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Electromagnetic Waves question

2024 · 1 Feb · Shift 2 · Q75
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  5. /2024 · 1 Feb · Shift 2 · Q75

Electromagnetic Waves question

2024 · 1 Feb · Shift 2 · Q75

JEE MainPhysicsElectromagnetic WavesMCQ+4 / −1
If frequency of electromagnetic wave is 60 MHz60 \mathrm{~MHz}60 MHz and it travels in air along zzz direction then the corresponding electric and magnetic field vectors will be mutually perpendicular to each other and the wavelength of the wave (in m\mathrm{m}m ) is :
  1. A
    2.5
  2. B
    5
  3. C
    10
  4. D
    2
View written solutionFree

Correct answer: B

  1. Use the wave relation

    For an electromagnetic wave traveling in air (approximately same as vacuum), the speed is c=3×108 m/s.c = 3 \times 10^8\ \text{m/s}.c=3×108 m/s.

    The relation between speed, frequency, and wavelength is c=fλ.c = f\lambda.c=fλ.

  2. Given frequency

    f=60 MHz=60×106 Hz.f = 60\ \text{MHz} = 60 \times 10^6\ \text{Hz}.f=60 MHz=60×106 Hz.

  3. Calculate wavelength

    λ=cf=3×10860×106.\lambda = \frac{c}{f} = \frac{3 \times 10^8}{60 \times 10^6}.λ=fc​=60×1063×108​.

    Simplifying, λ=360×102=120×100=5 m.\lambda = \frac{3}{60} \times 10^2 = \frac{1}{20} \times 100 = 5\ \text{m}.λ=603​×102=201​×100=5 m.

  4. About the field vectors

    In an electromagnetic wave traveling along the zzz-direction, the electric field E⃗\vec EE and magnetic field B⃗\vec BB are both perpendicular to the direction of propagation and also perpendicular to each other.

  5. Check options

    • A: 2.52.52.5 m
    • B: 555 m
    • C: 101010 m
    • D: 222 m

    Hence, the correct option is B.

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