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Two particles P and Q are in motion. The...

Two particles P and Q are in motion. Their displacement-time graphs are respectively inclined at `30^(@)` and `60^(@)` to time axis. Their ratio of velocities `(V_(P))/(V_(Q))` 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) = (d X_(Q))/(d t) = tan 60^(@)`

`V_(P) = (d X_(P))/(d t) = tan 30^(@)`
`(V_(P))/(V_(Q)) = (tan 30^(@))/(tan 60^(@)) = (1)/(sqrt(3) xx sqrt(3)) = (1)/(3)`
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