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# Solve it, - Oscillations and Waves - JEE Main-6

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)

$180\:m/s,120\:HZ$

Views

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

$\frac{V}{2L}=80$

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

$=320\:m/s$

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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