A string of length $2 m$ is fixed at both ends. If this string vibrates in its fourth normal mode with a frequency of $500 Hz$ then the waves would travel on its with a velocity of ..... $m/s$
A$125$
B$250$
C$500$
D$1000 $
Medium
Download our app for free and get started
C$500$
c (c) For string $\lambda = \frac{{2l}}{p}$
where $p =$ No. of loops = Order of vibration
Hence for forth mode $p = 4$
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 narrow tube is bent in the form of a circle of radius $R,$ as shown in the figure. Two small holes $S$ and $D$ are made in the tube at the positions right angle to each other. A source placed at $S$ generated a wave of intensity $I_0$ which is equally divided into two parts : One part travels along the longer path, while the other travels along the shorter path. Both the part waves meet at the point $D$ where a detector is placed The maximum value of $\lambda$ to produce a maxima at $D$ is given by
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
If in an experiment for determination of velocity of sound by resonance tube method using a tuning fork of $512 Hz$, first resonance was observed at $30.7 cm$ and second was obtained at $63.2 cm$, then maximum possible error in velocity of sound is .....$cm/sec$ (consider actual speed of sound in air is $332 m/s$)
Two tuning forks, $A$ and $B$, give $4$ beats per second when sounded together. The frequency of $A$ is $320 Hz.$ When some wax is added to $B$ and it is sounded with $A, 4$ beats per second are again heard. The frequency of $B$ is .... $Hz$
Two waves have equations $x_1=a \sin \left(\omega t+\phi_1\right)$ and $x_2=a \sin \left(\omega t+\phi_2\right)$. If in the resultant wave the frequency and amplitude remain equal to amplitude of superimposing waves, the phase difference between them is ........
Standing waves are generated on a sonometer string loaded with a cylindrical body. If the cylinder is completely immersed in water, the length of the loops changes by a factor of $2.2$ . The specific gravity of the material of the cylinder is
The difference between the apparent frequency of a source of sound as perceived by an observer during its approach and recession is $2\%$ of the natural frequency of the source. If the velocity of sound in air is $300 \,m/sec,$ the velocity of the source is ... $m/sec$ (It is given that velocity of source $<<$ velocity of sound)
A transverse wave of amplitude $0.5\, m$ and wavelength $1\, m$ and frequency $2\, Hz$ is propagating in a string in the negative $x-$direction. The expression for this wave is