# AC Fundamentals – 46

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46. A sine wave with a period of 4 ms is changing at a faster rate than a sine wave with a period of ________.

(a) 0.0045 s
(b) 2 ms
(c) 1.5 ms
(d) 3,000 μs

Explanation
Explanation :

f = 1/t
Frequencyis indirectly proportional to time.

Q = f = 1/4 ms = 1000/4 = 250
A = f = 1/0.0045 s = 222. 22
B = f = 1/2 ms = 1000/2 = 500
C = f = 1/1.5 ms = 1000/1.5 = 666.66
D = f = 1/3,000 μs = 10,00,000/3000 = 333.33

Here Option A is 4.5 ms which is the larger time period from given options comparing with 4 ms. So, Option A is the correct answer.

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