A) \[2\centerdot 5\times {{10}^{3}}A{{m}^{-1}}\]
B) \[2\centerdot 5\times {{10}^{5}}A{{m}^{-1}}\]
C) \[2\centerdot 0\times {{10}^{3}}A{{m}^{-1}}\]
D) \[2\centerdot 0\times {{10}^{5}}A{{m}^{-1}}\]
Correct Answer: B
Solution :
Here, n = 500 truns/ m \[I=1A,\,\,{{\mu }_{r}}=500\] Magnetisation intensity, H = nI \[=500{{m}^{-1}}\times 1\,A\,=\,500\,A\,{{m}^{-1}}\] As \[{{\mu }_{r}}=1+\chi \] or \[\chi =\left( {{\mu }_{r}}-1 \right)\] magnetisation, \[M={{\chi }_{m}}\] \[=\left( {{\mu }_{r}}-1 \right)H=\left( 500-1 \right)\times 500\,A\,{{m}^{-1}}\] \[=2\,.\,495\times {{10}^{5}}\,A\,{{m}^{-1}}\,\approx \,2\,.\,5\times {{10}^{5}}\,A\,{{m}^{-1}}\]
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