To determine Young's modulus of elasticity of the material of a given wire.

Sure, here are the steps to determine Young's modulus of elasticity of the material of a given wire:

1. Measure the original length (L) of the wire using a meter rule.

2. Hang the wire vertically and attach a marker to the bottom of the wire.

3. Measure the diameter (d) of the wire at various points using a micrometer screw gauge and calculate the average to get the accurate diameter.

4. Calculate the original cross-sectional area (A) of the wire using the formula A = π(d/2)².

5. Add a small load (F) to the wire and allow the wire to stretch.

6. Measure the new length of the wire and calculate the extension (∆L) by subtracting the original length from the new length.

7. Repeat steps 5 and 6 for different loads and record the results.

8. Plot a graph of load (F) against extension (∆L).

9. The slope of the graph gives the force constant (k) of the wire.

10. Use the formula for Young's modulus (E) which is E = FL / A∆L where F is the force applied, L is the original length, A is the cross-sectional area and ∆L is the extension of the wire.

11. Substitute the values into the formula to calculate Young's modulus.

Remember to take precautions while performing the experiment to avoid errors. For instance, ensure the wire is not already stretched before you start the experiment and avoid parallax error while reading measurements.