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

Options

A. `1//2`
B. `1// sqrt3`
C. `sqrt3`
D. `1//3`

Answer

D

Explanation

`v_(A) = tan 30^(@) and v_(B) = tan 60^(@)`
`:. (v_(A))/(v_(B)) = (tan 30^(@))/(tan 60^(@)) = (1//sqrt3)/(sqrt3) = (1)/(3)`