Concepts Of Physics MCQ Edition [Volume 1]
- Exam
- Concepts Of Physics MCQ Edition [Volume 1]
- Subject
- Physics
- Chapter
- Sound Waves
Concepts Of Physics MCQ Edition [Volume 1] · Physics · Sound Waves
The density and the bulk modulus of water are both greater than...
The density and the bulk modulus of water are both greater than those of air. Based solely on this information, it can be stated that the velocity of sound in air
Options
- Ais greater than its velocity in water
- Bis less than its velocity in water
- Cis equal to its velocity in water
- Dcannot be compared to its velocity in water
Correct answer
D. cannot be compared to its velocity in water
Step-by-step solution
The velocity of sound in a fluid medium is given by the formula:
where is the bulk modulus and is the density of the medium.
For water and air, the velocities are:
and
It is given that and .
Since both the numerator and the denominator for water are greater than those for air, the ratio could be greater than, less than, or equal to depending on the actual numerical values of these quantities.
Therefore, based solely on the given information, the velocity of sound in air cannot be compared to its velocity in water.
where is the bulk modulus and is the density of the medium.
For water and air, the velocities are:
and
It is given that and .
Since both the numerator and the denominator for water are greater than those for air, the ratio could be greater than, less than, or equal to depending on the actual numerical values of these quantities.
Therefore, based solely on the given information, the velocity of sound in air cannot be compared to its velocity in water.