Question

A transverse standing waves is produced between two fixed points. Find out the ratio of the sixth harmonic frequency to the third harmonic frequency?

• A. $\frac{1}{2}$
• B. $\frac{1}{\sqrt{2}}$
• C. $2$
• D. $2\sqrt{2}$
• E. $4$

Answer 1

The correct option is C $2$

We know that the n th harmonic frequency is equal to the fundamental frequency $\left(f_1\right)$.

So, $f_6=6f_1$ and $f_3=3f_1$

Thus, $\frac{f_6}{f_3}=\frac{6f_1}{3f_1}=2$