Question

Which of the following is not the law of stretched string?

[$n,l,T$ and $m$ are frequency, length, tension in string and linear mass density, respectively.]

• A. $n\propto \sqrt{T}$
• B. $n\propto l$
• C. $n\propto \frac{1}{\sqrt{\mu }}$
• D. Both (a) and (b)

Answer 1

The correct option is B

$n\propto l$

Correct option is B: $n\propto l$

Explanation:

There are main three laws for stretch of string:

1. Law of length: The fundamental frequency $\left(n\right)$ is inversely proportional to length $\left(l\right)$. $n\propto \frac{1}{l}$
2. Law of tension: The fundamental frequency $\left(n\right)$ is directly proportional to square root of tension. $n\propto \sqrt{T}$
3. Law of mass: The fundamental frequency $\left(n\right)$ is inversely proportional to the square root of linear mass density,. $n\propto \frac{1}{\sqrt{\mu }}$

Hence, option B is incorrect relation.