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Question

Physics Question on Electromagnetic waves

Light is an electromagnetic wave. Its speed in vacuum is given by the expression

A

μ0ε0\sqrt{\mu_{0}\varepsilon_{0}}

B

μ0ε0\sqrt{\frac{\mu_{0}}{\varepsilon _{0}}}

C

ε0μ0\sqrt{\frac{\varepsilon_{0}}{\mu_{0}}}

D

1μ0ε0\frac{1}{\sqrt{\mu_{0} \varepsilon_{0}}}

Answer

1μ0ε0\frac{1}{\sqrt{\mu_{0} \varepsilon_{0}}}

Explanation

Solution

μ0=4π×107WbA1m1\mu_{0}=4 \pi \times 10^{-7} Wb A ^{-1} m ^{-1}
ε0=8.85×1012Nm2C2\varepsilon_{0} =8.85 \times 10^{-12} \frac{ N - m ^{2}}{ C ^{2}}
So, c=1μ0ε0=3×108m/sc =\frac{1}{\sqrt{\mu_{0} \varepsilon_{0}}}=3 \times 10^{8}\, m / s