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Electromagnetic Waves question

2023 · Shift 2 · Q41
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  5. /2023 · Shift 2 · Q41

Electromagnetic Waves question

2023 · Shift 2 · Q41

JEE AdvancedPhysicsElectromagnetic WavesMultiple correct+4 / −2
The electric field associated with an electromagnetic wave propagating in a dielectric medium is given by E⃗=30(2x^+y^)sin⁡[2π(5×1014t−1073z)]Vm−1\vec{E}=30(2 \hat{x}+\hat{y}) \sin \left[2 \pi\left(5 \times 10^{14} t-\frac{10^7}{3} z\right)\right] \mathrm{Vm}^{-1}E=30(2x^+y^​)sin[2π(5×1014t−3107​z)]Vm−1. Which of the following option(s) is(are) correct? [Given: The speed of light in vacuum, c=3×108 m s−1c=3 \times 10^8 \mathrm{~m} \mathrm{~s}^{-1}c=3×108 m s−1 ]
  1. A
    Bx=−2×10−7sin⁡[2π(5×1014t−1073z)]Wbm−2B_x=-2 \times 10^{-7} \sin \left[2 \pi\left(5 \times 10^{14} t-\frac{10^7}{3} z\right)\right] \mathrm{Wb} \mathrm{m}^{-2}Bx​=−2×10−7sin[2π(5×1014t−3107​z)]Wbm−2.
  2. B
    By=2×10−7sin⁡[2π(5×1014t−1073z)]Wbm−2B_y=2 \times 10^{-7} \sin \left[2 \pi\left(5 \times 10^{14} t-\frac{10^7}{3} z\right)\right] \mathrm{Wb} \mathrm{m}^{-2}By​=2×10−7sin[2π(5×1014t−3107​z)]Wbm−2.
  3. C
    The wave is polarized in the xyx yxy-plane with polarization angle 30∘30^{\circ}30∘ with respect to the xxx-axis.
  4. D
    The refractive index of the medium is 2.
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