Answer #1 | 22/12 2013 18:47
Well the answer pops right out of the relation between frequency and period, which is: f = 1 / T Where f is frequency and T is period. So what happens when you increase f? Well let's say that f = 2. So we can find the period when f = 2: 2 = 1 / T, T = 1 / 2 Now what if f = 4? 4 = 1 / T, T = 1 / 4 When f = 2, T = 1/2 and when f = 4, T = 1/4. So what happened when we increased f? T got smaller. So what happens if we decrease f? T gets bigger. Thus the period of a wave increases as its frequency decreases.
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