Two balls are rolling on a flat surface. One has velocity components ` m//s` and `sqrt(3) m//s` along the rectangular axes `x` and `y`, respectively and the other has component `2 m//s` and `2 m//s`, respectively. If both the balls start moving from the same point, the angle between their directions of motion is

Options

A. `15^(@)`
B. `30^(@)`
C. `45^(@)`
D. `60^(@)`

Answer

A

Explanation

`tan theta_(1) = (sqrt(3))/(1) rArr theta_(1) = 60^(@)`
`tan theta_(2) = (2)/(1) rArr theta_(2) = 45^(@)`
`theta_(1) - theta_(2) =15^(@)`