What will be the Young modulus of elasticity if a wire is stretched to a double of its length?

Young’s modulus is equal to twice the elastic energy per unit volume.

When a wire of length L is stretched to double in length what will be the longitudinal strain produced in it?

Longitudinal Strain is ratio of change in length to original length. Wire is stretched to double it’s original length. Hence change in length = 2×L – L (where L is original length. )

Does Young’s modulus change with length?

No, Young’s modulus does not change with length. The reason is that if the length or diameter is increased the value of stress increases and consequently there will be an increase in expansion and the strain.

When a wire is stretched double its length?

As the length of wire gets doubled, the cross-sectional area will become half of its previous value because volume of wire remains constant. Hence, we can see that the new resistance is four times the previous resistance.

Does the modulus of elasticity changes if the length of wire is made doubled why?

If the length of a wire is made double and the diameter of the wire is made triple, it does not change the Young’s Modulus of the wire. The changes made will influence the stress on the wire for the same force applied and this will alter the strain that is witnessed.

How does Young’s modulus of a steel wire change if its diameter is doubled and length is made one third?

Nothing happens to Young’s modulus. If radius is doubled then area would increase 4 times. By definition Young’s modulus is stress divided by strain.

When a wire is stretched to three times Find strain?

Answer: When the wire is stretched to 3 times its original length, its cross section is also reduced to one third of what it was before. By using the above relation, we find the new resistance to be 3×3= 9 times of what it was before!

Is it possible to double the length of a metallic wire by applying a force over it?

Possible to double the length of metallic wire by apply in a force over it? No, it is not possible because elastic limit strain is only about 10-3 and wires actually break much before it is stretched to double the length.

When a wire is stretched to double its length Its radius is halved?

If length is doubled and radius is halved the resistance would increase by 8 times. Since R = P* L/A: since resistivity is constant, Length becomes 2L and area becomes 1/4 th. Therefore it is 8 times.

When the length of the wire gets doubled what will be the change in current?

If the length of the wire is doubled then the resistance of the wire will also double. Hence, the Current will decrease to one half.

What is the resistance when both the length and radius of the wire are doubled?

According to the question, the radius of the wire is doubled. Thus, the answer is (B). Note: We found the answer to be one-fourth as per this particular situation. But if the situation was to double the length, then the new resistance becomes four times of the original resistance.

How does Young’s modulus of a steel wire change if its diameter is doubled?

https://www.youtube.com/watch?v=EJf17eUuww4