what will be the young's modulus of copper wire pf length 0.15 m and radius 0.2 cm
youngs modulus is a property of the material, not she size or shape.
young's modulus for copper is about 117GPa
To find the Young's modulus of a copper wire, you need to know the stress and strain applied to the wire.
The equation for Young's modulus (E) is:
E = (stress / strain)
where stress is the force applied to the wire divided by its cross-sectional area, and strain is the change in length of the wire divided by its original length.
First, let's convert the measurements to the appropriate units:
Length = 0.15 m
Radius = 0.2 cm
To calculate the cross-sectional area (A) of the wire, we can use the formula:
A = π * r^2
where r is the radius.
Convert the radius to meters:
Radius = 0.2 cm = 0.2 * 0.01 m = 0.002 m
Calculate the cross-sectional area:
A = π * (0.002)^2 ≈ 0.00001257 m^2
Now, we need to determine the stress applied to the wire. However, you haven't provided any information regarding the force or tension applied to the wire, so we cannot determine the stress without that information.
If you have the force or tension applied to the wire, divide it by the cross-sectional area to find the stress. Once you have the stress and strain, you can plug them into the equation E = (stress / strain) to find the Young's modulus of the copper wire.