State the physical quantities one has to measure in order to determine the young's modulus of a wire?
force, area, and strain (changelength/length)
What does changelength/length mean
The correct answer is:
Force, applied to the wire.
Area, cross-sectional area of the wire.
Extension of wire: the change in length of the wire under the action of the applied force.
Length of the wire: the initial length of the wire before any force is applied.
B). These physical quantities are:
Length of wire, extension of wire, load used, and diameter of wire.
Length of wire, extension of wire and load used
Force,area, extension of wire,length
To determine Young's modulus of a wire, you need to measure the following physical quantities:
1. Length (L): Measure the length of the wire using a ruler or a measuring tape. This is typically measured in meters (m).
2. Diameter (d): Measure the diameter of the wire using a Vernier caliper or a micrometer. Make sure to measure the diameter at multiple points along the length to account for any variations. This is typically measured in meters (m).
3. Load applied (F): Apply a known force to the wire and measure it using a force sensor or a load cell. This can be done by hanging weights or using a mechanical device. The force should be in Newtons (N).
4. Extension (ΔL): As the applied force stretches the wire, measure the change in length of the wire. This can be done using a displacement sensor or a ruler. The extension should be measured in meters (m).
By measuring these four physical quantities, you can calculate Young's modulus (E) using the formula:
E = (F/A) / (ΔL/L)
Where:
- F is the applied force in Newtons (N)
- A is the cross-sectional area of the wire in square meters (m^2), which can be calculated using the formula A = π(d/2)^2
- ΔL is the change in length of the wire in meters (m)
- L is the original length of the wire in meters (m)