Question

Ans. Resistance.
Q.17. A given length of a wire is doubled of itself and this process is
repeated once again. By what factor does the resistance of the wire
changes?​

Answer 1

Answer:

Let the resistance of the wire be R.

Let L be the length of the wire.

When the wire is doubled , Then L will become L/2.

As length of the wire is reduced to  L/2, area increases by 2 times.

Again the process is repeated, hence L will become L/4As length of the wire reduced by L/4, area increases by 4 times.

so new reistance will be R/4

The new resistance of the wire will be effective resistance of the resistors in parallel.

1/Reff=1/R1+1/R2+1/R3+1/R4

=1/R/4+1/R/4+1/R/4+1/R/4=16/RReff=R/16Thus the resistance of the wire reduces by 16 times

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Explanation: