A uniform rope of length $L$ and mass $m_1$ hangs vertically from a rigid support. A block of mass $m_2$ is attached to the free end of the rope. A transverse pulse of wavelength $\lambda _1$ is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is $\lambda _2$ . The ratio $\lambda _2/\lambda _1$ is
$\sqrt {\frac{{{m_1}}}{{{m_2}}}} $
$\sqrt {\frac{{{m_1} + {m_2}}}{{{m_2}}}} $
$\sqrt {\frac{{{m_2}}}{{{m_1}}}} $
$\sqrt {\frac{{{m_1} + {m_2}}}{{{m_1}}}} $
A car blowing a horn of frequency $350\, Hz$ is moving normally towards a wall with a speed of $5 \,m/s$. The beat frequency heard by a person standing between the car and the wall is ..... $Hz$ (speed of sound in air $= 350\, m/s$)
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 passing through a stretched string with a speed of $20\ m/s$ . The tension in the string is $20\ N$ . At a certain point $P$ on the string, it is observed that energy is being transferred at a rate of $40\ mW$ at a given instant. Find the speed of point $P$
A transverse harmonic wave on a string is described by $y = 3\sin \left( {36t + 0.018x + \frac{\pi }{4}} \right)$ where $x$ and $y$ are in $cm$ and $t$ in $s$. The least distance between two successive crests in the wave is .... $m$