Wave motionEasy
Question
A wave is represented by the equation :
y = A sin (10π x + 15 πt + π/3)
where x is in meters and t is in seconds. The expression representes
y = A sin (10π x + 15 πt + π/3)
where x is in meters and t is in seconds. The expression representes
Options
A.a wave travelling in the positive x-direction with a velocity 1.5 m/s
B.a wave travelling in the negative x-direction with a velocity 1.5 m/s
C.a wave travelling in the negative x-direction with a wavelength 0.2 m.
D.a wave travelling in the positive x-direction with a wavelength 0.2 m.
Solution
ω = 15π, k = 10π
Speed of wave, v =
= 1.5 m/s
Wavelength of wave λ =
= 0.2 m
10πx and 15πt have the same sign. Therefore, wave is travelling in negative x-direction.
∴ Correct options are (b) and (c).
Speed of wave, v =
= 1.5 m/sWavelength of wave λ =
= 0.2 m10πx and 15πt have the same sign. Therefore, wave is travelling in negative x-direction.
∴ Correct options are (b) and (c).
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