Question

If the tension is $10N$ and the linear mass density is $4g/m$. what is the fundamental frequency(in $Hz$)?

• A. $17$
• B. $25$
• C. $41$
• D. $12$

Answer 1

Answer: (D)

$12$

Distance between two consecutive nodes $x=18-16=2cm$
Wavelength of waves $\lambda =2x=2\times 2=4cm$
Velocity of waves $v=\sqrt{\frac{T}{\mu }}$
Given : $T=10N$ and $\mu =4g/m=4\times {10}^{-3}kg/m$
$⟹v=\sqrt{\frac{10}{4\times {10}^{-3}}}=50m/s$
Fundamental frequency ${\nu }_o=\frac{v}{\lambda }=\frac{50}{4}\approx 12Hz$