Q.
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=gsinθT22
d
R2−R1=gsinθT12
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=gsinθT12
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