Question : If the phase difference between two points is 1200 for a wave with a velocity of 360 m/s and a frequency of 500 Hz, then the path difference between the two points is:
Option 1: 1 cm
Option 2: 6 cm
Option 3: 12 cm
Option 4: 24 cm
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Correct Answer: 24 cm
Solution : The correct option is 24cm .
Wavelength (λ ) can be calculated by dividing the velocity (v) of the wave by the wave frequency (f)
λ = v/f
λ = 360/500 = 0.72
φ= path difference
The path difference between the two points is given by
λ/2π × φ = 0.72/360 × 120
= 0.24 m
= 24 cm
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