Key relationship
ΔL=FL/(YA); A=πd²/4; Y=FL/(AΔL).
Physics · Practical apparatus
Young modulus wire apparatus
Use a long thin wire to make elastic extension measurable. Diameter enters as a square, so its measurement strongly affects the inferred modulus.
Open the interactive experiment →Young modulus wire apparatus
கம்பியின் நீட்சி FL/(YA). விட்டப் பிழை பரப்பில் வர்க்கமாக நுழைவதால் கவனமான விட்ட அளவீடு தேவை.
Key notes, relationships and model limits
Practical tip
Use a long thin wire to make elastic extension measurable. Diameter enters as a square, so its measurement strongly affects the inferred modulus.
Common trap
Wire area is proportional to diameter squared. Confusing diameter with radius creates a factor-of-four area error.
Model limits
uniform wire under linear elasticity below yield; gauge reads extension relative to initial taut condition.
What you will learn
Adjust young modulus wire apparatus apparatus, observe its reading and derive the indicated physical quantity.
Try the experiment
Try both scenarios, change one control, and predict the result before checking the graph and readouts.
Think of it this way
Change one input while keeping the others fixed, as you would in a controlled experiment.
Worked example
For 1 kg, L=2 m, d=0.5 mm and Y=200 GPa, extension≈0.500 mm.
Why this matters
The model connects young modulus wire apparatus with an observable reading. Check the equation and assumptions before applying it.
Before you start
SI units · algebra · graph reading
Check your understanding
Doubling wire diameter at fixed load changes extension to?
- One half of the original extension.
- One quarter of the original extension.
- Twice the original extension.
Read the explanation
One quarter of the original extension.
Course connection: Virtual apparatus preparation. Check exact board/exam membership in the syllabus sources. Physical practical work remains necessary.