Which of the following equations correctly represents a travelling wave having wavelength \lambda=4.0 {\cm}, frequency {\v}=100 {\Hz} and travelling in positive x-axis direction? [30-Jun-2022-Shift-1]

Correct Answer is : y=Asinπ[(0.5cm−1)x−(200s−1)t]

y=A \sin [(0.50 \pi c m^{-1}) x-(100 \pi s^{-1}) t]

y=A \sin 2 \pi[(0.25 {\cm}^{-1}) x-(50 s^{-1}) t]

y=A \sin [(\frac{2 \pi}{4} c m^{-1}) x-(\frac{2 \pi}{100} s^{-1}) t]

y=A \sin \pi[(0.5 {\cm}^{-1}) x-(200 {\s}^{-1}) t]

JEE Main 30 June 2022 Shift 1 Solved Paper

Section: Physics

Question : 42 of 90

Marks: +1, -0

Which of the following equations correctly represents a travelling wave having wavelength λ=4.0‌cm, frequency v=100‌Hz and travelling in positive x-axis direction?

[30-Jun-2022-Shift-1]

y=A‌sin[(0.50πcm−1)x−(100πs−1)t]
y=A‌sin‌2‌π[(0.25cm−1)x−(50s−1)t]
y=A‌sin[(‌
2π
4
cm−1)x−(‌
2π
100
s−1)t]
y=A‌sin‌π[(0.5cm−1)x−(200s−1)t]

Validate

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