Answer :
Answer: a) 152 cm
b) 0.725 ms
c) 10°
Explanation:
Given
Frequency of the wave, f = 524 Hz
Speed of the wave, v = 345 m/s
Wavelength of the wave, λ = ?
The relation for wavelength is given by
λ = f/v, on substituting
λ = 524 / 345
λ = 1.52 m or 152 cm
T = 1/v
T = 0.0029 s
T = 2.9 ms.
Note that the phase change is 90°, thus the time required to change the phase by 90° is
t = 2.9 * (90 / 360)
t = 2.9 * 0.25
t = 0.725 ms
The phase difference at a particular instance 4.4 cm apart is
= (4.4 / 152) * 360
= 0.02895 * 360
= 10.422°
a) 152 cm
b) 0.725 ms
c) 10°
a) The wavelength should be 152 cm.
b) The time taken required should be 0.725 ms.
c) The phase difference (in degrees) should be 10°.
Calculation of the wavelength, time taken:
Since
Frequency of the wave, f = 524 Hz
Speed of the wave, v = 345 m/s
Now
The relation for wavelength should be
λ = f/v
λ = 524 / 345
λ = 1.52 m or 152 cm
b.
Now
T = 1/v
T = 0.0029 s
T = 2.9 ms.
Now
t = 2.9 * (90 / 360)
t = 2.9 * 0.25
t = 0.725 ms
c. The phase difference at a particular instance 4.4 cm apart is
= (4.4 / 152) * 360
= 0.02895 * 360
= 10.422°
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