When a stationary wave is formed its frequency is


Asked by admin @ in Physics viewed by 289 People


When a stationary wave is formed then its frequency isplease answer fast​

Answered by admin @



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

.


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