Sound WavesHard
Question
A wave equation which gives the displacement along the y-direction is given by :
y = 10-4 sin (60t + 2x)
where x and y are in meters and t is time in secinds. This represents a wave
y = 10-4 sin (60t + 2x)
where x and y are in meters and t is time in secinds. This represents a wave
Options
A.travelling with a velocity of 30 m/s in the negative x-direction
B.of wavelength π m
C.of frequency 30/ π Hz
D.of amplitude 10-1 m
Solution
y = 10-1 sin (60t + 2x)
A = 10-4 m, ω = 60 rad/s, k = 2m-1
Speed of wave, v =
= 30 m/s
Frequency
Wavelength λ =
= πm
Further, 60 t and 2x are of same sign. Therefore, the wave should travel in negative x-direction.
∴ All the options are correct.
A = 10-4 m, ω = 60 rad/s, k = 2m-1
Speed of wave, v =
= 30 m/sFrequency
Wavelength λ =
= πmFurther, 60 t and 2x are of same sign. Therefore, the wave should travel in negative x-direction.
∴ All the options are correct.
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