Home
Class 11
PHYSICS
Assertion : A person wil hear no sound i...

Assertion : A person wil hear no sound if he is moving away from the source of sound with the speed of sound.
Reason : Because the relative velocity of the sound waves with respect to the person is infinite.

A

If both assertion and reason are correct and reason is a correct explanation of the assertion.

B

If both assertion and reason are correct but reason is not the correct explanation of assertion.

C

If assertion is correct but reason is incorrect

D

If assertion is incorrect but reason is correct.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that a person will hear no sound if he is moving away from the source of sound with the speed of sound. ### Step 2: Analyze the Situation Let’s denote: - Speed of sound = \( v \) - Speed of the person = \( v_0 = v \) (since the person is moving away with the speed of sound) ### Step 3: Apply the Doppler Effect Formula The formula for the apparent frequency \( f' \) heard by the observer (the person) when moving away from a stationary source is given by: \[ f' = f_0 \cdot \frac{v - v_0}{v - v_s} \] Where: - \( f_0 \) = original frequency of the sound - \( v \) = speed of sound - \( v_0 \) = speed of the observer (person) - \( v_s \) = speed of the source (which is 0 since the source is stationary) ### Step 4: Substitute the Values Since the person is moving away from the source at the speed of sound: \[ f' = f_0 \cdot \frac{v - v}{v - 0} \] This simplifies to: \[ f' = f_0 \cdot \frac{0}{v} = 0 \] ### Step 5: Conclusion from the Assertion Since the apparent frequency \( f' = 0 \), the person hears no sound. Thus, the assertion is correct. ### Step 6: Analyze the Reason The reason states that the relative velocity of the sound waves with respect to the person is infinite. ### Step 7: Evaluate the Relative Velocity The relative velocity \( v_{relative} \) between the sound and the person is given by: \[ v_{relative} = v - v_0 = v - v = 0 \] This means there is no relative motion between the sound waves and the person. Therefore, the reason is incorrect. ### Final Conclusion - The assertion is correct: A person will hear no sound if he is moving away from the source of sound with the speed of sound. - The reason is incorrect: The relative velocity of sound waves with respect to the person is not infinite; it is zero. ### Final Answer The correct option is: Assertion is correct but reason is incorrect. ---
Promotional Banner

Topper's Solved these Questions

  • WAVES

    MODERN PUBLICATION|Exercise MATCHING TYPE QUESTIONS|3 Videos
  • WAVES

    MODERN PUBLICATION|Exercise MATRIX MATCH TYPE QUESTIONS|3 Videos
  • WAVES

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|88 Videos
  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos
  • WORK, ENERGY AND POWER

    MODERN PUBLICATION|Exercise Chapter Practice Test|16 Videos

Similar Questions

Explore conceptually related problems

What would a person hear, if he moves away from a source of sound with the speed of sound?

A boy moves away from a steady source of sound at a constant speed the sound he hears will

Assertion : The sound emitted by the source travels in all directions. Reason : The relative velocity of sound with respect to the observer is the sum of velocity of sound and velocity of observer.

A source of sound producing wavelength 50 cm is moving away from a stationary observer with (1/5)^(th) speed of sound. Then what is the wavelength of sound received by the observer?

A source of sound producing wavelength 60cm is moving away from a stationary observer, with speed (1)/(4)th of speed of sound. Then the wavelength of sound hear by the observer is

When an observer moves away from a stationary source of sound, the apparent pitch will

A person hears lounder sound at a point in a stationary wave at