A transverse harmonic wave of amplitude 4 mm and wavelength `1.5` m is travelling in positive `x` direction on a stretched string. At an instant, the particle at `x = 1.0` m is at `y = + 2` mm and is travelling in positive `y` direction. Find the co- ordinate of the nearest particle `(x gt 1.0 m)` which is at its positive extreme at this instant.