Question

State the formula for the velocity of transverse waves on stretched wire and obtain an expression for fundamental frequency of vibration of stretched string.

Answer 1

Factors affecting frequency:

⇒ The frequency is directly proportional to the square root of tension.

⇒ The frequency is inversely proportional to the radius .

⇒ The frequency is inversely proportional to the density of the string.

The frequency can be increased by increasing tension , decreasing radius and density.

The frequency can be decreased by decreasing tension , increasing radius and density.

Formula of frequency:

$\mathsf{F=\frac{1}{2l}\frac{\sqrt{T}}{r^2d}}$

Formula of velocity :

$\mathsf{V=f\lambda}$

f = frequency .

v = velocity .

λ = wavelength.

Answer 2

Answer:

⇒ The frequency is directly proportional to the square root of tension.

⇒ The frequency is inversely proportional to the radius .

⇒ The frequency is inversely proportional to the density of the string.

The frequency can be increased by increasing tension , decreasing radius and density.

The frequency can be decreased by decreasing tension , increasing radius and density.

Formula of frequency:

\mathsf{F=\frac{1}{2l}\frac{\sqrt{T}}{r^2d}}

ANSWER