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