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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

`1:2`

B

`1:sqrt(3)`

C

`sqrt(3):1`

D

`1:3`

Text Solution

Verified by Experts

The correct Answer is:
D

`V_(A)=tan 30^(@)`
`V_(B)=tan 60^(@)`
`(V_(A))/(V_(B))=(tan 30^(@))/(tan 60^(@))=(1)/(sqrt(3).sqrt(3))=1:3`
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