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he resistance of a wire is 10 ohm. If it is streteched ten times, the resistance will readA) 1 ohm B) 10 ohm C) 100 ohm D) 1000ohm pls explain!THANKS!

6 months ago

Dear student

Aswe know

R = (rho) L/A

Now as L’ = 10 L

hence new resistance will be 10 times of previous one = 10 * 10 = 100
6 months ago

Let the resistivity of wire be p.
Let the length of wire be l.
Let the area of cross-section of wire be A.
Then the resistence of wire is given by R=p(l/A)

Assuming the wire to be cylindrical, the new length of wire br 10(l).
The voume of wire remains constant.
Let the new area of cross-section be A2.

Now,πr2h=volume of cylinder.
Also,πr2  =area
Thus area*length=volume.
A/q A*l=A2*(10 l)
A=10(A2)
A2=A/10
Thus new resistence R2= p(10l)/A2
R2=p(10l)/(A/10)
R2= p(100l)A
=100(pl/A)
Comparing it with original resistance  R=100R i.e. 100 ohm
6 months ago
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