List of practice Questions

The system \( G(s) = \frac{0.8}{s^2 + s - 2} \) is subjected to a step input. The system output \( y(t) \) as \( t \rightarrow \infty \) is:

If the transfer function of a system is \( G(s) = \frac{A}{s^2 + \omega^2} \), then the steady state gain of the system to a unit step input is:

Consider a unity feedback control system whose forward path transfer function is \( G(s) = \frac{K}{s^2} \). The steady state error for a step input is:

The instrument that does not have any restoring torque is

An ammeter with input resistance of 50 $\Omega$ gives full scale deflection for 50 $\mu$A current.
The input resistance of a 0–1 mA ammeter obtained by connecting a shunt across the 0–50 $\mu$A meter will be:

Match the parameter (List-1) with the type of bridge (List-2) used for measurement:

Wien bridge is best suited for the measurement of

If the open loop transfer function of the negative feedback control system is \[ G(s)H(s) = \frac{k}{(s+1)^3}, \] then the gain $k$ for a closed loop pole at \[ \left( \frac{1}{2} + j\frac{\sqrt{3}}{2} \right) \] is:

A transfer function has two zeros at infinity. Then the relation between the numerator degree (N) and the denominator degree (M) of the transfer function is:

The transfer function of the system is the Laplace transform of its

Find the inverse Fourier transform of \( F(f) = \frac{3\pi f}{1 + j\pi f} \)

A signal \( x(t) = 5 \cos(150\pi t - 60^\circ) \) is sampled at 200 Hz. The fundamental period of the sampled sequence \( x(n) \) is:

A bandlimited signal with highest frequency content of 1000 Hz is undergoing uniform sampling. The minimum sampling frequency required to recover the original signal is:

Match the modulation (List-1) with the type of demodulator (List-2):

A phase locked loop can be employed for demodulation of

In an FM Broadcast, the maximum frequency deviation allowed is 75 kHz and the maximum modulation frequency is 15 kHz. The bandwidth is closest to

The type of A/D converter normally used in a 3 ½ digit multimeter is

Which of the following sequence \( f(n) \) has z-transform \( X(z) = e^{1/z} \)?

If a real function \( f(t) \) has a Fourier Transform \( F(\omega) \), then the Fourier transform of \( f(t) - f(-t) \) is:

A computer has a memory space of \( 2^{16} \) and word length of 24 bits. Each memory chip has 10 address lines and 8 data lines. Number of chips required is:

The Boolean expression \( \overline{A + B + \overline{C}} \) is equal to:

An ideal op-amp has the characteristic of an ideal:

For the active filter shown, the DC gain and the 3 dB cutoff frequency are nearly: \[ C_1 = 1.0\ \text{nF},\ R_1 = 15.9\ \text{k}\Omega,\ R_2 = 159\ \text{k}\Omega \]

The output voltage \(V_o\) of the circuit is:

A forward-biased silicon diode has a voltage drop of 0.64 V at negligible current. When the current is 1 A and it dissipates 1 W, the ON resistance of the diode is: