Tag: production and propagation of sound

Questions Related to production and propagation of sound

Assuming that the period of vibration of a tuning fork depends upon the length $l$ of its prongs density $\rho$ of its material and the elastic constant  $E$ of its material what would be the formula for the period of its vibration.

  1. $\frac{k}{l}\sqrt{\frac{y}{d}}$

  2. $\frac{2k}{l}\sqrt{\frac{y}{d}}$

  3. $\frac{k}{2l}\sqrt{\frac{2y}{d}}$

  4. $\frac{3k}{l}\sqrt{\frac{y}{2d}}$


Correct Option: A
Explanation:

Considering $n=k{l}^{a}{d}^{b}{y}^{c}$--------(A) 

where k=dimensionless quantity 
l=length $=L$;  d=density$=kg/{m}^{3}$ and y=Young modulus$=kg/m{s}^{2}$
Substituting the above mentioned dimension in A we get,
$[{T]}^{-1}=[{L]}^{a}[{M{L}^{-3}]}^{b}[{M{L}^{-1}{T}^{-2}]}^{c}$
Comparing the power of $ML$  and $T$ we have,
$b+c=0$---------(1)
$a-3b-c=0$------(2)
$-2c=-1$
$c=\dfrac{1}{2}$
Putting the values of c in 1 we get,
$b=\dfrac{-1}{2}$
 Putting the values of b and c in 2 we get,
$a=-1$
Thus putting the values of a,b and c in A we get,
$n=k{l}^{-1}{d}^{1/2}{y}^{1/2}=\dfrac{k}{l}\sqrt{\dfrac{y}{d}}$ 

Match the following and choose the correct answer.

A String vibration 1 Tabla
B Membrane vibration 2 Bicycle bell
C Vibration of air 3 Sitar
D Vibration of plate 4 Flute
  1. A-1, B-2, C-3, D-4

  2. A-2, B-1, C-4, D-3

  3. A-3, B-1, C-4, D-2

  4. A-4, B-3, C-2, D-1


Correct Option: C
Explanation:

String vibration is there in sitar.

Membrane vibration is there in tabla.
Vibration of air is in flute.
Vibration of plate is in bicycle bell.

The membrane of a drum vibrates to produce sound. Similarly the string of a sitar vibrates to produce sound. Based on these two examples answer the following question. Which part of a whistle vibrates to produce sound?

  1. Body of whistle

  2. Air

  3. Mouth of the person

  4. All of the above


Correct Option: A
Explanation:

A body of whistle is responsible for the whistle to produce sound.

As air enters the whistle at one end.As the air reaches the other, closed end, all the air molecules fill up on top of each other and cause a high pressure region.The air escapes out the little hole in the end making a sound you hear.The frequency of sound depends on the length of the whistle.

Percussion instruments are musical instruments that are played by

  1. banging

  2. shaking

  3. both A and B

  4. hitting


Correct Option: C
Explanation:

Percussion instruments are musical instruments that are played by banging and shaking both.

so the answer is C.

If we strike a water-filled bowl with spoon, then why there is variation in the sound produced due to change in water level of the bowl?

  1. due to change in pitch

  2. due to change in amplitude

  3. both A and B

  4. None of the above


Correct Option: A
Explanation:

Due to change in air column the wavelength and fundamental frequency changes. So the pitch of the sound changes which results in difference in the produced sounds .

so the answer is A.

Name the instruments for which more than one part is responsible for the production of sound.

  1. Tabla

  2. Violin

  3. Guitar

  4. All of the above


Correct Option: A
Explanation:

In violin and guitar, only the string is responsible for sound production. Whereas in Tabla, the diaphragm, as well as the air in the Tabla, produce sound.