Question

The displacement-time graphs of two particles A and B are straight lines making angles of 30° and 60° respectively with the time axis. If the velocity of A is v_A and that of B is v_B, the value of v_A/v_B is ______.

विकल्प

• 1/2

• 1/`sqrt3`

• `sqrt3`

• 1/3

Answer 1

The displacement-time graphs of two particles A and B are straight lines making angles of 30° and 60° respectively with the time axis. If the velocity of A is v_A and that of B is v_B, the value of v_A/v_B is 1/3.

Explanation:

v_A = tan 30° and v_B = tan 60°

∴ `"v"_"A"/"v"_"B"=(tan30°)/(tan60°)`

= `(1//sqrt3)/sqrt3`

= `1/3`