Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectric Current in Conductors
A wire with a length of 1 m and a radius of 0.1 mm possesses a resistance of 100 . Determine the resistivity of the material.
Options
- A10⁻⁶ m
- B10⁻⁴ m
- C10⁻⁸ m
- D10⁻⁵ m
Correct answer
A. 10⁻⁶ m
Step-by-step solution
Given, length of the wire, l = 1 m Radius of the wire, r = 0.1 mm = 10⁻⁴ m Resistance of the wire, R = 100 The cross-sectional area of the wire is A = r^2 = (10⁻⁴)^2 = 10⁻⁸ m ^2 Using the formula for resistance, R = l A The resistivity of the material is = R A l Substituting the given values, we get = 100 10⁻⁸ 1 = 10⁻⁶ m