If you set up the seventh harmonic on a string fixed at both ends, how many nodes and antinodes are set up in it
Medium
Download our app for free and get started
(a) String will vibrate in $7$ loops so it will have $8$ nodes $7$ antinodes.
Number of harmonics = Number of loops = Number of antinodes
$⇒$ Number of antinodes $= 7$
Hence number of nodes = Number of antinodes $+ 1 = 7 + 1 = 8$
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 of frequency $392 Hz,$ resonates with $50 cm $ length of a string under tension ($T$). If length of the string is decreased by $2\%$, keeping the tension constant, the number of beats heard when the string and the tuning fork made to vibrate simultaneously is
The fundamental frequency of a closed pipe is $220 Hz$. If $\frac{1}{4}$ of the pipe is filled with water, the frequency of the first overtone of the pipe now is ..... $Hz$
A source of sound $A$ emitting waves of frequency $1800\,Hz$ is falling towards ground with a terminal speed $v.$ The observer $B$ on the ground directly beneath the source receives waves of frequency $2150\,Hz.$ The source $A$ receives waves, reflected from ground of frequency nearly $..... Hz ($Speed of sound $= 343\,m/s )$
Two cars $A$ and $B$ are moving away from each other in opposite directions. Both the cars are moving with a speed of $20\, ms^{-1}$ with respect to the ground. If an observer in car $A$ detects a frequency $2000\, Hz$ of the sound coming from car $B$, what is the natural frequency of the sound source of car $B$ .... $Hz$ ? (speed of sound in air $= 340\, ms^{-1}$)
When a train approaches a stationary observer, the apparent frequency of the whistle is $n'$ and when the same train recedes away from the observer, the apparent frequency is $n''.$ Then, the apparent frequency $n$ when the observer moves with the train is
A sound wave of frequency $245 \,Hz$ travels with the speed of $300\, ms ^{-1}$ along the positive $x$-axis. Each point of the wave moves to and fro through a total distance of $6 \,cm$. What will be the mathematical expression of this travelling wave ?
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 wave travels in a medium according to the equation of displacement given by $y(x,\,t) = 0.03\sin \pi (2t - 0.01x)$ where $y$ and $x$ are in metres and $t$ in seconds. The wavelength of the wave is .... $m$