The continuous time system with impulse response h(t) = is stable, for n is even

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Question
The continuous time system with impulse response h(t) = is stable, for n is even, when
Options
A. a = 0
B. a > 0
C. a < 0
D. a ? 0

Correct Answer

a < 0

Explanation

The continuous time system with impulse response h(t) = is stable, for n is even, when a = 0 a > 0 a

The continuous time system with impulse response h(t) = is stable, for n is even, when a = 0 a > 0 a

The continuous time system with impulse response h(t) = is stable, for n is even, when a = 0 a > 0 a

The continuous time system with impulse response h(t) = is stable, for n is even, when a = 0 a > 0 a

For stable system exponential must be -ve so that a < 0.

Signals and Systems problems

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1. An impulse function consist of
Options
A. pure dc
B. pure a.c
C. entire frequency range with constant phase
D. infinite bandwidth with linear phase vaariations

2. Consider Pole zero diagram as shown, If two Poles are moved in opposite direction towards ? = p/2 and -p/2, the filter will be
Options
A. change to high pass filter
B. change to Band Pass filter
C. remains same
D. change to LPF

4. In an ac circuit the fundamental component of current wave lags the corresponding voltage wave by 20�. The third harmonic component of current wave lags the corresponding voltage by an angle.
Options
A. less than 20�
B. more than 20�
C. equal to 20�
D. equal to or more than 20�

6. For a given voltage, four heating coils will produce maximum heat when connected
Options
A. all in parallel
B. all in series
C. with two parallel pairs in series
D. one pair in parallel with the other two in series

7. A radar receiver has a noise figure of 10 dB at 300 K having a bandwidth of 2.5 MHz. The minimum power it can receive is
Options
A. 3.45 x 10^-15 W
B. 1.38 x 10^-15 W
C. 7.5 x 10^-15 W
D. 93.15 x 10^-15 W

8. Consider the probability density f(x) = ae^-b|x| where x is a random variable whose allowable values range from x = - ? to x = + ?. P(1 ? x ? 2)
Options
A.
B.
C.
D. (e^-b - e^-2b)

9. Find 'X' in the circuit below :

f₁(A, B, C, D) = ?(6, 7, 13, 14);
f₂(A, B, C, D) = ?(3, 6, 7);
f₃(A, B, C, D) = ?(5, 6, 7, 14, 15)
Options
A. p(0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15)
B. 0
C. ?(14)
D. 1

10. The gradient of any scalar field always yields __________ .
Options
A. a solenoidal field
B. a conservative field
C. an irrotational field
D. none of these

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