A particle moves on the X-ails according to the equation x = A + B sin ωt. The motion is simple harmonic with amplitude

As the amplitude is the maximum distance the particle can travel from its mean position).

the mean position is when the time is . On putting in the equation, we get

And the maximum position is when the time is of T (time period). Therefore, will be maximum i.e. one, hence

Hence, the amplitude is