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Q.

A projectile can have the same range R for two angles of projection. If t1 and t2 be the times of flight in the two cases, then

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a

t1t2R2

b

t1t2R

c

t1t21R

d

t1t21R2

answer is B.

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Detailed Solution

R is same at an angle θ and  (90°-θ)

t1=2u sin θg & t2=2u sin 90-θg=2u cos θg      t1t2=2u sin θg×2u cos θg      t1t2=u2 2 sinθ cosθg×2g t1t2=2Rg t1t2R

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A projectile can have the same range R for two angles of projection. If t1 and t2 be the times of flight in the two cases, then