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A sonographer increases the amplitude of a wave by a factor of 3. How has the power changed?

A. It has tripled.
B. It has increased by a factor of 6.
C. It has decreased by a factor of 3.
D. It remains the same.

1 Answer

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Final answer:

When a sonographer increases the amplitude of a wave by a factor of 3, the power of the wave is increased by a factor of 9.

Step-by-step explanation:

When a sonographer increases the amplitude of a wave by a factor of 3, the power of the wave also changes. In wave mechanics, the power of a wave is directly proportional to the square of the amplitude. Therefore, if the amplitude is increased by a factor of 3, the power is increased by a factor of 3 squared, which is 9.

The correct answer to how the power has changed when the amplitude of a wave has been increased by a factor of 3 is:

A. It has been increased by a factor of 9.

User Daniel Naber
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