The magnetic susceptibility of a material of a rod is 299. Permeability of vacuum μ₀ is 4πx10⁻⁷ Hm⁻¹. Absolute permeability of the material of the rod is

Options

(a) 3771×10⁻⁷ Hm⁻¹
(b) 3771×10⁻⁵ Hm⁻¹
(c) 3771×10⁻⁶ Hm⁻¹
(d) 3771×10⁻⁸ Hm⁻¹

Correct Answer:

3771×10⁻⁷ Hm⁻¹

Explanation:

Then given, χ(m) = 299, μ₀ = 4π × 10⁻⁷ Hm, and μ = ?

We know that, μ = μ₀ [1 + χ(m)]

μ = 4π × 10⁻⁷ (1 + 299) = 4 × (22/7) × 10⁻⁷ × 300

= [2.6400 / 7] × 10⁻⁷

= 3771.4 × 10⁻⁷ Hm⁻¹ (or),

≃ 3771 × 10⁻⁷ Hm⁻¹