Length of a string tied to two rigid supports is  40 cm . Maximum length ( wavelength in cm ) of a stationary wave produced on it is

  • Option 1)

    20

  • Option 2)

    80

  • Option 3)

    40

  • Option 4)

    120

 

Answers (1)

As we learnt in

Speed of sinusoidal wave -

Wave Speed

\tfrac{dx}{dt}= V=\frac{\omega }{k}
 

- wherein

\omega = 2\pi \nu

K= \frac{2\pi }{\lambda }

 

 

 

\frac{\lambda _{max}}{2}= 40\Rightarrow \lambda _{max}= 80\: cm

Correct option is 2.


Option 1)

20

This is an incorrect option.

Option 2)

80

This is the correct option.

Option 3)

40

This is an incorrect option.

Option 4)

120

This is an incorrect option.

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