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Copper of fixed volume V is drawn into wire of length l.When this wire is subjected force F, the extension produced in the wire is ∆l. Which of the following graphs is a straight line?
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Copper of fixed volume V is drawn into wire of length l.When this wire...
Copper Wire Extension Experiment


Introduction


Copper wire is a commonly used material in various industries. It has excellent electrical conductivity and is easy to shape into different forms. In this experiment, we will study the extension produced in a copper wire when it is subjected to a force.

Experimental Setup


The experimental setup consists of the following components:


  • Copper wire of fixed volume V

  • A force sensor to measure the force F

  • A ruler to measure the length l of the wire



Procedure


The procedure for the experiment is as follows:


  1. Cut a piece of copper wire of length l from the copper of fixed volume V

  2. Attach one end of the wire to the force sensor and the other end to a fixed point

  3. Apply a force F to the wire using the force sensor

  4. Measure the extension produced in the wire (∆l)

  5. Repeat steps 3 and 4 for different values of force F



Results


The results of the experiment can be plotted on a graph of force F versus extension ∆l. The graph is expected to be a straight line.

Explanation


The extension produced in the wire when a force is applied can be explained by Hooke's law, which states that the extension produced in an elastic material is directly proportional to the applied force. Mathematically, this can be expressed as:

F = k∆l

where F is the applied force, ∆l is the extension produced in the wire, and k is the spring constant of the wire.

Since copper wire is an elastic material, we can assume that Hooke's law holds true for it. Therefore, the graph of force F versus extension ∆l is expected to be a straight line, since the relationship between the two variables is linear.

Conclusion


In conclusion, the graph of force F versus extension ∆l in a copper wire extension experiment is expected to be a straight line, based on Hooke's law. This experiment can be used to study the properties of copper wire and its behavior when subjected to a force.
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Copper of fixed volume V is drawn into wire of length l.When this wire...
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Copper of fixed volume V is drawn into wire of length l.When this wire is subjected force F, the extension produced in the wire is ∆l. Which of the following graphs is a straight line?
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