If , the coefficient of term e-t in f(t) will be 1 0 0.5 2/3 Coefficient of e-t

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Question
If , the coefficient of term e^-t in f(t) will be
Options
A. 1
B. 0
C. 0.5
D. 2/3

Correct Answer

2/3

Explanation

Coefficient of e^-t =

If , the coefficient of term e-t in f(t) will be 1 0 0.5 2/3 Coefficient of e-t = .

.

Signals and Systems problems

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1. Assertion (A): If , the initial value of i(t) is 5A
Reason (R): As per initial vaue theroem
Options
A. Both A and R are correct and R is correct explanation of A
B. Both A and R are correct but R is not correct explanation of A
C. A is true, R is false
D. A is false, R is true

3. If transfer function of a system is H(z) = 6 + z^-1 + z^-2 then system is
Options
A. minimun phase
B. maximum phase
C. mixed phase
D. none

4. The Fourier series of an odd periodic function contains
Options
A. odd harmonics only
B. even harmonics only
C. cosine harmonics only
D. sine harmonics only

5. The ROC of sequence in the Z.T. of sequence x[n] = aⁿ ? [n] is
Options
A. z > a
B. z < a
C. |z| > a
D. |z| < a

6. 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�

8. 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

9. 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

10. 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

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