The speed of a transverse wave passing through a string of length $50 \;cm$ and mass $10\,g$ is $60\,ms ^{-1}$. The area of cross-section of the wire is $2.0\,mm ^{2}$ and its Young's modulus is $1.2 \times 10^{11}\,Nm ^{-2}$. The extension of the wire over its natural length due to its tension will be $x \times 10^{-5}\; m$. The value of $x$ is $...$
JEE MAIN 2022, Medium
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 wave equation is $y = 0.30\sin (314t - 1.57x)$ where $t, x$ and $y$ are in second, meter and centimeter respectively. The speed of the wave is ..... $m/s$View Solution
- 2If the length of stretched string is shortened by $40\%$ and the tension is increased by $44\%$, then the ratio of the final and initial fundamental frequencies isView Solution
- 3Two pulses on a string approach each other at speeds of $1 m/s$. What is the shape of the string at $t = 3s$ :-View Solution
- 4A stationary source emits sound waves of frequency $500\, Hz$. Two observers moving along a line passing through the source detect sound to be of frequencies $480\, Hz$ and $530\, Hz$. Their respective speeds are, in $m\,s^{-1}$ (Given speed of sound $= 300\, m/s$)View Solution
- 5A source of sound of frequency $256 Hz$ is moving rapidly towards a wall with a velocity of $5m/s$. The speed of sound is $330 m/s.$ If the observer is between the wall and the source, then beats per second heard will be .... $Hz$View Solution
- 6A closed orgain pipe has length $'l’$. The air in it is vibrating in $3^{rd}$ overtone with maximum displacement amplitude $'a’$. The displacement amplitude at distance $l / 7$ from closed end of the pipe is:View Solution
- 7Fundamental frequency of sonometer wire is $n$. If the length, tension and diameter of wire are tripled, the new fundamental frequency isView Solution
- 8A small speaker delivers $2\, W$ of audio output. At what distance from the speaker will one detect $120\, dB$ intensity sound ... $cm$ ? [Given reference intensity of sound as $10^{-12}\,W/m^2$]View Solution
- 9Two identical strings $X$ and $Z$ made of same material have tension $T _{ x }$ and $T _{ z }$ in them. If their fundamental frequencies are $450\, Hz$ and $300\, Hz ,$ respectively, then the ratio $T _{ x } / T _{ z }$ is$.....$View Solution
- 10If $V_m$ is the velocity of sound in moist air, $V_d$ is the velocity of sound in dry air, under identical conditions of pressure and temperatureView Solution