The property of a medium necessary for wave propagation is
inertia
low resistance
elasticity
All of the above
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The ratio of the speed of a body to the speed of sound is called
Mach number
Doppler ratio
sonic index
refractive index
mach number
A hospital uses an ultrasonic scanner to locate tumours in a tissue. The operating frequency of the scanner is 4.2 . The speed of sound in a tissue is . The wavelength of sound in tissue is close to
Frequency (n) and speed of sound . Wave length of sound in tissue
When two sound waves travel in the same direction in a medium, the displacements of a particle located at ' ' at time ' ' is given by :
where and are in meters and in seconds. The speed of sound in the medium is :
Standard equation,
From any of the displacement equation
Say
At , the shape of a travelling pulse is given by .
where and are in metres. The wave function for the travelling pulse if the velocity of propagation is in the direction is given by
For a travelling wave in the -direction,
A circular loop of rope of length rotates with uniform angular velocity about an axis through its centre on a horizontal smooth platform. Velocity of pulse (with respect to rope) produced due to slight radial displacement is given by
The extension in a string, obeying Hooke's law, is . The speed of sound in the stretched string is . If the extension in the string is increased to , the speed of sound will be
According to Hooke's law
[Restoring force , tension of spring]
Velocity of sound by a stretched string
where is the mass per unit length
Hence or,
or
The equation of a wave on a string of linear mass density is given by
The tension in the string is
Two strings and , made of same material, are stretched by same tension. The radius of string is double of radius of . transverse wave travels on with speed and on with speed . The ratio is
2
4
The relation between velocity of sound in a gas (v) and r.m.s. velocity of molecules of gas ( ) is
Velocity of sound in a gas is
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