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Waves question

2022 · 30 Jun · Shift 1 · Q53
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Waves question

2022 · 30 Jun · Shift 1 · Q53

JEE MainPhysicsWavesMCQ+4 / −1
Which of the following equations correctly represents a travelling wave having wavelength λ\lambdaλ = 4.0 cm, frequency v = 100 Hz and travelling in positive x-axis direction?
  1. A
    y=Asin⁡[(0.50 π cm−1)x−(100 π s−1)t]y = A\sin [(0.50\,\pi \,c{m^{ - 1}})x - (100\,\pi \,{s^{ - 1}})t]y=Asin[(0.50πcm−1)x−(100πs−1)t]
  2. B
    y=Asin⁡  2π[(0.25  cm−1)x−(50 s−1)t]y = A\sin \,\,2\pi [(0.25\,\,c{m^{ - 1}})x - (50\,{s^{ - 1}})t]y=Asin2π[(0.25cm−1)x−(50s−1)t]
  3. C
    y=Asin⁡[(2π4 cm−1)x−(2π100 s−1)t]y = A\sin \left[ {\left( {{{2\pi } \over 4}\,c{m^{ - 1}}} \right)x - \left( {{{2\pi } \over {100}}\,{s^{ - 1}}} \right)t} \right]y=Asin[(42π​cm−1)x−(1002π​s−1)t]
  4. D
    y=Asin⁡ π[(0.5  cm−1)x−(200  s−1)t]y = A\sin \,\pi [(0.5\,\,c{m^{ - 1}})x - (200\,\,{s^{ - 1}})t]y=Asinπ[(0.5cm−1)x−(200s−1)t]
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