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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 $...$
A plane wave is described by the equation $y = 3\cos \left( {\frac{x}{4} - 10t - \frac{\pi }{2}} \right)$. The maximum velocity of the particles of the medium due to this wave is
Two tuning forks when sounded together produced $4$ beats/sec. The frequency of one fork is $256.$ The number of beats heard increases when the fork of frequency $256$ is loaded with wax. The frequency of the other fork is
Two 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$.....$
A tunning fork produces $5\, beats/sec$ when the length of a sonometer wire is either $1\, m$ or $1.05\, m$. Calculate the frequency of tunning fork .... $Hz$
In stationary waves, distance between a node and its nearest antinode is $20 cm$. The phase difference between two particles having a separation of $60 cm$ will be
A uniform wire of length $L$ and mass $M$ is stretched between two fixed points, keeping tension $F$. A sound of frequency $m$ is impressed on it. Then the maximum vibrational energy is existing in the wire when $\mu $ =
A tuning fork of frequency $512\, Hz$ makes $4$ beats per second with the vibrating string of a piano. The beat frequency decreases to $2$ beats per sec when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was .... $Hz$
A whistle $S$ of frequency $f$ revolves in a circle of radius $R$ at a constant speed $v$. What is the ratio of largest and smallest frequency detected by a detector $D$ at rest at a distance $2R$ from the centre of circle as shown in figure ? (take $c$ as speed of sound)