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1
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
2
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
3
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
$${e^t}\,u(t)$$
4
GATE ECE 2006
MCQ (Single Correct Answer)
+1
-0.3
The Dirac delta function $$\delta (t)$$ is defined as
A
$$\delta (t) = \left\{ {\matrix{ {1,} & {t = 0} \cr {0,} & {otherwise} \cr } } \right.$$
B
$$\delta (t) = \left\{ {\matrix{ {\infty ,} & {t = 0} \cr {0,} & {otherwise} \cr } } \right.$$
C
$$\delta (t) = \left\{ {\matrix{ {1,} & {t = 0} \cr {0,} & {otherwise\,\,\,and\,\,\int\limits_{ - \infty }^\infty {\delta (t)\,dt = 1} } \cr } } \right.\,\,$$
D
$$\delta (t) = \left\{ {\matrix{ {\infty ,} & {t = 0} \cr {0,} & {otherwise\,\,\,and\,\,\int\limits_{ - \infty }^\infty {\delta (t)\,dt = 1} } \cr } } \right.\,\,$$
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General Aptitude
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Discrete Time Signal Fourier Series Fourier Transform Continuous Time Signal Laplace Transform Fourier Transform Discrete Fourier Transform and Fast Fourier Transform Representation of Continuous Time Signal Fourier Series Discrete Time Linear Time Invariant Systems Transmission of Signal Through Continuous Time LTI Systems Transmission of Signal Through Discrete Time Lti Systems Miscellaneous Continuous Time Linear Invariant System Discrete Time Signal Z Transform Sampling
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Probability and Statistics Linear Algebra Complex Variable Transform Theory Vector Calculus Differential Equations Calculus Numerical Methods
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Frequency Response Operational Amplifier Power Amplifier Diodes Oscillators Feedback Amplifier 555 Timer Bipolar Junction Transistor FET and MOSFET
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