A hospital uses an ultrasonic scanner to locate tumours in a tissue. The operating frequency of the scanner is $4.2 MHz$. The speed of sound in a tissue is $1.7 \,km-s^{-1}$. The wavelength of sound in the tissue is close to
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A person standing on an open ground hears the sound of a jet aeroplane, coming from north at an angle $60^o$ with ground level. But he finds the aeroplane right vertically above his position. If $\upsilon $ is the speed of sound, speed of the plane is
A wave is given by $y = 3\sin 2\pi \left( {\frac{t}{{0.04}} - \frac{x}{{0.01}}} \right)$, where $y$ is in $cm$. Frequency of wave and maximum acceleration of particle will be
For a certain organ pipe three successive resonance frequencies are observed at $425 \,\,Hz$, $595\,\, Hz$ and $765\,\, Hz$ respectively. If the speed of sound in air is $340 \,\,m/s$, then the length of the pipe is .... $m$
A string is clamed at both the ends and it is vibrating in its $4^{th}$ harmonic. The equation of the stationary wave is $Y =0.3\,sin\,(0.157\,x) \,cos\,(200\pi t)$. The length of the string is ..... $m$ (all quantities are in $SI$ units)
A wave travelling in positive $x-$direction with $A = 0.2\;m$ has a velocity of $360 \;m/sec.$ if $\lambda = 60\;m,$ then correct expression for the wave is
A motor cycle starts from rest and accelerates along a straight path at $2 \;m / s ^{2}$. At the starting point of the motor cycle there is a stationary electric siren. How far has the motor cycle gone when the driver hears the frequency of the siren at $94 \%$ of its value when the motor cycle was at rest?