A string 2.0\:m long and fixed at its ends is driven by a 240\:Hz  vibrator. The string vibrates in its third harmonic mode. The speed of the wave and its fundamental frequency is :

  • Option 1)

    180\:m/s,80\:HZ

  • Option 2)

    320\:m/s,80\:HZ

  • Option 3)

    320\:m/s,120\:HZ

  • Option 4)

    180\:m/s,120\:HZ

 

Answers (1)

Fundamental \:\:frequency =\frac{240}{3}=80\:Hz

\frac{V}{2L}=80

\Rightarrow V=80\times2L=80\times2\times2

=320\:m/s


Option 1)

180\:m/s,80\:HZ

Option 2)

320\:m/s,80\:HZ

Option 3)

320\:m/s,120\:HZ

Option 4)

180\:m/s,120\:HZ

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