QuestionAugust 9, 2025

4/10 If the amplitude of an ultrasound wave is halved, by what factor does the intensity change? A. It is halved (reduced by a factor of 2). B. It remains the same. C. It is quartered (reduced by a factor of 4). That's right! Intensity is proportional to the amplitude squared (Ipropto A^2) If amplitude is halved (1/2) intensity becomes (1/2)^2=1/4 of its original value. D. It doubles (increased by a factor of 2).

4/10 If the amplitude of an ultrasound wave is halved, by what factor does the intensity change? A. It is halved (reduced by a factor of 2). B. It remains the same. C. It is quartered (reduced by a factor of 4). That's right! Intensity is proportional to the amplitude squared (Ipropto A^2) If amplitude is halved (1/2) intensity becomes (1/2)^2=1/4 of its original value. D. It doubles (increased by a factor of 2).
4/10
If the amplitude of an ultrasound wave is halved, by what factor does the
intensity change?
A. It is halved (reduced by a factor of 2).
B. It remains the same.
C. It is quartered (reduced by a factor of 4).
That's right!
Intensity is proportional to the amplitude squared
(Ipropto A^2)
If amplitude is halved
(1/2) intensity becomes
(1/2)^2=1/4
of its original value.
D. It doubles (increased by a factor of 2).

Solution
4.7(288 votes)

Answer

C. It is quartered (reduced by a factor of 4). Explanation 1. Identify the relationship between intensity and amplitude **Intensity is proportional to the square of the amplitude**: I \propto A^2. 2. Calculate the change in intensity If the amplitude is halved, A' = \frac{1}{2}A. The new intensity I' becomes (\frac{1}{2}A)^2 = \frac{1}{4}A^2.

Explanation

1. Identify the relationship between intensity and amplitude<br /> **Intensity is proportional to the square of the amplitude**: $I \propto A^2$.<br /><br />2. Calculate the change in intensity<br /> If the amplitude is halved, $A' = \frac{1}{2}A$. The new intensity $I'$ becomes $(\frac{1}{2}A)^2 = \frac{1}{4}A^2$.
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