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
In a calm sea, two submarines approach one another. Relative to the...
In a calm sea, two submarines approach one another. Relative to the water, the first submarine moves at while the second submarine moves at . The first submarine emits a sound signal (sonar) with a frequency of . Determine the frequency at which the second submarine receives this signal. Assume the speed of sound waves in water is .
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
Speed of the first submarine (source),
Speed of the second submarine (observer),
Speed of sound in water,
Actual frequency of the signal,
Using the Doppler effect formula for an approaching source and observer:
f' = f \left(\dfrac{v + v_o}{v - v_s} \right)
Substituting the given values:
f' = 2000 \left(\dfrac{1515}{1490} \right)
\dfrac{303000}{149} \approx
Rounding to the nearest integer gives
Speed of the second submarine (observer),
Speed of sound in water,
Actual frequency of the signal,
Using the Doppler effect formula for an approaching source and observer:
f' = f \left(\dfrac{v + v_o}{v - v_s} \right)
Substituting the given values:
f' = 2000 \left(\dfrac{1515}{1490} \right)
\dfrac{303000}{149} \approx
Rounding to the nearest integer gives