TS EAMCET · Physics · Motion In Two Dimensions
A body \(P\) is projected at an angle of \(30^{\circ}\) with the horizontal and another body \(Q\) is projected at angle of \(30^{\circ}\) with the vertical. If the ratio of the horizontal ranges of the bodies \(P\) and \(Q\) is \(1: 2\), then the ratio of the maximum heights reached by the bodies \(P\) and \(Q\) is
- A \(1: 4\)
- B \(1: 6\)
- C \(2: 3\)
- D \(1: 1\)
Answer & Solution
Correct Answer
(B) \(1: 6\)
Step-by-step Solution
Detailed explanation
Horizontal range, \(\mathrm{R}=\frac{\mathrm{u}^2 \sin 2 \theta}{\mathrm{~g}}\) Maximum height, \(\mathrm{H}=\frac{\mathrm{u}^2 \sin ^2 \theta}{2 \mathrm{~g}}\) \(\frac{\mathrm{H}_{\mathrm{P}}}{\mathrm{H}_{\mathrm{Q}}}=\frac{1}{6}\) or,…
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