JEE Mains · Physics · STD 11 - 3.2 motion in plane
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 \(\sqrt{3}: 2\)
Answer & Solution
Correct Answer
(C) \(2: \sqrt{3}\)
Step-by-step Solution
Detailed explanation
Let projection speed is \(u\) \(R _{1}=\frac{ u ^{2} \operatorname{Sin}\left(90^{\circ}\right)}{ g } ; R _{2}=\frac{ u ^{2} \sin \left(60^{\circ}\right)}{ g }\) \(\frac{ R _{1}}{ R _{2}}=\frac{2}{\sqrt{3}}\)
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