A metallic wire of length $L$ is fixed between two rigid supports. If the wire is cooled through a temperature difference $\Delta T$ ($Y$ = young’s modulus, $\rho$ = density, $\alpha$ = coefficient of linear expansion) then the frequency of transverse vibration is proportional to :
Advanced
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 equation of wave is given by $Y=10^{-2} \sin 2 \pi\left(160 t-0.5 x+\frac{\pi}{4}\right)$ Where $x$ and $Y$ are in $m$ and $t$ in $s$. The speed of the wave is $.....\,km h ^{-1}$View Solution
- 2If the threshold of hearing is assumed to be the reference $(0\ dB)$ , then the threshold of pain is taken to be $120\ dB$ . Let the corresponding sound intensities be $I_0$ and $I$ respectively. Then $\frac{{{I_0}}}{I}$ isView Solution
- 3A wire of density $9 \times 10^{-3} \,kg\, cm ^{-3}$ is stretched between two clamps $1\, m$ apart. The resulting strain in the wire is $4.9 \times 10^{-4}$. The lowest frequency of the transverse vibrations in the wire is......$HZ$View Solution
(Young's modulus of wire $Y =9 \times 10^{10}\, Nm ^{-2}$ ), (to the nearest integer),
- 4A plane progressive wave is given by $y=2 \cos 2 \pi(330 t-x) m$. The frequency of the wave is:View Solution
- 5A plane wave $y=A\,\, sin\,\, \omega \left( {t - \frac{x}{v}} \right)$ undergo a normal incidence on a plane boundary separating medium $M_1$ and $M_2$ and splits into a reflected and transmitted wave having speeds $v_1$ and $v_2$ thenView Solution
- 6A wave travelling in the $+ve$ $x-$ direction having displacement along $y-$ direction as $1\,\, m,$ wavelength $2\pi\,\, m$ and frequency of $\frac{1}{\pi}$ $Hz$ is represented byView Solution
- 7An earthquake generates both transverse $(S)$ and longitudinal $(P)$ sound waves in the earth. The speed of $S$ waves is about $4.5 \,km/s$ and that of $P$ waves is about $8.0 \,km/s.$ A seismograph records $P$ and $S$ waves from an earthquake. The first $P$ wave arrives $4.0\, min$ before the first $S$ wave. The epicenter of the earthquake is located at a distance about .... $km$View Solution
- 8The power of sound from the speaker of a radio is $20$ milli watt by turning the knob of the volume control the power of the sound is increased to $400$ milli watt. The power increase in decibles as compared to the original power is ..... $dB$View Solution
- 9An observer moves towards a stationary source of sound of frequency $n$. The apparent frequency heard by him is $2n$. If the velocity of sound in air is $332\, m/sec, $ then the velocity of the observer is .... $m/sec$View Solution
- 10The power of a sound from the speaker of a radio is $20 mW$. By turning the knob of the volume control, the power of the sound is increased to $400 mW.$ The power increase in decibels as compared to the original power is .... $dB$View Solution