The displacement-time graph for two bodies A and B are straight lines inclined at 60° and 30° to the time axis. Find the ratio of their speed is
Correct answer: A. 3:1
- A. 3:1
- B. √3:1
- C. 1:3
- D. 1:3^1/2
Explanation
The slope of the displacement-time graph represents velocity. The tangent of the angle of inclination of the line gives the ratio of the velocities. So, if the angles are 60° and 30°, the ratio of speeds would be tan(60°):tan(30°) = 3:1Incorrect Options Explanation:(b) √3:1: This ratio doesn't correspond to the given angles.(c) 1:3: This ratio is the inverse of the correct ratio.(d) 1:3^1/2: This ratio is the reciprocal of the correct ratio.
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