A transverse wave is passing through a string shown in figure. Mass density of the string is $1 \ kg/m^3$ and cross section area of string is $0.01\ m^2.$ Equation of wave in string is $y = 2sin (20t - 10x).$ The hanging mass is (in $kg$):-
Medium
Download our app for free and get started
$\mathrm{v}=\frac{\omega}{\mathrm{k}} \cdot$ Also $\mathrm{v}=\sqrt{\frac{\mathrm{T}}{\mu}}$
$v=\frac{20}{10}=\sqrt{\frac{M g}{1 \times 0.01}}$
$\mathrm{M}=0.004$
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 SolutionThe speed of sound in any gas depends upon
- 2A composition string is made up by joining two strings of different masses per unit length $\rightarrow \mu$ and $4\mu$ . The composite string is under the same tension. A transverse wave pulse $: Y = (6 mm) \,\,sin\,\,(5t + 40x),$ where $‘t’$ is in seconds and $‘x’$ in meters, is sent along the lighter string towards the joint, the percentage of power transmitted to the heavier string through the joint is approximately ..... $\%$View Solution
- 3The ratio of densities of nitrogen and oxygen is $14:16.$ The temperature at which the speed of sound in nitrogen will be same at that in oxygen at $55^oC$ is ..... $^oC$View Solution
- 4A tuning fork of frequency $340\,Hz$ resonates in the fundamental mode with an air column of length $125\,cm$ in a cylindrical tube closed at one end. When water is slowly poured in it, the minimum height of water required for observing resonance once again is________ $cm$View Solution
(Velocity of sound in air is $340\,ms ^{-1}$ )
- 5A stationary sound source $'s'$ of frequency $334\,\, Hz$ and a stationary observer $'O'$ are placed near a reflecting surface moving away from the source with velocity $2\,\, m/sec$ as shown in the figure. If the velocity of the sound waves is air is $V = 330\,\, m/sec$, the apparent frequency of the echo is ... $Hz$View Solution
- 6If two tuning forks $A$ and $B$ are sounded together, they produce $4$ beats per second. $A$ is then slightly loaded with wax, they produce $2$ beats when sounded again. The frequency of $A$ is $256.$ The frequency of $B$ will beView Solution
- 7A wave equation which gives the displacement along $y-$direction is given by $y = 0.001\sin (100t + x)$ where $x$ and $y$ are in meterand t is time in second. This represented a waveView Solution
- 8If $y_1 = 5 (mm)\ \sin\pi t$ is equation of oscillation of source $S_1$ and $y_2$ $=$ $5$ $(mm)$ $sin(\pi t + \pi /6)$ be that of $S_2$ and it takes $1$ $sec$ and $\frac{1}{2}\ sec$ for the transverse waves to reach point $A$ from sources $S_1$ and $S_2$ respectively then the resulting amplitude at point $A$, is .... $mm$View Solution
- 9The frequency of echo will be $.......Hz$ if the train blowing a whistle of frequency $320\,Hz$ is moving with a velocity of $36\,km / h$ towards a hill from which an echo is heard by the train driver. Velocity of sound in air is $330\,m / s$.View Solution
- 10A copper wire is held at the two ends by rigid supports. At $50^{\circ} C$ the wire is just taut, with negligible tension. If $Y=1.2 \times 10^{11} \,N / m ^2, \alpha=1.6 \times 10^{-5} /{ }^{\circ} C$ and $\rho=9.2 \times 10^3 \,kg / m ^3$, then the speed of transverse waves in this wire at $30^{\circ} C$ is .......... $m / s$View Solution