Q.

Assertion : For projection angle tan-1(4),  the horizontal range and the maximum height of a projectile are equal.Reason : The maximum range of projectile is directly proportional to square of the velocity and inversely proportional to acceleration due to gravity.

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a

If both assertion and reason are true and reason is a true explanation of assertion.

b

If both assertion and reason are true but reason is not the correct explanation of assertion.

c

If assertion is true but reason is false.

d

If both assertion and reason are false.

answer is B.

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Detailed Solution

We know R = 4H cotθIf R = H, the cotθ = (14) or tan θ = (4)and R = u2sin2θg          R ∝ u2g
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