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Signals Systems
Advanced Signals Systems
Quiz 1
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Q.1
A voltage having the waveform of a sine curve is applied across a capacitor. When the frequency of the voltage is increased, what happens to the current through the capacitor?
a) Increases
b) Decreases
c) Remains same
d) Is zero
Q.2
A periodic rectangular signal X (t) has the waveform as shown below. The frequency of the fifth harmonic of its spectrum is ______________
a) 40 Hz
b) 200 Hz
c) 250 Hz
d) 1250 Hz
Q.3
A CRO probe has an impedance ofkΩ in parallel with a capacitance ofpF. The probe is used to measure the voltage between P and Q as shown in the figure. The measured voltage will be?
a) 3.53 V
b) 3.47 V
c) 5.54 V
d) 7.00 V
Q.4
A signal e-at sin (ωt) is the input to a real linear time invariant system. Given K and ∅ are constants, the output of the system will be of the form Ke-bt sin (vt + ∅). The correct statement among the following is __________
a) b need not be equal to a but v must be equal to ω
b) v need not be equal to ω but b must be equal to a
c) b must be equal to a and v must be equal to ω
d) b need not be equal to a and v need not be equal to ω
Q.5
Let us suppose that the impulse response of a causal LTI system is given as h (t). Now, consider the following two statements:
a) Statement 1 is correct and Statement 2 is wrong
b) Statement 2 is correct and Statement 1 is wrong
c) Both Statement 1 and Statement 2 are wrong
d) Both statement 1 and Statement 2 are correct
Q.6
For which of the following a Fourier series cannot be defined?
a) 3 sin (25t)
b) 4 cos (20t + 3) + 2 sin (710t)
c) exp(-|t|) sin (25t)
d) 1
Q.7
A periodic square wave is formed by rectangular pulses ranging from -1 to +1 and period = 2 units. The ratio of the power in the 7th harmonic to the power in the 5th harmonic for this waveform is equal to ____________
a) 1
b) 0.5
c) 2
d) 2.5
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