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QNEET-2013-Ph-1520: NEET 2013 Physics - Class 11 NEET-2013-Ph-1520 Solution: A wave travelling in the +ve x-direction having displacement…

A wave travelling in the +ve x-direction having displacement along y-direction as 1 m wavelength 2π2\pi m and frequency of 1π\frac{1}{\pi} Hz is represented by y=sin⁡(10πx−20πt)y = \sin(10\pi x - 20\pi t) y=sin⁡(2πx+2πt)y = \sin(2\pi x + 2\pi t) y=sin⁡(x−2t)y = \sin(x - 2t) y=sin⁡(2πx−2πt)y = \sin(2\pi x - 2\pi t)

Multiple Choice Options

  • A y = sin(10 π\pi � x −- _ 20 π\pi � t)
  • B y = sin(2 π\pi � x + 2 π\pi � t)
  • C y = sin(x −- _ 2t)
  • D y == = sin(2 π\pi � x −- _ 2 π\pi � t)

Step-by-Step Verified Solution

The standard equation of a wave travelling along +ve x-direction is given by y = A s i n ( k x _ _ t ) where A = Amplitude of the wave k = angular wave number _ = angular frequency of the wave Given: A = 1 m, _ = 2 � m , _ = 1 � H z As k = 2 � _ = 2 � 2 � = 1 _ = 2 � _ = 2 � _ 1 � = 2 _ The equation of the given wave is y = 1 sin (1x � 2t) = sin(x � 2t)

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