**Physics Practicals Class 12**

# AC Sonometer

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### About Simulation

- This simulation will give an entire idea about the sonometer experiment, including the resonance and frequency of AC mains.
- You will be able to relate the tension, linear density, and resonating length of the wire.
- You will understand the relationship between the frequency of AC current and the resonating length of the wire.
- This virtual lab simulation provides a very immersive environment and gives you a real-life experience while conducting or performing experiments.
- All the experiment steps and procedures, like measuring the frequency of the AC sonometer, noting down the readings, plotting the graph, etc., and many more, are highly interactive and have been simulated in a very similar manner as you do in a physics lab.

- It is one of the important class 12 physics practicals that you can learn in our virtual lab.
- This will help learners to better prepare for various competitive exams such as IIT-JEE (JEE Main & Advanced), NEET, and Olympiads.

### Simulation Details

Description

A sonometer is an apparatus used to study the transverse vibration of a stretch string. It demonstrates the relationship between the resonant length, frequency of vibration, tension, and mass per unit length of the wire.

When the resonance occurs, the fundamental frequency (𝑛) of vibrations of a stretched string is fixed at two ends by the wedges.$$n=\frac{1}{2 l} \sqrt{\frac{T}{m}}$$

Here, 𝑙 is the length of the vibrating string (resonant length), 𝑇 is tension in the wire, 𝑚 is mass per unit length of the wire.

The attractive force experienced by the wire is twice on each cycle of the magnetic field of the electromagnet. $$ \Rightarrow f=\frac{n}{2}=\frac{1}{4 l} \sqrt{\frac{T}{m}}$$

$$ \Rightarrow l^2=\frac{1}{4 n^2 m} \times T$$

A graph between 𝑇 (taken on x-axis) and 𝑙^{2}(taken on y-axis) is to be a straight line.

$$\text { Slope }=\frac{1}{4 n^2 m}$$

$$n=\frac{1}{2} \frac{1}{\sqrt{m \times \text { slope }}}$$

The frequency of the alternating current can be determined using the value of the slope. $$f=\frac{n}{2}=\frac{1}{4} \frac{1}{\sqrt{m \times \text { slope }}}$$

### Requirements for this Science Experiment

⦁ Sonometer ⦁ Wedges ⦁ Step-down Transformer ⦁ Weight Hanger ⦁ Electromagnet ⦁ Slotted Weights

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