Question

# 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 & R2 be their respective ranges and h1 & h2 be their respective maximum height then [here T1 & T2 are times of flight in the two cases respectively]

A
h1=h2
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B
R2R1=T21
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C
R2R1=g sin θT22
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D
R2R1=g sin θT21
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Solution

## The correct options are A h1=h2 C R2−R1=g sin θT22 D R2−R1=g sin θT21R1=2u2sinαcos(α+θ)gcos2θ and h1=u2sin2α2gcosβ R2=2u2sinαcos(α−θ)gcos2θ and h2=u2sin2α2gcosβ hence h1=h2 R2−R1=g sinθT22 R2−R1=g sinθT21

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