The length, tension, diameter and density of a wire $B$ are double than the corresponding quantities for another stretched wire $A$. Then.
Medium
Download our app for free and get started
We know,
$v =\sqrt{\frac{T}{\mu}}$
Also, $\mu \propto r^2$
Thus,
$v_A \propto \sqrt{\frac{T}{\rho(r)^2}}$
$v_B \propto \sqrt{\frac{2 T}{2 p(2 r)^2}}$
$v_B=\frac{v_A}{2}$
Also,
$n _{ S }=\frac{1}{2(2 L )} \sqrt{\frac{2 T }{8 \mu}}$
$n _{ S }=\frac{1}{8 L } \sqrt{\frac{ T }{\mu}}$
$n _{ A }=4 n _{ B }$
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
- 1The displacement of a particle is given by $y = 5 \times {10^{ - 4}}\sin (100t - 50x)$, where $x$ is in meter and $t$ in sec, find out the velocity of the wave .... $m/sec$View Solution
- 2The equation of stationary wave along a stretched string is given by $y = 5\sin \frac{{\pi x}}{3}\cos 40\pi t$ where $x$ and $y$ are in centimetre and $t$ in second. The separation between two adjacent nodes is .... $cm$View Solution
- 3Two identical coherent sound sources $R$ and $S$ with frequency $f$ are $5 \,m$ apart. An observer standing equidistant from the source and at a perpendicular distance of $12 \,m$ from the line $R S$ hears maximum sound intensity.When he moves parallel to $R S$, the sound intensity varies and is a minimum when he comes directly in front of one of the two sources. Then, a possible value of $f$ is close to ............ $Hz$ (the speed of sound is $330 \,m / s$ )View Solution
- 4Two similar open organ pipe of length $50\, cm$ and $50.5\, cm$ produce $3$ beats per second when sounded together. The velocity of sound in air is ........ $m/s$View Solution
- 5A man is watching two trains, one leaving and the other coming in with equal speeds of $4\, m/sec$. If they sound their whistles, each of frequency $240 Hz$, the number of beats heard by the man (velocity of sound in air $= 320 m/sec$) will be equal toView Solution
- 6Two waves are represented by the equations : $y_1 = a\, sin\,(\omega t + kx + 0.57)\, m$ and $y_2 = a\, cos\,(\omega t + kx)\, m$, where $x$ is in $metres$ and $t$ is in $seconds$ . The phase difference between them is ..... $radian$View Solution
- 7An observer starts moving with uniform acceleration $a$ toward a stationary sound source emitting a whistle of frequency $n.$ As the observer approaches source, the apparent frequency, heard by the observer varies with time asView Solution
- 8View SolutionIf the amplitude of sound is doubled and the frequency reduced to one-fourth, the intensity of sound at the same point will be
- 9The engine of a train moving with speed $10\,ms ^{-1}$ towards a platform sounds a whistle at frequency $400\,Hz$. The frequency heard by a passenger inside the train is $........\,Hz$ (neglect air speed. Speed of sound in air $330\,ms ^{-1}$ )View Solution
- 10The fundamental frequency of vibration of a string stretched between two rigid support is $50\,Hz$. The mass of the string is $18\,g$ and its linear mass density is $20\,g / m$. The speed of the transverse waves so produced in the string is $..........\,ms ^{-1}$View Solution