Question
A sinusoidal wave propagates along a string in figure (a) and (b). 'y' represents displacement of particle from the mean position. 'x' & 't' have usual meanings. Find:
1. Wavelength, frequency and speed of the wave
2. Maximum velocity and maximum acceleration of the particles
1. Wavelength, frequency and speed of the wave
2. Maximum velocity and maximum acceleration of the particles
Answer: Option C
:
C
From the y-t graph we can see the wave repeats itself on interval of 4s. So the time period is 4s. from the y-x graph we see that the distance between the points after which the wave repeats itself is 4m. Hence the wave length is 4m.
f=1T=14S−1=0.25s−1
v=λf=414=1ms−1
vpmax=Aω
=A×(2πf
=3××2π×0.25 [A=3 from y vst graph]
apmax=ω2A
=(2π×0.25)2×3
34π2=0.075π2mms−2
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:
C
From the y-t graph we can see the wave repeats itself on interval of 4s. So the time period is 4s. from the y-x graph we see that the distance between the points after which the wave repeats itself is 4m. Hence the wave length is 4m.
f=1T=14S−1=0.25s−1
v=λf=414=1ms−1
vpmax=Aω
=A×(2πf
=3××2π×0.25 [A=3 from y vst graph]
apmax=ω2A
=(2π×0.25)2×3
34π2=0.075π2mms−2
Was this answer helpful ?
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