1
GATE ECE 2004
MCQ (Single Correct Answer)
+1
-0.3
An AM signal and a narrow-band FM signal with identical carriers, modulating signals and modulation indices of 0.1 are added together. The resultant signal can be closely approximated by
A
broadband FM
B
SSB with carrier
C
DSB-SC
D
SSB without carrier
2
GATE ECE 2004
MCQ (Single Correct Answer)
+1
-0.3
An AM signal is detected using an envelope detector. The carrier frequency and modulating signal frequency are 1 MHz and 2 KHz respectively. An appropriate value for the time constant of the envelope detector is
A
500 µsec
B
20 µsec
C
0.2 µsec
D
1 µsec
3
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
A system described by the following differential equation $$$\frac{d^2y}{dt^2}+3\frac{dy}{dt}+2y=x\left(t\right)$$$ is initially at rest. For input x(t) = 2u(t), the output y(t) is
A
$$\left(1-2e^{-t}+e^{-2t}\right)u\left(t\right)$$
B
$$\left(1+2e^{-t}-2e^{-2t}\right)u\left(t\right)$$
C
$$\left(0.5+e^{-t}+1.5e^{-2t}\right)u\left(t\right)$$
D
$$\left(0.5+2e^{-t}+2e^{-2t}\right)u\left(t\right)$$
4
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
Consider the signal flow graph shown in Figure. The gain $$\frac{x_5}{x_1}$$ is GATE ECE 2004 Control Systems - Signal Flow Graph and Block Diagram Question 4 English
A
$$\frac{1-\left(be\;+\;cf\;+\;dg\right)}{abcd}$$
B
$$\frac{bedg}{1-\left(be\;+\;cf\;+\;dg\right)}$$
C
$$\frac{abcd}{1-\left(be\;+\;cf\;+\;dg\right)\;+\;bedg}$$
D
$$\frac{1-\left(be\;+\;cf\;+\;dg\right)\;+\;bedg}{abcd}$$
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