A second harmonic has to be generated in a string of length $l$ stretched between two rigid supports. The point where the string has to be plucked and touched are
Medium
Download our app for free and get started
To generate the second harmonic is a staring of length stretched between two rigid supports has to plucked at $l / 4$ and touched at $l / 2$
For second harmonic, wavelength $\left(\lambda_{2}\right)$ of the standing waves set up on the corresponds to the $n=2$
Thus, $\lambda_{n}=\frac{2 l}{n}$
$\Rightarrow \lambda_{2}=\frac{2 l}{2}=l$
This shows that we have an antinode at $l / 2$
This shows that we have an node at $l / 4$
Download our appand 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.*
Similar Questions
- 1View SolutionIf the amplitude of sound is doubled and the frequency reduced to one-fourth, the intensity of sound at the same point will be
- 2The 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 in the direction of wave areView Solution
- 3View SolutionThe beats are produced by two sound sources of same amplitude and of nearly equal frequencies. The maximum intensity of beats will be ...... that of one source
- 4The second overtone of an open organ pipe $A$ and a closed pipe $B$ have the same frequency at a given temperature. It follows that the ratio of theView Solution
- 5A string fixed at both ends is in resonance in its $2^{nd}$ harmonic with a tuning fork of frequency $f_1$. Now its one end becomes free. If the frequency of the tuning fork is increased slowly from $f_1$ then again a resonance is obtained when the frequency is $f_2$. If in this case the string vibrates in $n^{th}$ harmonic thenView Solution
- 6The equation of a stationary wave along a stretched string is given by $y = 5\,sin\, \frac{2\pi }{3}x\, cos\, 40\pi t$ where $x$ and $y$ are in $cm$ and $t$ is in $s$. The separation between two adjacent nodes is ..... $cm$View Solution
- 7Oxygen is $16$ times heavier than hydrogen. Equal volumes of hydrogen and oxygen are mixed. The ratio of speed of sound in the mixture to that in hydrogen isView Solution
- 8An observer standing at station observes frequency $219 Hz$ when a train approaches and $184 Hz$ when train goes away from him. If velocity of sound in air is $340\, m/s$, then velocity of train and actual frequency of whistle will beView Solution
- 9A uniform narrow $1.95\,\, m$ long pipe is open at both ends. It resonates at two successive harmonic of frequency $275\,\, Hz$ and $330 \,Hz.$The speed of sound in the tube is ...... $m/s$View Solution
- 10A wire is stretched between two rigid supports vibrates in its fundamental mode with a frequency of $50\,\, Hz$ . The mass of the wire is $30\,\, g$ and its linear density is $4\, \times \, 10^{-2}\,\, kg/m$ . The speed of the transverse wave at the string is ...... $ms^{-1}$View Solution