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  • Can someone explain If you step up the seventh harmonic on a string fixed at both ends, how many nodes and antinodes are set up in it

If you step up the seventh harmonic on a string fixed at both ends, how many nodes and antinodes are set up in it

  • Option 1)

    8, 7

  • Option 2)

    7, 7

  • Option 3)

    8, 9

  • Option 4)

    9, 8

 

Answers (1)

best_answer

7th harmonic means 7 loops

In one loop [ 2nodes , 1 antinodes]

so in 7 loop 

8 nodes and 7 antinodes will be there

 

Node in standing wave -

The position at which amplitude of oscillation has zero value are called nodes.

- wherein

At nodes

\sin kx= 0\\

kx= 0,\pi ,2\pi ........n\pi

 

 


Option 1)

8, 7

This is correct

Option 2)

7, 7

This is incorrect

Option 3)

8, 9

This is incorrect

Option 4)

9, 8

This is incorrect

Posted by

divya.saini

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