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Question
The displacement-time graphs of two particles A and B are straight lines making angles of 30° and 60° respectively with the time axis. If the velocity of A is vA and that of B is vB, the value of vA/vB is ______.
Options
1/2
1/`sqrt3`
`sqrt3`
1/3
MCQ
Fill in the Blanks
Solution
The displacement-time graphs of two particles A and B are straight lines making angles of 30° and 60° respectively with the time axis. If the velocity of A is vA and that of B is vB, the value of vA/vB is 1/3.
Explanation:
vA = tan 30° and vB = tan 60°
∴ `"v"_"A"/"v"_"B"=(tan30°)/(tan60°)`
= `(1//sqrt3)/sqrt3`
= `1/3`
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