Equation of a plane progressive wave is given by $y = 0.6\sin 2\pi \left( {t - \frac{x}{2}} \right)$. On reflection from a denser medium its amplitude becomes $2/3$ of the amplitude of the incident wave. The equation of the reflected wave is
$y = 0.6\sin 2\pi \left( {t + \frac{x}{2}} \right)$
$y = - 0.4\sin 2\pi \left( {t + \frac{x}{2}} \right)$
$y = 0.4\sin 2\pi \left( {t + \frac{x}{2}} \right)$
$y =-0.4\sin 2\pi \left( {t - \frac{x}{2}} \right)$
A racing car moving towards a cliff sounds its horn. The driver observes that the sound reflected from the cliff has a pitch one octave higher than the actual sound of the horn. If $v$ is the velocity of sound, the velocity of the car will be
A sound absorber attenuates (decreases) the sound level by $20\, dB$. The intensity decreases by a factor of
Fundamental frequency of a sonometer wire is $n$ . If the length and diameter of the wire are doubled keeping the tension same, then the new fundamental frequency is
The figure represents the instantaneous picture of a transverse harmonic wave traveling along the negative $x$-axis. Choose the correct alternative $(s)$ related to the movement of the nine points shown in the figure. The stationary points is/are
A transverse wave is described by the equation $y = {y_0}\,\sin \,2\pi \,\left[ {ft - \frac{x}{\lambda }} \right]$ . The maximum particle velocity is equal to four times the wave velocity if