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NEET
Exam
NEET
Subject
Physics
Chapter
Electromagnetic Waves

NEET · Physics · Electromagnetic Waves

A plane electromagnetic wave travelling in vacuum has a magnetic...

A plane electromagnetic wave travelling in vacuum has a magnetic field amplitude of 3.0×10−8 T3.0 \times 10^{-8} \text{ T} and a wavelength of 600 nm600 \text{ nm}. The amplitude of the oscillating electric field is: (Speed of light in vacuum =3×108 m s−1= 3 \times 10^8 \text{ m s}^{-1})

Options

  1. A1.0×10−16 V m−11.0 \times 10^{-16} \text{ V m}^{-1}
  2. B9.0 V m−19.0 \text{ V m}^{-1}
  3. C1.8×10−14 V m−11.8 \times 10^{-14} \text{ V m}^{-1}
  4. D5.0×10−2 V m−15.0 \times 10^{-2} \text{ V m}^{-1}

Correct answer

B. 9.0 V m−19.0 \text{ V m}^{-1}

Step-by-step solution

Given:
Magnetic field amplitude, B0=3.0×10−8 TB_0 = 3.0 \times 10^{-8} \text{ T}
Speed of light, c=3×108 m s−1c = 3 \times 10^8 \text{ m s}^{-1}

The ratio of the amplitudes of the electric and magnetic fields in vacuum is equal to the speed of light, independent of the wavelength.

Using the relation c=E0B0c = \dfrac{E_0}{B_0}, we get:
E0=c×B0E_0 = c \times B_0
E0=(3×108 m s−1)×(3.0×10−8 T)E_0 = (3 \times 10^8 \text{ m s}^{-1}) \times (3.0 \times 10^{-8} \text{ T})
E0=9.0 V m−1E_0 = 9.0 \text{ V m}^{-1}

The wavelength data (600 nm600 \text{ nm}) is extraneous information and is not required for this calculation.

Answer: 9.0 V m−19.0 \text{ V m}^{-1}
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