Two projectiles are thrown with same initial velocity making an angle of 45^{circ} and 30^{circ} wit

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3-2.Motion in Plane

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Two projectiles are thrown with same initial velocity making an angle of $45^{\circ}$ and $30^{\circ}$ with the horizontal respectively. The ratio of their respective ranges will be.

A

$1: \sqrt{2}$

B

$\sqrt{2}: 1$

C

$2: \sqrt{3}$

D

$\sqrt{3}: 2$

(JEE MAIN-2022)

Solution

Let projection speed is $u$

$R _{1}=\frac{ u ^{2} \operatorname{Sin}\left(90^{\circ}\right)}{ g } ; R _{2}=\frac{ u ^{2} \sin \left(60^{\circ}\right)}{ g }$

$\frac{ R _{1}}{ R _{2}}=\frac{2}{\sqrt{3}}$

Standard 11

Physics

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