θ−θ)gcosθ=2utanθgThe time of flight of Q is given byTQ=2usin(α+β)gcosβ=2usinθgcosθ=2utanθg∴ TP=TQ