1
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
A discrete - time signal x[n] = $${\rm{sin(}}\,{\pi ^2}n)$$, n being an integer is
A
periodic with period $$\pi$$
B
periodic with period $$\,{\pi ^2}$$
C
periodic with period is $$\pi /2$$
D
not periodic.
2
GATE ECE 2013
MCQ (Single Correct Answer)
+1
-0.3
For a periodic signal v(t) = 30 sin 100t + 10cos 300t + 6sin $${\rm{(500t + }}\,\pi /4)$$, the fundamental frequency in rad/s is
A
100
B
300
C
500
D
1500
3
GATE ECE 2010
MCQ (Single Correct Answer)
+1
-0.3
Consider an angle modutated signal $$x(t) = 6\,\,\cos \,[2\,\pi \, \times {10^6}t + 2\sin (8000\pi t)\,4\cos (8000\pi t)]$$ V.

The average power of x(t) is

A
10 W
B
18 W
C
20 W
D
28 W
4
GATE ECE 2006
MCQ (Single Correct Answer)
+1
-0.3
A solution for the differential equation $$\mathop x\limits^. $$(t) + 2 x (t) = $$\delta (t)$$ with intial condition $$x({0^ - }) = 0$$ is
A
$${e^{ - 2t}}\,u(t)$$
B
$${e^{2t}}\,u(t)$$
C
$${e^{ - t}}\,u(t)$$
D
$${e^t}\,u(t)$$
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