A progressive wave equation is represented by y = a sin\(\pi\) (150 Ï€t - x/4). if the phase difference of a progressive wave is 45°, the value of x in the equation is
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Correct Answer: Option A
Explanation:
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
∴ 2x/8 = sin 45°
∴ x/4 = 0.7071 => x = 4 x 0.7071
= 2.82
= 3cm
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
∴ 2x/8 = sin 45°
∴ x/4 = 0.7071 => x = 4 x 0.7071
= 2.82
= 3cm