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Equation y = 0.15\sin 5x\cos 300t describes a stationary wave. The wavelength of stationary wave is 

  • Option 1)

    0

  • Option 2)

    1.256 mtr

  • Option 3)

    2.512 mtr

  • Option 4)

    0.62 mtr

 

Answers (1)

best_answer

Compare with standard equation 

\frac{2\pi }{\lambda }= 5\Rightarrow \lambda = \frac{6.25}{5}= 1.256 mtr

 

Equation of stationary waves -

y_{1}= A\sin \left ( kx- \omega t \right )

y_{2}= A\sin \left ( kx+ \omega t \right )

 

- wherein

Resultant wave

y= \left ( 2A\sin kx.\cos \omega t \right )

 

 


Option 1)

0

This is incorrect

Option 2)

1.256 mtr

This is correct

Option 3)

2.512 mtr

This is incorrect

Option 4)

0.62 mtr

This is incorrect

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Aadil

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