1
GATE ECE 2000
MCQ (Single Correct Answer)
+2
-0.6
In an FM system, a carrier of 100 MHz is modulated by a sinusoidal signal of 5 KHz. The bandwidth by Carson’s approximation is 1 MHz. If y(t) = (modulated waveform)3, then by using Carson’s approximation, the bandwidth of y(t) around 300 MHz and the and the spacing of spectral components are, respectively.
A
3 MHz, 5 KHz
B
1 MHz, 15 KHz
C
3 MHz, 15 KHz
D
1 MHz, 5 KHz
2
GATE ECE 2000
MCQ (Single Correct Answer)
+1
-0.3
A system described by the transfer function $$$H\left(s\right)=\frac1{s^3+\alpha s^2+ks+3}$$$ is stable. The constraints on $$\alpha$$ and k are,
A
$$\alpha>0,\;\alpha k<3$$
B
$$\alpha>0,\;\alpha k\;>\;3$$
C
$$\alpha\;<\;0,\;\alpha k\;>\;3$$
D
$$\alpha\;>\;0,\;\alpha k\;<\;3$$
3
GATE ECE 2000
MCQ (Single Correct Answer)
+2
-0.6
A linear time invariant system has an impulse response e2t, t > 0. If the initial conditions are zero and the input is e3t, the output for t > 0 is
A
e3t - e2t
B
e5t
C
e3t + e2t
D
None
4
GATE ECE 2000
MCQ (Single Correct Answer)
+1
-0.3
An amplifier with resistive negative feedback has two left half-plane poles in its open-loop transfer function. The amplifier
A
will always be unstable at high frequencies
B
will be stable for all frequencies
C
may be unstable, depending on the feedback factor
D
will oscillate at low frequencies