A progressive wave equation is represented by y = a sin(1...
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
Correct answer is C
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
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