JAMB Physics 1985 Question 41

Question 41

Current Electricity

A wire P has half the diameter and half the length of a wire Q of similar material. The ratio of the resistance of P to that of Q is

  1. A.8 : 1
  2. B.4 : 1
  3. C.2 : 1
  4. D.1 : 1
  5. E.1 : 4
Show the answer and explanation

Answer: C (2 : 1)

Explanation

R ∝ L/d². For P: (½)/(½)² = 2 times Q's resistance, so the ratio is 2 : 1.