Find the frequency of minimum distance between compression & rarefaction of a wire. If the length of the wire is $1m$ & velocity of sound in air is $360\, m/s$ .... $sec^{-1}$
Medium
Download our app for free and get started
(a) The minimum distance between compression and rarefaction of the wire
$l = \frac{\lambda }{4}$
$\therefore $ Wave length $\lambda = 4l$
Now by $v = n\lambda \Rightarrow n = \frac{{360}}{{4 \times 1}} = 90\,{\sec ^{ - 1}}.$
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
A tuning fork whose frequency as given by manufacturer is $512 Hz$ is being tested with an accurate oscillator. It is found that the fork produces a beat of $2 Hz$ when oscillator reads $514 Hz$ but produces a beat of $6 Hz$ when oscillator reads $510 Hz$. The actual frequency of fork is ..... $Hz$
A plane wave is represented by $x = 1.2\sin (314\,t + 12.56y)$Where $x$ and $y$ are distances measured along in $x$ and $y$ direction in meters and $t$ is time in seconds. This wave has
Two waves are propagating along a taut string that coincides with the $x-$axis. The first wave has the wave function $y_1 = A cos [k(x - vt)]$ and the second has the wave function $y = A cos [k(x + vt) + \phi ]$.
Two waves ${y_1} = {A_1}\sin (\omega t - {\beta _1})$, ${y_2} = {A_2}\sin (\omega t - {\beta _2})$ Superimpose to form a resultant wave whose amplitude is
In an experiment to determine the velocity of sound in air at room temperature using a resonance is observed when the air column has a length of $20.0 \,cm$ for a tuning fork of frequency $400 \,Hz$ is used. The velocity of the sound at room temperature is $336 \,ms ^{-1}$. The third resonance is observed when the air column has a length of ......... $cm$
An organ pipe $P_1$, closed at one end vibrating in its first harmonic and another pipe $P_2$, open at both ends vibrating in its third harmonic, are in resonance with a given tuning fork, The ratio of the lengths of $P_1$ and $P_2$ is
A train moves towards a stationary observer with speed $34 m/s$. The train sounds a whistle and its frequency registered by the observer is ${f_1}$. If the train’s speed is reduced to $17\, m/s$, the frequency registered is ${f_2}$. If the speed of sound is 340 m/s then the ratio ${f_1}/{f_2}$ is
The displacement of a particle in string stretched in $X$ direction is represented by $y.$ Among the following expressions for $y,$ those describing wave motions are
The equation of a wave travelling on a string is $y = 4\sin \frac{\pi }{2}\left( {8t - \frac{x}{8}} \right)$. If $x$ and $y$ are in $cm,$ then velocity of wave is