Two particles are performing SHM in same phase. It means that

Options

A. the two particles must have same distance from the mean position simultaneously
B. two particles may have same distance from the mean position simultaneously
C. the two particles must have maximum speed simultaneously
D. the two particles may have maximum speed simultaneously

Answer

BC

Explanation

`Y_(1)=Asin(wt+phi_(1))`
`y-(2)=A^(1)sin(w't+phi_(1)=w't+phi_(2)`
if `phi_(Total)` is same it means `wt+phi_(1)=w't+phi_(2)` Same phase means the particle are at their mean position simultaneously. Also, they are at their extreme positions simultaneously . For this to happen, their Frequencies must also be equal . But their amplitudes can be different.