How to use a sonometer to determine the frequency of Tuning fork-very important

To use a sonometer to determine the frequency of tuning fork

How to use a sonometer to determine the frequency of Tuning fork-veryimportant

OBJECT:- To use a sonometer to determine the frequency of a given tuning fork.

(A) APPARATUS REQUIRED

1. A sonometer
2. Tuning fork
3. Rubber pad
4. Kilogram weights
5. Micrometer screw gauge

(B) THEORY

The fundamental frequency of vibration of stretched spring is given by,

$$f=\frac1{2L}\sqrt{\frac T\mu}$$

$$f=\frac1{2L}\sqrt{\frac T{m/l}}$$

$$f=\frac1{2L}\sqrt{\frac{T\times l}m}$$

$$f=\frac1{2L}\sqrt{\frac{T\times l}{\rho\times v}}$$

$$f=\frac1{2L}\sqrt{\frac{T\times l}{\rho\times A\times l}}$$

$$f=\frac1{2L}\sqrt{\frac{T\times4}{\pi d^2}}$$

Use sonometer to determine the frequency of tuning fork

Where,

T=tension in the wire.

l=resonating length of the wire.

ρ=density of the material of the wire.

d=diameter of the material of the wire.

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(C) OBSERVATION:-

1. Frequency of the tunning fork=319Hz.
2. The density of the material of the wire(ρ)=8890kg\m^3
3. Diameter of the wire(d)=0.488mm=4.8*10^(-4)m

OBSERVATION TABLE

No. of obs	Load(m) in kg	Tension (t=mg) in	Resonating length ‘L’ in ‘m’	$$f=\frac1{2l}\sqrt{\frac{T\times4}{\rho\times\pi d^2}}$$
1)	1	10	0.126	312.742
2)	1.5	15	0.153	315.436
3)	2	20	0.174	320.275
4)	2.5	25	0.19	327.924

Mean

1276.377

319.04

(D) CONCLUSION:-

Hence, by using the sonometer, we can determine the frequency of the given tuning fork.

(E) RESULT:-

Hence, the frequency of the given tuning fork was found to be 319.04Hz.

(F) PRECAUTIONS:-

1. Wires should not be plucked with nails.
2. The fork should be gently stroked on a rubber pad.
3. After the end of the experiment, do not leave the wire in a stretched condition.
4. The weight should be put below the exact limit. Being overweight may cross the elastic limit.

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