Two projectiles are thrown with same initial velocity making an angle of 45° and 30° with the horizontal respectively. The ratio of their respective ranges will be

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$\sqrt{3} : 2$

$2 : \sqrt{3}$

$1 : \sqrt{2}$

$\sqrt{2} : 1$

answer is C.

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Detailed Solution

Let projection speed is u

$\begin{array}{l} R_{1} = \frac{u^{2} Sin (90^{\circ})}{g}; R_{2} = \frac{u^{2} \sin (60^{\circ})}{g} \\ \frac{R_{1}}{R_{2}} = \frac{2}{\sqrt{3}} \end{array}$

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