A) \[1:{{n}^{2}}\]
B) \[{{n}^{1/2}}\]
C) \[n:1\]
D) None of these
Correct Answer: A
Solution :
[a] \[{{B}_{L}}=\frac{{{\mu }_{0}}I}{2\pi R}\] If the radius is R/n; the number of turns will be n. \[{{B}_{C}}=\frac{n{{\mu }_{0}}I}{2\pi (R/n)}={{n}^{2}}\,\frac{{{\mu }_{0}}I}{2\pi R}\] Hence, \[\frac{{{B}_{L}}}{{{B}_{C}}}=\frac{1}{{{n}^{2}}}\]
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