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NEET PHYSICSEasy

The ratio of the magnitude of the magnetic field and electric field intensity of a plane electromagnetic wave in free space of permeability μ0\mu_0 and permittivity ε0\varepsilon_0 is: (Given that c=c= velocity of light in free space)

A

cc

B

1c\frac{1}{c}

C

cμ0ε0\frac{c}{\sqrt{\mu_0\varepsilon_0}}

D

μ0ε0c\frac{\sqrt{\mu_0\varepsilon_0}}{c}

Step-by-Step Solution

  1. Relationship between E and B: In a plane electromagnetic wave propagating in free space, the ratio of the magnitude of the electric field (E0E_0) to the magnitude of the magnetic field (B0B_0) is equal to the speed of light (cc). c=E0B0c = \frac{E_0}{B_0} (Reference: NCERT Class 12, Physics Part I, Chapter 8, Section 8.3).
  2. Ratio Asked: The question asks for the ratio of the magnetic field to the electric field (B0E0\frac{B_0}{E_0}).
  3. Calculation: Rearranging the standard formula: B0E0=1c\frac{B_0}{E_0} = \frac{1}{c}
  4. Additional Context: Since the speed of light is also defined as c=1μ0ε0c = \frac{1}{\sqrt{\mu_0 \varepsilon_0}}, the ratio could also be expressed as μ0ε0\sqrt{\mu_0 \varepsilon_0}, but 1c\frac{1}{c} is the option provided.
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