MCQOPTIONS
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MCQOPTIONS
This section includes 13 Mcqs, each offering curated multiple-choice questions to sharpen your Signals Systems knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The Fourier transform (FT) of a function x (t) is X (f). The FT of \(\frac{dx(t)}{dt}\) will be ___________ |
| A. | \(\frac{dX(f)}{df}\) |
| B. | 2πjf X(f) |
| C. | X(f) jf |
| D. | \(\frac{X(f)}{jf}\) |
| Answer» C. X(f) jf | |
| 2. |
The power in the signal (t) = 8cos (20πt – \(\frac{π}{2}\)) + 4sin (15πt) is equal to ______________ |
| A. | 40 |
| B. | 42 |
| C. | 41 |
| D. | 82 |
| Answer» B. 42 | |
| 3. |
The auto-correlation function of a rectangular pulse of duration T is _____________ |
| A. | A rectangular pulse of duration T |
| B. | A rectangular pulse of duration 2T |
| C. | A triangular pulse of duration T |
| D. | A triangular pulse of duration 2T |
| Answer» E. | |
| 4. |
If the Laplace transform of f (t) = \(\frac{w}{s^2+w^2}\). The value of limt→∞ f(t) is ____________ |
| A. | Cannot be determined |
| B. | Zero |
| C. | Unity |
| D. | Infinity |
| Answer» C. Unity | |
| 5. |
Two sequences x1 (n) and x2 (n) are related by x2 (n) = x1 (- n). In the z-domain, their region of convergences are _______________ |
| A. | The same |
| B. | Reciprocal of each other |
| C. | Negative of each other |
| D. | Complementary |
| Answer» C. Negative of each other | |
| 6. |
If a signal f(t) has energy E, the energy of the signal f(100t) is equal to ____________ |
| A. | E |
| B. | 100E |
| C. | E/100 |
| D. | 400E |
| Answer» D. 400E | |
| 7. |
The CT supplies current to the current coil of a power factor meter, energy meter and, an ammeter. These are connected as? |
| A. | All coils in parallel |
| B. | All coils in series |
| C. | Series-parallel connection with two in each arm |
| D. | Series-parallel connection with one in each arm |
| Answer» C. Series-parallel connection with two in each arm | |
| 8. |
A PT is a device which is ___________ |
| A. | Electrostatically coupled |
| B. | Electrically coupled |
| C. | Electromagnetically coupled |
| D. | Conductively coupled |
| Answer» D. Conductively coupled | |
| 9. |
Given a signal f (t) = 3t2+2t+1, which is multiplied by 2 unit delayed version of impulse and integrated over period -∞ to ∞. The resultant is ______________ |
| A. | 1 |
| B. | 6 |
| C. | 17 |
| D. | 16 |
| Answer» D. 16 | |
| 10. |
One of the types of signal is an Impulse train. The type of discontinuity in an impulse train is ______________ |
| A. | Infinite |
| B. | Zero |
| C. | One |
| D. | Finite |
| Answer» B. Zero | |
| 11. |
The auto correlation of x(t) = e-atu(t) is ________________ |
| A. | \(\frac{e^{-at}}{a^2} \) |
| B. | \(\frac{e^{-at}}{2a} \) |
| C. | \(\frac{e^{-aλ}}{a^2} \) |
| D. | \(\frac{e^{-aλ}}{2a} \) |
| Answer» E. | |
| 12. |
Convolution of step signal 49 times that is 49 convolution operations. The Laplace transform is ______________ |
| A. | \(\frac{1}{s^{49}} \) |
| B. | \(\frac{1}{s^{50}} \) |
| C. | 1 |
| D. | s49 |
| Answer» B. \(\frac{1}{s^{50}} \) | |
| 13. |
The resulting signal when a continuous time periodic signal x(t) having period T, is convolved with itself is ___________ |
| A. | Non-Periodic |
| B. | Periodic having period 2T |
| C. | Periodic having period T |
| D. | Periodic having period T/2 |
| Answer» D. Periodic having period T/2 | |