A particle is projected with a certain velocity at an angle α above the horizontal from the foot of an inclined plane of inclination 300. If the particle strikes the plane normally then α is equal to:
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a
300+tan-1(32)
b
450
c
600
d
300+tan-1(23)
answer is A.
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Detailed Solution
tAB = time of flight of projectile = 2u sin(α-300)g cos 300Now component of velocity along the plane becomes zero at point B.θ = u cos(α-300)-g sin 300×Tor u cos(α-300) = g sin 300× 2u sin(α-300)g cos 300or tan(α-300) = cot 3002 = 32 α = 300+tan-1(32)