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If the amplitude of sound is doubled and the frequency is reduced to one fourth, the intensity of sound at the same point will be [1989]
  • a)
    increasing  by a factor of 2
  • b)
    decreasing by a factor of 2
  • c)
    decreasing by a factor of 4
  • d)
    unchanged
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If the amplitude of sound is doubled and the frequency is reduced to o...
Explanation:

When the amplitude of sound is doubled and the frequency is reduced to one-fourth, the following changes occur:

1. Amplitude is doubled: This means that the maximum displacement of the sound wave from its equilibrium position is doubled. This results in an increase in the intensity of sound.

2. Frequency is reduced to one-fourth: The frequency of sound is directly proportional to its pitch. Therefore, when the frequency is reduced, the pitch of the sound decreases. However, the intensity of sound is inversely proportional to the square of the distance from the source. Therefore, when the frequency is reduced, the intensity of sound decreases.

As a result of these changes, the overall effect on the intensity of sound can be calculated as follows:

1. The increase in amplitude results in an increase in the intensity by a factor of 2.

2. The decrease in frequency results in a decrease in the intensity by a factor of (1/4)² = 1/16.

Therefore, the net effect on the intensity of sound is:

2 x 1/16 = 1/8

This means that the intensity of sound will decrease by a factor of 1/8 or 0.125. Therefore, the correct option is C, i.e., the intensity of sound will decrease by a factor of 4.
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If the amplitude of sound is doubled and the frequency is reduced to o...
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If the amplitude of sound is doubled and the frequency is reduced to one fourth, the intensity of sound at the same point will be [1989]a)increasing by a factor of 2b)decreasing by a factor of 2c)decreasing by a factor of 4d)unchangedCorrect answer is option 'C'. Can you explain this answer?
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If the amplitude of sound is doubled and the frequency is reduced to one fourth, the intensity of sound at the same point will be [1989]a)increasing by a factor of 2b)decreasing by a factor of 2c)decreasing by a factor of 4d)unchangedCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If the amplitude of sound is doubled and the frequency is reduced to one fourth, the intensity of sound at the same point will be [1989]a)increasing by a factor of 2b)decreasing by a factor of 2c)decreasing by a factor of 4d)unchangedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the amplitude of sound is doubled and the frequency is reduced to one fourth, the intensity of sound at the same point will be [1989]a)increasing by a factor of 2b)decreasing by a factor of 2c)decreasing by a factor of 4d)unchangedCorrect answer is option 'C'. Can you explain this answer?.
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