A wave of amplitude 20mm has intensity Ix. another wave of the same frequency but of amplitude 5mm has intensity Iy. What is Ix/Ty?
Correct answer: C. 16
- A. 2
- B. 4
- C. 16
- D. 256
Explanation
The intensity of a wave is proportional to the square of its amplitude. Therefore, if a wave has an amplitude of 20 mm and an intensity of I, and another wave has an amplitude of 5 mm and an intensity of I/4 (since the amplitude is one-fourth), then the ratio of their intensities is:I/(I/4) = 4INow, if another wave of the same frequency but of twice the amplitude (i.e., 40 mm) is considered, then its intensity would be:(40/20)^2 * I = 4ITherefore, the ratio of the intensity of this wave to the intensity of the 20 mm amplitude wave is:(4I)/(I) = 4Similarly, the ratio of the intensity of this wave to the intensity of the 5 mm amplitude wave is:(4I)/(I/4) = 16As it is numerical, it can have only one answer.
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