Q.

Match the following in List - I and List - II For a projectile (R = Range, H = Maximum height,  = angle of projection, T = time of flight)

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a

1

b

2

c

3

d

4

answer is A.

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Detailed Solution

(1) Maximum Height H=U2sin2⁡θ2gθ=90∘ H is maximum (h)(2) Range =U2sin2⁡θg when θ 45° R is maximum (e)(3) θ=45∘R=U2sin⁡2sin⁡θcos⁡θg=H=U2sin2⁡θ2gtan⁡θ=4(f)(4) gT2=4R;g⋅2Usin⁡θg2=4U2sin⁡2sin⁡θcos⁡θgtanθ= 2
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