The following four wires are made of same material which of these will have the latest extension when the same tension is applied. a) l=50cm,d=0.5mm b) l=100cm,d=1mm c) l=200cm,d=2mm d) l=300cm,d=3mm
Hello,
Using Hook'e law Y= ( FL ) / ( A ΔL ) where A=4πD^2
ΔL= (K*L) / D^2 where K=constant
For wire A : L/D^2 = 50/(0.05)^2 =20000
For wire B : L/D^2 = 100/(0.1)^2=10000
For wire C : L/D^2 = 200/(0.2)^2=5000
For wire D : L/D^2 = 300/(0.3)^2=3333.33
Therefore A has large extension
I hope your question has been answered properly.
All the best!
Hi student,
The correct answer is a) l=50cm,d=0.5mm because the extension depends upon the ratio of length and area ( L / A ) or L / D^2.
According to this formula or ratio, the ratio comes highest when l=50cm,d=0.5mm as 200.
Feel free to ask doubts in the Comment Section.
I hope this information helps you.
Good Luck!
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