Current Electricity Charging Discharging Of Capacitors Question 338

Question: When a piece of aluminium wire of finite length is drawn through a series of dies to reduce its diameter to half its original value, its resistance will become

[NCERT 1974; AIIMS 1997; MH CET 2000; UPSEAT 2001; CBSE PMT 2002]

Options:

A) Two times

B) Four times

C) Eight times

D) Sixteen times

Show Answer

Answer:

Correct Answer: D

Solution:

In stretching of wire $ R\propto \frac{1}{r^{4}} $