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Electromagnetic Waves question

2022 · 28 Jun · Shift 2 · Q64
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  5. /2022 · 28 Jun · Shift 2 · Q64

Electromagnetic Waves question

2022 · 28 Jun · Shift 2 · Q64

JEE MainPhysicsElectromagnetic WavesMCQ+4 / −1
An EM wave propagating in x-direction has a wavelength of 8 mm. The electric field vibrating y-direction has maximum magnitude of 60 Vm −-− 1. Choose the correct equations for electric and magnetic fields if the EM wave is propagating in vacuum :
  1. A
    Ey=60sin⁡[π4×103(x−3×108t)]j^  Vm−1Bz=2sin⁡[π4×103(x−3×108t)]k^  T{E_y} = 60\sin \left[ {{\pi \over 4} \times {{10}^3}(x - 3 \times {{10}^8}t)} \right]\widehat j\,\,V{m^{ - 1}}{B_z} = 2\sin \left[ {{\pi \over 4} \times {{10}^3}(x - 3 \times {{10}^8}t)} \right]\widehat k\,\,TEy​=60sin[4π​×103(x−3×108t)]j​Vm−1Bz​=2sin[4π​×103(x−3×108t)]kT
  2. B
    Ey=60sin⁡[π4×103(x−3×108t)]j^  Vm−1Bz=2×10−7sin⁡[π4×103(x−3×108t)]k^  T{E_y} = 60\sin \left[ {{\pi \over 4} \times {{10}^3}(x - 3 \times {{10}^8}t)} \right]\widehat j\,\,V{m^{ - 1}}{B_z} = 2 \times {10^{ - 7}}\sin \left[ {{\pi \over 4} \times {{10}^3}(x - 3 \times {{10}^8}t)} \right]\widehat k\,\,TEy​=60sin[4π​×103(x−3×108t)]j​Vm−1Bz​=2×10−7sin[4π​×103(x−3×108t)]kT
  3. C
    Ey=2×10−7sin⁡[π4×103(x−3×108t)]j^  Vm−1Bz=60sin⁡[π4×103(x−3×108t)]k^  T{E_y} = 2 \times {10^{ - 7}}\sin \left[ {{\pi \over 4} \times {{10}^3}(x - 3 \times {{10}^8}t)} \right]\widehat j\,\,V{m^{ - 1}}{B_z} = 60\sin \left[ {{\pi \over 4} \times {{10}^3}(x - 3 \times {{10}^8}t)} \right]\widehat k\,\,TEy​=2×10−7sin[4π​×103(x−3×108t)]j​Vm−1Bz​=60sin[4π​×103(x−3×108t)]kT
  4. D
    Ey=2×10−7sin⁡[π4×104(x−4×108t)]j^  Vm−1Bz=60sin⁡[π4×104(x−4×108t)]k^  T{E_y} = 2 \times {10^{ - 7}}\sin \left[ {{\pi \over 4} \times {{10}^4}(x - 4 \times {{10}^8}t)} \right]\widehat j\,\,V{m^{ - 1}}{B_z} = 60\sin \left[ {{\pi \over 4} \times {{10}^4}(x - 4 \times {{10}^8}t)} \right]\widehat k\,\,TEy​=2×10−7sin[4π​×104(x−4×108t)]j​Vm−1Bz​=60sin[4π​×104(x−4×108t)]kT
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