Wave has simple harmonic motion whose period is $4\; sec$ while another wave which also possesses simple harmonic motion has its period $3\; sec$. If both are combined, then the resultant wave will have the period equal to ....... $sec$
AIPMT 1993, Medium
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Beats are produced. Frequency of beats will be $\frac{1}{3}-\frac{1}{4}=\frac{1}{12}$ Hence time period $=12 s$
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The transverse displacement in a streched string is given by
$y = 0.06 \sin \, \left( {\frac{{2\pi }}{3}x} \right)\cos \,(120\pi t)$
where $x$ and $y$ are in $m$ and $t$ is in $s$. The length of the string is $1.5\, m$ and its mass is $3.0 \times 10^{-2} \,kg$, then tension in string is ..... $N$
The sound intensity level at a point $4 \,m$ from the point source is $10 \,dB$, then the sound level at a distance $2 \,m$ from the same source will be ........ $dB$
A transverse wave propagating on the string can be described by the equation $y=2 \sin (10 x+300 t)$. where $x$ and $y$ are in metres and $t$ in second. If the vibrating string has linear density of $0.6 \times 10^{-3} \,g / cm$, then the tension in the string is .............. $N$
While measuring the speed of sound by performing a resonance column experiment, a student gets the first resonance condition at a column length of $18\ cm$ during winter. Repeating the same experiment during summer, she measures the column length to be $x\ cm$ for the second resonance. Then
The figure represents the instantaneous picture of a longitudinal harmonic wave travelling along the negative $x$-axis. Identify the correct statement $(s)$ related to the movement of the points shown in the figure. The points of maximum compression are
The figure represents the instantaneous picture of a longitudinal harmonic wave travelling along the negative $x$-axis. Identify the correct statement $(s)$ related to the movement of the points shown in the figure. The points moving opposite to the direction of propagation are
One end of a string of length $L$ is tied to the ceiling of a lift accelerating upwards with an acceleration $2g$. The other end of the string is free. The linear mass density of the string varies linearly from $0$ to $\lambda$ from bottom to top.
Two waves are represented by ${y_1} = a\sin \left( {\omega \,t + \frac{\pi }{6}} \right)$ and ${y_2} = a\cos \omega \,t$. What will be their resultant amplitude