Question

Which of the following is not the law of stretched string? (n, $l$, T and m are frequency of vibration, length of vibrating string, tension in string and linear mass density respectively.)

• A. $n\alpha \frac{1}{\sqrt{T}}$
• B. $n\alpha \frac{1}{l}$
• C. $n\alpha \frac{1}{m}$
• D. All the above

Answer 1

The correct option is A $n\alpha \frac{1}{\sqrt{T}}$

The frequency of vibration depends on two factor:

(1) Law of length:- The frequency of vibration in string is inversely proportional to the length of the string,

$n\propto \frac{1}{l}$

(2) Law of linear mass density:- The frequency of vibration is inversely proportional to the root square of linear mass density,

$n\propto \frac{1}{\sqrt{m}}$

(3) Law of tension:- The frequency of vibration is directly proportional to the root square of Tension,

$n\propto \sqrt{T}$

From the above discussion, the correct option is A.