વિષુવવૃત પાસે પૃથ્વીનું ચુંબકીયક્ષેત્ર લગભગ \(4 \times 10^{-5}\, T\) જેટલું છે.જો પૃથ્વીની ત્રિજ્યા \(6.4 \times 10^6\, m\) જેટલી હોય તો પૃથ્વીની ચુંબકીય મોમેન્ટ ક્યાં ક્રમની હશે?

A \({10^{23}}\,A\,{m^2}\)
B \({10^{20}}\,A\,{m^2}\)
C \({10^{16}}\,A\,{m^2}\)
D \({10^{10}}\,A\,{m^2}\)

Verified Solution

Answer & Solution

Correct Answer

(A) \({10^{23}}\,A\,{m^2}\)

Step-by-step Solution

Detailed explanation

Given, \(B=4 \times 10^{-5} \,\mathrm{T}\) \(\mathrm{R}_{\mathrm{E}}=6.4 \times 10^{6}\, \mathrm{m}\) Dipole moment of the earth \(\mathrm{M}=?\) \(B = \frac{{{\mu _0}M}}{{4\pi {d^3}}}\)…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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