Question
The equation y = A sin2 (kx − ωt) represents a wave motion with
Answer: Option B
:
B
y=Asin2(kx−ωt)
This is not ideal equation of wave we don't havesin2θ in ideal equation so let's remove the square.
Use trigonometry
cos2θ=cos2θ−sin2θ
=1−2sin2θ
sin2θ=1−cos2θ2
y=A{1−cos2(kx−wt)2}2
y=A2−A2cos(2kx−2ωt)
y′=(y−A2)=−A2cos(2kx−2ωt)
So amplitude =−A2
angular frequency(ω′)=2ω
frequency(f)=ω2π=2ω2π=ωπ
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:
B
y=Asin2(kx−ωt)
This is not ideal equation of wave we don't havesin2θ in ideal equation so let's remove the square.
Use trigonometry
cos2θ=cos2θ−sin2θ
=1−2sin2θ
sin2θ=1−cos2θ2
y=A{1−cos2(kx−wt)2}2
y=A2−A2cos(2kx−2ωt)
y′=(y−A2)=−A2cos(2kx−2ωt)
So amplitude =−A2
angular frequency(ω′)=2ω
frequency(f)=ω2π=2ω2π=ωπ
Was this answer helpful ?
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