Question

Which of the following does the frequency of vibration of a string depend on?

• A. Its length
• B. its linear density
• C. tension of the string
• D. all the above

Answer 1

The correct option is D

all the above

Correct option is D: all the above

Explanation:

1. Frequency of the string $f=\frac{1}{2l}\sqrt{\frac{T}{m}}$ (where $l$ is the length, $T$ is the tension of the string and $m$ is the mass.).
2. Linear mass density $$\begin{gathered} {\rho }_i=\frac{Mass\left(m\right)}{Length\left(l\right)} \\ {\rho }_i\propto m \end{gathered}$$
3. From above, we can say that frequency of string depend upon length, tension and linear density of a string.
4. Hence, option D is correct.