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- Question
Which one is a linear system?
Options- A. y[n] = x[n] x x[n - 1]
- B. y[n] = x[n] + x[n - 10]
- C. y[n] = x2[n]
- D. (a) and (c)
- Correct Answer
- y[n] = x[n] + x[n - 10]
ExplanationFor linearityy1[n] = x1[n] + x2[n - 10] ...(1)
y2 = x2[n] + x2[n - 10] ...(2)
y1[n] = x1[n] + x2[n] + x2[n - 10] + x2[n - 10] ...(3)
Now find y1[n] + y2[n]
Corresponding to x1[n] + x2[n]
It is same as equation (3) hence linear.
But in part (c) y[n] = x2[n]
? y1[n] = x21[n], y2[n] = x22[n]? y1[n] + y2[n] = x22[n]...3
But y1[n] + y2[n]
Corresponing x1[n] + x2[n] is y1[n] + y2[n] = {x1[n] + x2[n]}2
= x12[n] + x22[n] + 2x1[n] x2[n]....4
Equations (3) and (4) are not same hence not linear.
More questions
- 1. The characteristic impedance of a cable is about
Options- A. 300 ?
- B. 50 ?
- C. 5 ?
- D. 2 ? Discuss
Correct Answer: 50 ?
- 2. A copper atom is neutral. Its core has a net charge of
Options- A. 0
- B. + 1
- C. - 1
- D. + 2 Discuss
Correct Answer: + 1
- 3. The characteristics of which device has peak point and valley point
Options- A. SCR
- B. PUT
- C. SCS
- D. Shockley diode Discuss
Correct Answer: PUT
- 4. Schrodinger wave equation is partial differential equation.
Options- A. True
- B. False Discuss
Correct Answer: True
- 5. The output frequency of a cycloconverter can be changed by changing the firing angle.
Options- A. True
- B. False Discuss
Correct Answer: False
- 6. Most of the memory chips in static RAM
Options- A. do not require any supply
- B. need 2 V supply
- C. need 5 V supply
- D. need 12 V supply Discuss
Correct Answer: need 5 V supply
Explanation:
Digital chips need 5 V supply.- 7. In crystalline solids, atoms are stacked in a regular manner.
Options- A. True
- B. False Discuss
Correct Answer: True
- 8. The classes of solid dielectrics are
Options- A. A, B, C, D, E, F, H
- B. A E B F H C D
- C. Y A E B F H C
- D. A E B F H C Discuss
Correct Answer: Y A E B F H C
- 9. The unit for mmf is
Options- A. A
- B. Wb
- C. T
- D. V Discuss
Correct Answer: A
- 10. In a single phase full wave regulator, the firing angles in the positive and negative half cycles are generally
Options- A. equal
- B. different
- C. equal or different
- D. different but sometimes equal Discuss
Correct Answer: equal
Explanation:
Firing angles are kept equal to get symmetrical output voltage.
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