when a stationary wave is formed then its frequency is
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Answers
Answer: This may help you
Explanation:
Let us consider a progressive wave of amplitude a , wavelength λ and frequency f=
T
1
travelling in the direction of X- axis whose equation is given by-
y
1
=asin(2π[
T
t
−
λ
x
])
This wave is reflected from a free end and it travels in the negative direction of X- axis with frequency f=
T
1
y
1
=asin(2π[
T
t
+
λ
x
])
According to principle of superposition
⇒y
1
+y
2
=asin(2π[
T
t
−
λ
x
])+asin(2π[
T
t
+
λ
x
])
⇒y
1
+y
2
=asin(
T
2πt
)cos(
λ
2πx
)
Here we can see the frequency of resultant wave is also f=
T
1
.
Answer:
Let us consider a progressive wave of amplitude a , wavelength λ and frequency f=T1 travelling in the direction of X- axis whose equation is given by-
y1=asin(2π[Tt−λx])
This wave is reflected from a free end and it travels in the negative direction of X- axis with frequency f=T1
y1=asin(2π[Tt+λx])
According to principle of superposition
⇒y1+y2=asin(2π[Tt−λx])+asin(2π[Tt+λx])
⇒y1+y2=asin(T2πt)cos(λ2πx)
Here we can see the frequency of resultant wave is also f=T1.
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