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. ` sqrt3:1`
D. ` 1: 3`

Answer

D

Explanation

` (v_A)/(v_B) =(tan theta A) /( tan theta B) =( tan 30 ^(@) )/( tan 60 @) )= (1//sqrt (3))/( sqrt3)=(1)/(3) `