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JEE Mains · Physics · STD 12 - 5. Magnetism and matter

The earth's magnetic field lines resemble that of a dipole at the centre of the earth. If the magnetic moment of this dipole is close to \(8 \times 10^{22}\, Am^2\), the value of earth 's magnetic field near the equator is close to....\(Gauss\) (radius of the earth \(= 6.4 \times 10^6\, m\))

  1. A \(0.6\)
  2. B \(1.2\)
  3. C \(1.8\)
  4. D \(0.32\)
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Answer & Solution

Correct Answer

(A) \(0.6\)

Step-by-step Solution

Detailed explanation

Gven \(M=8 \times 10^{22}\, \mathrm{Am}^{2}\) \(\mathrm{d}=\mathrm{R}_{\mathrm{e}}=6.4 \times 10^{6}\, \mathrm{m}\) Earth's magnetic field, \(\mathrm{B}=\frac{\mu_{0}}{4 \pi} \cdot \frac{2 \mathrm{M}}{\mathrm{d}^{3}}\)…
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