# Network Theory Questions and Answers – Angular Relation of a Sine Wave

This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Angular Relation of a Sine Wave”.

1. The response of a second order system is?
a) pulse
b) saw tooth
c) square
d) sinusoid

Explanation: The response of a second order system is sinusoid. Any periodic waveform can be written in terms of sinusoidal function according to Fourier transform.

2. If a function f(t) is periodic, then?
a) f(t) = f(t+T)
b) f(t) = f(t+T/2)
c) f(t) = f(t+T/4)
d) f(t) = f(t+T/8)

Explanation: If a function f(t) is periodic, then f(t) = f(t+T) in general we can say that a function f(t) is periodic, then f(t) = f(t+nT) for all integer values of n.

3. The period of a function is measured as?
a) zero crossing of one cycle to zero crossing of next cycle
b) positive peak of one cycle to positive peak of next cycle
c) negative peak of one cycle to negative peak of next cycle
d) all of the mentioned

Explanation: The period of a function is measured as zero crossing of one cycle to zero crossing of next cycle or positive peak of one cycle to positive peak of next cycle or negative peak of one cycle to negative peak of next cycle.

4. The number of cycles a wave completes in one second is called?
a) time period
b) frequency
c) energy
d) wavelength

Explanation: The number of cycles a wave completes in one second is called frequency. And the time period is the inverse of frequency.

5. The relation between frequency and time period is?
a) f=1/T
b) f=T
c) f=1/T2
d) f=1/T3

Explanation: The relation between frequency and time period is f=1/T. So the frequency and time period are inversely proportional to each other.

6. The period of a sine wave is 40ms. What is the frequency?
a) 25
b) 50
c) 75
d) 100

Explanation: We know that the frequency and time period are inversely proportional to each other. So f = 1/T = 1/40ms = 25Hz.

7. The frequency of a sine wave is 30Hz. What is its period?
a) 3333ms
b) 333.3ms
c) 33.33ms
d) 3.333ms

Explanation: We know that the frequency and time period are inversely proportional to each other. So T=1/f =1/30=0.03333s=33.33ms.

8. A sine wave completes half cycle in ____ radians.
a) π/2
b) π
c) π/4
d) 2π

Explanation: The period of a sine wave is 360⁰ or 2π radians. So, a sine wave takes 90⁰ or π/2 radians to complete a half cycle.

9. A sine wave completes quarter cycle in ____ radians.
a) 2π
b) π
c) π/2
d) π/4

Explanation: The period of a sine wave is 360⁰ or 2π radians. So, a sine wave takes 45⁰ or π/4 radians to complete a quarter cycle.

10. A sine wave completes full cycle in ____ radians.
a) π
b) 2π
c) π/4
d) π/2

Explanation: The period of a sine wave is 360⁰ or 2π radians. So, a sine wave takes 90⁰ or 2π radians to complete a full cycle.

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