Speed of a transverse wave on a straight wire (mass $6.0\; \mathrm{g}$, length $60\; \mathrm{cm}$ and area of cross-section $1.0\; \mathrm{mm}^{2}$ ) is $90\; \mathrm{ms}^{-1} .$ If the Young's modulus of wire is $16 \times 10^{11}\; \mathrm{Nm}^{-2},$ the extension of wire over its natural length is
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A hospital uses an ultrasonic scanner to locate tumours in a tissue. What is the wavelength of sound in the tissue in which the speed of sound is $1.7\; km s ^{-1}$ ? The operating frequency of the scanner is $4.2 \;MHz$
For a solid rod, the Young's modulus of elasticity is $3.2 \times 10^{11}\,Nm ^{-2}$ and density is $8 \times 10^3\,kg\,m ^{-3}$. The velocity of longitudinal wave in the rod will be $......... \times 10^{3}\,ms^{-1}$
A pipe $30 cm$ long is open at both ends. Which harmonic mode of the pipe is resonantly excited by a $1.1 kHz$ source ? (Take speed of sound in air =$ 330 ms^{-1}$)
A certain string will resonant to several frequencies, the lowest of which is $200 \,cps$. What are the next three higher frequencies to which it resonants?
A man $x$ can hear only upto $10 kHz$ and another man $y$ upto $20 kHz$. A note of frequency $500 Hz$ is produced before them from a stretched string. Then
A tuning fork of frequency $340\,\, Hz$ is vibrated just above a cylindrical tube of length $120 \,\,cm$. Water is slowly poured in the tube. If the speed of sound is $340\,\, ms^{-1}$ then the minimum height of water required for resonance is .... $cm$
A standing wave in a pipe with a length $L=1.2 \,m$ is described by $y(x, t)=y_0 \sin [(2 \pi / L) x] \sin [(2 \pi / L) x+\pi / 4]$ based on above information, which one of the following statement is incorrect? (Speed of sound in air is $300 \,ms ^{-1}$ )