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Assertion : The maximum horizontal range of projectile is proportional to square of velocity.
Reason : The maximum horizontal range of projectile is equal to maximum height attained by projectile.

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

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

If assertion is true but reason is false.

If both assertion and reason are false.

answer is C.

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Detailed Solution

R $= \frac{u^{2} \sin 2 θ}{g}$

$R_{m a x} = \frac{u^{2}}{g} w h e r e θ = 45^{0}$

$R_{m a x} \propto u^{2}$

Height H = $\frac{u^{2} \sin^{2} θ}{2 g}$

$\Rightarrow H_{m a x} = \frac{u^{2}}{2 g} w h e n θ = 90^{0}$

It is clear that $H_{m a x} = \frac{R_{m a x}}{2}$

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