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The displacement-time graph for two part...

The displacement-time graph for two particles A and B are straight lines inclined at angles of `30^(@)` and `60^(@)` with the time axis. The ratio of velocities of `V_(A) :V_(B)` is

A

`1 : sqrt(3)`

B

`sqrt(3) : sqrt(2)`

C

`1:2`

D

`1:3`

Text Solution

Verified by Experts

The correct Answer is:
D
`V_(Q)=(dX_(Q))/(dt)= tan 60^(@)`

`V_(P) =(dX_(P))/(dt) = tan 30^(@)`
`(V_(P))/(V_(Q)) =(tan 30^(@))/(tan 60^(@))=(1)/(sqrt(3)xxsqrt(3))=(1)/(3)`
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