A progressive wave equation is represented by y = a sin(150 πt – πx/4). if the phase difference of a progressive wave is 45°, the value of x in the equation is
- 3 cm
- 4 cm
-
1 cm
- 2 cm
The correct answer is: C
Explanation
Y = sin π(150πt - πx/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
∴ 2πx/8 = 45°
since π = 180°
45° X 8 = 2 X 180° x
∴ x = 1cm