TS EAMCET · Physics · Motion In One Dimension
The displacement-time graphs of two moving particles make angles of \(30^{\circ}\) and \(45^{\circ}\) with the time axis. The ratio of their velocities is 
- A \(\sqrt{3}: 2\)
- B \(1: 1\)
- C \(1: 2\)
- D \(1: \sqrt{3}\)
Answer & Solution
Correct Answer
(D) \(1: \sqrt{3}\)
Step-by-step Solution
Detailed explanation
Velocity \(\mathrm{v}=\frac{\text { displacement }(\mathrm{s})}{\text { time }(\mathrm{t})}\) From given s-t graph \(\frac{\mathrm{V}_{\left(30^{\circ}\right)}}{\mathrm{V}_{\left(45^{\circ}\right)}}=\frac{\tan 30^{\circ}}{\tan 45^{\circ}}=\frac{1 / \sqrt{3}}{1}=1: \sqrt{3}\)
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