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  • The fundamental frequency of the Standing wave in a string fixed at one end is?Option: 1 <img alt="\frac{v}{4L}" src="https://learn.careers360.com/la

The fundamental frequency of the Standing wave in a string fixed at one end is?

Option: 1

\frac{v}{4L}


Option: 2

\frac{v}{2L}


Option: 3

\frac{v}{L}


Option: 4

\frac{3v}{4L}


Answers (1)

best_answer

 

 

 

Standing wave in a string fixed at one end -

Standing wave in a string fixed at one end - 

In this case one end is fixed and the other end is free. In the fundamental mode, the free end is an antinode, the length of string 

                                                                                 L = \frac{\lambda }{4}

 

                                 

So, in the next mode- 

                                  L = \frac{3 \lambda }{4}

So, in general we can write the equation = 

                                L = \frac{n \lambda }{4}\ , \ n = 1,3,5 . . .

 

From this we can write the resonance frequency - 

                                                f_n = n\frac{v}{4L} = nf_1 \ ; n = 1,3,5,....

where,   f_1 = \frac{v}{4L}      (Fundamental frequency) 

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Posted by

Devendra Khairwa

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