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COMEDK · Physics · 20. Magnetic Properties of Matter

For a short magnet, the magnetic field on the axial line at a distance 10 cm from its centre is \(1.6 \mathrm{~m} \times 10^{-7} \mathrm{~T}\). What is the magnetic field on its equatorial line at the same distance 10 cm from its centre?

  1. A \(1.6 \times 10^{-7} T\)
  2. B \(0.8 \times 10^{-7} T\)
  3. C \(4.8 \times 10^{-7} T\)
  4. D \(3.2 \times 10^{-8} T\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(0.8 \times 10^{-7} T\)

Step-by-step Solution

Detailed explanation

The magnetic field \(B_{axial}\) on the axial line of a short magnetic dipole at a distance \(d\) is given by the formula \(B_{axial} = \dfrac{\mu_0}{4\pi} \dfrac{2M}{d^3}\). The magnetic field \(B_{equatorial}\) on the equatorial line of the same short magnetic dipole at the…