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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
In the Kundts tube experiment (shown in fig. $(i)$), the rod is clamped at the end instead of clamping it at the center as shown in fig. $(ii).$ It is known that speed of sound in air is $330\ m/s$, powder piles up at successive distance of $0.6\ m$ and length of rod used is $1\ m$, speed of sound in rod is .... $\frac{m}{s}$
A tuning fork of frequency $340Hz$ is vibrated just above the tube of $120 cm$ height. Water is poured slowly in the tube. What is the minimum height of water necessary for the resonance .... $cm$ (speed of sound in the air $= 340 m/sec$)
A standing wave having $3$ nodes and $2$ antinodes is formed between two atoms having a distance $1.21\;\mathring A$ between them. The wavelength of the standing wave is .... $\mathop A\limits^o $
For a certain organ pipe, three successive resonance frequencies are observed at $425,595,$ and $765 \,Hz$ respectively, Taking the speed of sound in air to be $340 \,m / s$ the fundamental frequency of the pipe (in $Hz$ ) is .........
A string is rigidly tied at two ends and its equation of vibration is given by $y = \cos 2\pi \,t\sin \sin \pi x.$ Then minimum length of string is .... $m$
$A$ is singing a note and at the same time $B$ is singing a note with exactly one-eighth the frequency of the note of $A$. The energies of two sounds are equal, the amplitude of the note of $B$ is
A student is performing an experiment using a resonance column and a tuning fork of frequency $244 s ^{-1}$. He is told that the air in the tube has been replaced by another gas (assume that the column remains filled with the gas). If the minimum height at which resonance occurs is $(0.350 \pm 0.005) m$, the gas in the tube is
(Useful information) : $\sqrt{167 R T}=640 j^{1 / 2} mole ^{-1 / 2} ; \sqrt{140 RT }=590 j ^{1 / 2} mole ^{-1 / 2}$. The molar masses $M$ in grams are given in the options. Take the value of $\sqrt{\frac{10}{ M }}$ for each gas as given there.)
A taut string at both ends vibrates in its $n^{th}$ overtone. The distance between adjacent Node and Antinode is found to be $'d'$. If the length of the string is $L,$ then