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NEET 2013
Exam
NEET
Year
2013
Subject
Physics
Chapter
Waves and Sound

NEET 2013 · Physics · Waves and Sound

A wave travelling in the positive x -direction having displacement...

A wave travelling in the positive xx-direction having displacement along yy-direction as 1 m1 \mathrm{~m}, wavelength 2πm2 \pi \mathrm{m} and frequency of 1πHz\frac{1}{\pi} \mathrm{Hz} is represented by

Options

  1. Ay=sin⁡(x−2t)y=\sin (x-2 t)
  2. By=sin⁡(2πx−2πt)y=\sin (2 \pi x-2 \pi t)
  3. Cy=sin⁡(10πx−20πt)y=\sin (10 \pi x-20 \pi t)
  4. Dy=sin⁡(2πx+2πt)y=\sin (2 \pi x+2 \pi t)

Correct answer

A. y=sin⁡(x−2t)y=\sin (x-2 t)

Step-by-step solution

Given a=1 ma=1 \mathrm{~m} As, y=asin⁡(kx−ωt)=sin⁡(2π2πx−2π×1πt)=sin⁡(x−2t)\begin{aligned} y & =\operatorname{asin}(k x-\omega t) \\ & =\sin \left(\frac{2 \pi}{2 \pi} x-2 \pi \times \frac{1}{\pi} t\right) \\ & =\sin (x-2 t) \end{aligned}
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