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Assertion : When the velocity of projection of a body is made \(n\) times, its time of flight becomes \(n\) times.
Reason : Range of projectile does not depend on the initial velocity of a body.
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Reason : Range of projectile does not depend on the initial velocity of a body.
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Verified Answer
The correct answer is:
If assertion is true but reason is false
As time of flight,
$T=\frac{2 u \sin \theta}{g} \quad \therefore T^{\prime}=\frac{2(n u) \sin \theta}{g}=n T$
But range
$R=\frac{u^2 \sin 2 \theta}{g} \therefore R^{\prime}=\frac{n^2 u^2 \sin 2 \theta}{g}=n^2 R$.
$T=\frac{2 u \sin \theta}{g} \quad \therefore T^{\prime}=\frac{2(n u) \sin \theta}{g}=n T$
But range
$R=\frac{u^2 \sin 2 \theta}{g} \therefore R^{\prime}=\frac{n^2 u^2 \sin 2 \theta}{g}=n^2 R$.
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