The beat frequency is calculated by taking the absolute difference between two frequencies. To find the lowest beat frequency among the given options, we will perform the calculations:
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10 Hz and 20 Hz: Beat frequency = |10 Hz - 20 Hz| = 10 Hz
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500 Hz and 501 Hz: Beat frequency = |500 Hz - 501 Hz| = 1 Hz
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500 Hz and 600 Hz: Beat frequency = |500 Hz - 600 Hz| = 100 Hz
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10 Hz and 15 Hz: Beat frequency = |10 Hz - 15 Hz| = 5 Hz
Among these options, 500 Hz and 501 Hz produce the lowest beat frequency of 1 Hz.