JEE Mains · Physics · STD 11 - Motion in straight line
- JEE Mains 2024
- Hard
- MCQ
Train A is moving along two parallel rail tracks towards north with speed \(72 \mathrm{~km} / \mathrm{h}\) and train B is moving towards south with speed \(108 \mathrm{~km} / \mathrm{h}\). Velocity of train \(B\) with respect to \(A\) and velocity of ground with respect to \(B\) are _______ (in \(\mathrm{ms}^{-1}\) ).
Pick an option to check your answer.
Answer & Solution
Correct Answer
(C) \(-50\) and \(30\)
Step-by-step Solution
Detailed explanation
\(\mathrm{B} \downarrow 30 \mathrm{~m} / \mathrm{s}\)
\(\uparrow 20 \mathrm{~m} / \mathrm{s}\)
\(\mathrm{A}^{\uparrow}\)
\(\mathrm{V}_{\mathrm{A}}=20 \mathrm{~m} / \mathrm{s}\)
\(\mathrm{V}_{\mathrm{B}}=-30 \mathrm{~m} / \mathrm{s}\)
Velocity of \(B w.r.t. A\)
\(\mathrm{V}_{\mathrm{B} / \mathrm{A}}=-50 \mathrm{~m} / \mathrm{s}\)
Velocity of ground \(w.r.t. B\)
\(\mathrm{V}_{\mathrm{G} / \mathrm{B}}=30 \mathrm{~m} / \mathrm{s}\)
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