Two particles undergo SHM along the same line with the same time period (T) and equal amplitude (A). At a particular instant one is at x = -A and the other is at x = 0. If they start moving in the same direction then they will cross each other at

(i) `t = (4T)/(3)`
(ii) `t = (3T)/(8)`
(iii) `x = (A)/(2)`
(iv) `x = (A)/(sqrt(2))`

Options

A. only i, iii are correct
B. only i, iv are correct
C. only ii, iii are correct
D. only ii, iv are correct

Answer

D

Explanation

Time after which they meet `t = (T)/(4) + (T)/(8), t = (T)/(8), x = A cos (omega t)`