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From the adjoining displacement-time gra...

From the adjoining displacement-time graph for two particles A & B the ratio of velocities` v_(A) : v_(B)` will betime

A

`1: 2`

B

`1 : sqrt(3)`

C

`sqrt(3) : 1 `

D

`1 : 3 `

Text Solution

Verified by Experts

The line having greater slope has greater velocity, hence the line making an angle 60º with time axis
has greater velocity. Now ` (V_(A))/(V_(B)) = (tan 30^(@))/(tan 60^(@)) = (1 //sqrt(3))/(sqrt(3)) = (1)/(3)`
hence correct answer is (D)
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