A progressive wave equation is represented by y = a sin (150 πt - πt/4). if the phase difference of a progressive wave is 45o, the value of x in the equatio...

A progressive wave equation is represented by y = a sin (150 πt - πt/4). if the phase difference of a progressive wave is 45o, the value of x in the equation is

Answer Details

Y = sin π(150t - x/4)
comparing the above with the standard wave equation:
Y = A sin π ((2vt)/λ - (2x)/λ)
=> the phase difference x/4 = 2x/λ
∴ 1/4 = 2/λ => λ = 8cm
∴ 2/8x = 45o
∴ x/4 = 0.7071 => x = 4 x 0.7071
= 2.82
= 3cm