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Questions  

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

 List – I List – II θ
a)For  height to become maximume)45°
b)For Maximum Rangef)tan-1 (4)
c)For R = Hg)tan-1 (2)
d)For gT2 = 4Rh)90°
 abcd
1hefg
2fehg
3hfge
4fheg

a
1
b
2
c
3
d
4

detailed solution

Correct option is A

(1) Maximum Height H=U2sin2⁡θ2gθ=90∘ H is maximum (h)(2) Range =U2sin2θg when θ 45° R is maximum (e)(3) θ=45∘R=U2sin⁡2sin⁡θcos⁡θg; =H=U2sin2⁡θ2g  if H=R  tanθ=4(f)(4) gT2=4R;g⋅2Usin⁡θg2=4U2sin⁡2sin⁡θcos⁡θg  ;  tanθ= 2

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