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Two balls are thrown from an inclined plane at angle of projection α with the plane one up the incline plane and other down the incline as shown in the figure. If R1 and R2 be their respective ranges, then: [here T1&T2 are times of flight in the two cases respectively]

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a

h1=h2

b

R2−R1=T12

c

R2−R1=gsin⁡θT22

d

R2−R1=gsin⁡θT12

answer is A.

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Detailed Solution

R1=2u2sinα cos(α+θ)g cos2θR2=2u2sinα cos(α−θ)g cos2θR2−R1=g sinθ T22R2−R1=gsin⁡θT12

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Two balls are thrown from an inclined plane at angle of projection α with the plane one up the incline plane and other down the incline as shown in the figure. If R1 and R2 be their respective ranges, then: [here T1&T2 are times of flight in the two cases respectively]