$A$ wave equation is given as $y = \cos(500t - 70x)$,where $y$ is in $mm$,$x$ is in $m$,and $t$ is in $s$. Which of the following statements is correct?

  • A
    The wave must be a transverse propagating wave.
  • B
    The speed of the wave is $50/7 \ m/s$.
  • C
    Two closest points which are in the same phase have a separation of $20\pi/7 \ cm$.
  • D
    All of the above.

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Similar Questions

Column $I$ shows four systems,each of the same length $L$,for producing standing waves. The lowest possible natural frequency of a system is called its fundamental frequency,whose wavelength is denoted as $\lambda_{f}$. Match each system with statements given in Column $II$ describing the nature and wavelength of the standing waves.
Column $I$:
$(A)$ Pipe closed at one end
$(B)$ Pipe open at both ends
$(C)$ Stretched wire clamped at both ends
$(D)$ Stretched wire clamped at both ends and at mid-point
Column $II$:
$(p)$ Longitudinal waves
$(q)$ Transverse waves
$(r)$ $\lambda_{f} = L$
$(s)$ $\lambda_{f} = 2L$
$(t)$ $\lambda_{f} = 4L$

Match the following List-$I$ with List-$II$.
List-$I$List-$II$
$(A)$ Transverse wave$(i)$ Vibrations parallel to the direction of propagation
$(B)$ Longitudinal wave$(ii)$ Vibrations perpendicular to the direction of propagation
$(C)$ Beats$(iii)$ Superposition of waves travelling in the opposite directions
$(D)$ Stationary waves$(iv)$ Superposition of waves travelling in same direction
The correct answer is

If a microwave and an ultrasonic sound wave have the same wavelength, the ratio of their frequencies is approximately:

Diffraction of sound waves is more evident than light waves in daily life because:

At a certain moment, the photograph of a string on which a harmonic wave is travelling to the right is shown. Then, which of the following is true regarding the velocities of the points $P$, $Q$ and $R$ on the string?

Difficult
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