Target Exam

CUET

Subject

Physics

Chapter

Magnetism and Matter

Question:

The magnetisation at the centre of a bar magnet (magnetic length 10 cm), having pole strength 6.3 A m, and area of cross-section $0.70\, cm^2$ is

Options:

$1.1 × 10^{-5} A m^{-1}$

$9.0 × 10^4 A m^{-1}$

$9.0 × 10^3 A m^{-1}$

$9.0 × 10^{-4} A m^{-1}$

Correct Answer:

$9.0 × 10^4 A m^{-1}$

Explanation:

The correct answer is Option (2) → $9.0 × 10^4 A m^{-1}$

Given:

Magnetic length, $l = 10\,cm = 0.10\,m$

Pole strength, $m = 6.3\,A·m$

Area of cross-section, $A = 0.70\,cm^{2} = 0.70 \times 10^{-4}\,m^{2} = 7.0 \times 10^{-5}\,m^{2}$

Magnetic moment, $μ = m \times l$

Volume of magnet, $V = A \times l$

Magnetisation, $M = \frac{μ}{V} = \frac{m \times l}{A \times l} = \frac{m}{A}$

Substitute values:

$M = \frac{6.3}{7.0 \times 10^{-5}}$

$M = 9.0 \times 10^{4}\,A/m$

Final Answer: $M = 9.0 \times 10^{4}\,A/m$