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  4. 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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Q. 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

JEE MainJEE Main 2022Motion in a Straight Line

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}}$