A) \[\left( \sqrt{n},\frac{1}{\sqrt{n}} \right)\]
B) \[\left( \sqrt{n},\sqrt{n} \right)\]
C) \[\left( \frac{1}{\sqrt{n}},\frac{1}{\sqrt{n}} \right)\]
D) \[\left( \frac{1}{\sqrt{n}},\sqrt{n} \right)\]
Correct Answer: A
Solution :
The intensity of the wave remain unchanged So, \[\frac{{{B}^{2}}}{{{\mu }_{0}}}c=\frac{B_{1}^{2}}{\mu }v\] For a non-magnetic medium; \[\mu ={{\mu }_{0}},\] \[\frac{{{B}_{1}}}{B}=\sqrt{n}\Rightarrow \frac{B}{{{B}_{1}}}=\frac{1}{\sqrt{n}}\] ?.(1) Also, \[\frac{E}{B}=c\]and\[\frac{{{E}_{1}}}{{{B}_{1}}}=v\Rightarrow \frac{E}{{{E}_{1}}}\frac{{{B}_{1}}}{B}=\frac{c}{v}=n\] \[\Rightarrow \frac{E}{{{E}_{1}}}=\frac{n}{\sqrt{n}}=\sqrt{n}[Using\,(i)]\]
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