From an inclined plane two particles are projected with same speed at same angle θ, one up and other down the plane as shown in figure. Which of the following 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 strikes the plane perpendicularly
d
None of these
answer is B.
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Detailed Solution
Component of velocity of projection of each particle perpendicular to the inclined plane =u sin θComponent of g perpendicular to the inclined plane = g cosθTherefore in a direction perpendicular to the inclined plane , 0 = (u sin θ) T - 12g cos θT2 = 0 ⇒T =2u sin θg cos θ