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Question: 23 of 66: If you increase the frequency of a sound wave four times, what will happen to its speed?Select one of the options below as your answer: A. The speed will increase four times. B. The speed will decrease four times. C. The speed will remain the same. D. The speed will increase twice. E. The speed will decrease twice.
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You can relate the speed of a wave to its frequency and wavelength by the wave-speed equation:\[c_0=\nu\lambda\]If you substitute the frequency with 4 times the frequency:\[c_4=(4\nu)\lambda=4(\nu\lambda)\]If you take the final speed divided by the initial speed, you'll find how much the speed increased:\[\frac{c_4}{c_1}=\frac{4(\nu\lambda)}{\nu\lambda}=4\]
so what's the answer
4 times i guess
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