Answer
Verified
386.7k+ views
Hint: The speed of a longitudinal wave depends on the inertial and elastic properties of a medium.
Complete step by step solution:
In longitudinal waves, the constituents of the medium oscillate along the direction of wave propagation. The speed of a longitudinal wave depends on inertial property as well as elastic property of the medium.
The longitudinal waves, such as sound, travel in the form of compressions and rarefactions. Therefore, bulk modulus of the medium B can be associated with the elastic property of the medium.
Further inertial property relevant for the propagation of these waves is the mass density (\[\rho \]), of the medium.
In general the speed of longitudinal waves in a medium is
\[v=\sqrt{\dfrac{B}{\rho }}\]
Where, B is the bulk modulus of the medium and \[\rho \] is the mass density of the medium.
So, speed of sound depends on inertial property as well as elastic property of the medium.
Therefore, option C is the correct answer.
Additional information:
The speed of sound is greater in solids and liquids than in gases even though they are denser than gases. This happens because they are much more difficult to compress than gases and so have much higher values of bulk modulus. This factor compensates for their higher densities than gases. A sound wave travels faster in a medium having low mass density.
Note: For the propagation of a mechanical wave, a medium is essential having properties of elasticity and inertia. The speed of sound in gases is also affected by temperature, pressure, humidity and molecular weight.
Complete step by step solution:
In longitudinal waves, the constituents of the medium oscillate along the direction of wave propagation. The speed of a longitudinal wave depends on inertial property as well as elastic property of the medium.
The longitudinal waves, such as sound, travel in the form of compressions and rarefactions. Therefore, bulk modulus of the medium B can be associated with the elastic property of the medium.
Further inertial property relevant for the propagation of these waves is the mass density (\[\rho \]), of the medium.
In general the speed of longitudinal waves in a medium is
\[v=\sqrt{\dfrac{B}{\rho }}\]
Where, B is the bulk modulus of the medium and \[\rho \] is the mass density of the medium.
So, speed of sound depends on inertial property as well as elastic property of the medium.
Therefore, option C is the correct answer.
Additional information:
The speed of sound is greater in solids and liquids than in gases even though they are denser than gases. This happens because they are much more difficult to compress than gases and so have much higher values of bulk modulus. This factor compensates for their higher densities than gases. A sound wave travels faster in a medium having low mass density.
Note: For the propagation of a mechanical wave, a medium is essential having properties of elasticity and inertia. The speed of sound in gases is also affected by temperature, pressure, humidity and molecular weight.
Recently Updated Pages
Assertion The resistivity of a semiconductor increases class 13 physics CBSE
The branch of science which deals with nature and natural class 10 physics CBSE
What is the stopping potential when the metal with class 12 physics JEE_Main
The momentum of a photon is 2 times 10 16gm cmsec Its class 12 physics JEE_Main
How do you arrange NH4 + BF3 H2O C2H2 in increasing class 11 chemistry CBSE
Is H mCT and q mCT the same thing If so which is more class 11 chemistry CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE
Select the correct plural noun from the given singular class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
The sum of three consecutive multiples of 11 is 363 class 7 maths CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
How many squares are there in a chess board A 1296 class 11 maths CBSE