If for a given angle of projection, the horizontal range is doubled, the time of flight becomes

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Solution

The correct option is C

$R = \frac{u^{2} s i n 2 θ}{g} a n d T = \frac{2 u s i n θ}{g}$

$∴ R \propto u^{2} a n d T \propto u$ (If $θ$ and g are constant ).

In the given condition to make range double, velocity must be increased upto $\sqrt{2}$ times that of previous value. So automatically time of flight becomes $\sqrt{2}$ times.

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If for a given angle of projection, the horizontal range is doubled, the time of flight becomes

The correct option is C R=u2 sin 2 θg and T=2u sin θg ∴ R∝ u2 and T ∝ u (If θ and g are constant ). In the given condition to make range double, velocity must be increased upto √2 times that of previous value. So automatically time of flight becomes √2 times.