The rope shown at an instant is carrying a wave travelling towards right, created by a source vibrating at a frequency $n$. Consider the following statements
$I.$ The speed of the wave is $4n \times ab$
$II.$ The medium at $a$ will be in the same phase as $d$ after $\frac{4}{{3n}}s$
$III.$ The phase difference between $b$ and $e$ is $\frac{{3\pi }}{2}$
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One insulated conductor from a household extension cord has a mass per unit length of $μ.$ A section of this conductor is held under tension between two clamps. A subsection is located in a magnetic field of magnitude $B$ directed perpendicular to the length of the cord. When the cord carries an $AC$ current of $"i"$ at a frequency of $f,$ it vibrates in resonance in its simplest standing-wave vibration state. Determine the relationship that must be satisfied between the separation $d$ of the clamps and the tension $T$ in the cord.
If the threshold of hearing is assumed to be the reference $(0\ dB)$ , then the threshold of pain is taken to be $120\ dB$ . Let the corresponding sound intensities be $I_0$ and $I$ respectively. Then $\frac{{{I_0}}}{I}$ is
A transverse wave is represented by $y=2 \sin$ $(\omega t - kx ) cm$. The value of wavelength (in $cm$ ) for which the wave velocity becomes equal to the maximum particle velocity, will be.
Unlike a laboratory sonometer, a stringed instrument is seldom plucked in the middle. Supposing a sitar string is plucked at about $\frac{1}{4}$th of its length from the end. The most prominent harmonic would be
$Assertion :$ A transverse waves are produced in a very long string fixed at one end. Only progressive wave is observed near the free end.
$Reason :$ Energy of reflected wave does not reach the free end.
A string of length $1\,\,m$ and linear mass density $0.01\,\,kgm^{-1}$ is stretched to a tension of $100\,\,N.$ When both ends of the string are fixed, the three lowest frequencies for standing wave are $f_1, f_2$ and $f_3$. When only one end of the string is fixed, the three lowest frequencies for standing wave are $n_1, n_2$ and $n_3$. Then
Consider two sound sources $S_1$ and $s_2$ having same frequency $100\,\,Hz$ and the observer $O$ located between them as shown in the fig. All the three are moving with same velocity in same direction. The beat frequency of the observer is .... $Hz$
The equation of a wave is $y = 2\sin \pi (0.5x - 200t)$, where $x$ and $y$ are expressed in $cm$ and $t$ in $sec.$ The wave velocity is ...... $cm/sec$
The wave equation is $y = 0.30\sin (314t - 1.57x)$ where $t, x$ and $y$ are in second, meter and centimeter respectively. The speed of the wave is ..... $m/s$