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Q.

A particle is projected from the ground with velocity u at angle q with horizontal. The horizontal range, maximum height and time of flight are R, H and T respectively. They are given by, R=u2sin 2θg, H=u2sin2θ2g and T=2u sin θgNow keeping u as fixed q is varied from 30° to 60°. Then:

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a

R will first increase. H will increase and T will decrease

b

R will first increase then decrease while H and T both will increase

c

R will decrease while H and T will increase

d

R will increase while H and T will decrease

answer is B.

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Detailed Solution

Range→ R α sin2θ here sin2θ will first increase till 450 then decreasemaximum height→ H α sin2θ here sin2θ will only increase. time of flight→ T α sinθ here sinθ will only increase.

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