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

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

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

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

$=320\:m/s$

Option 1)

$180\:m/s,80\:HZ$

Option 2)

$320\:m/s,80\:HZ$

Option 3)

$320\:m/s,120\:HZ$

Option 4)

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

Exams
Articles
Questions