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  • If E and B denote electric and magnetic fields respectively, which of the following is dimensionless?Option: 1 <img alt="\sqrt{\mu 0} \varepsi

If E and B denote electric and magnetic fields respectively,
which of the following is dimensionless?

Option: 1

\sqrt{\mu 0} \varepsilon 0 \mathrm{\frac{E}{B}}


Option: 2

{\mu 0} \varepsilon 0 \mathrm{\frac{E}{B}}


Option: 3

\mathrm{\mu \varepsilon_0\left(\frac{\mathrm{B}}{\mathrm{E}}\right)^2}


Option: 4

\mathrm{\frac{E}{\varepsilon_0} \frac{\mu}{B}}


Answers (1)

best_answer

Speed of light, \mathrm{c=\frac{1}{\sqrt{\mu_{0 E 0}}} ; \text { Also, } \frac{E}{B}=c}

Therefore, \mathrm{\sqrt{\mu_{0} \varepsilon_{0}} \frac{\mathrm{E}}{\mathrm{B}}} is dimensionless.

Posted by

SANGALDEEP SINGH

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