List of practice Questions

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:

For the given circuit, the diode \( D \) is ideal. The power dissipated by the \( 300\ \Omega \) resistor is:

In the circuit shown, the ideality factor \( \eta \) of the diode is unity and the voltage drop across it is 0.7 V. The dynamic resistance of the diode at room temperature is approximately:

A shaft encoder attached to a DC motor has a sensitivity of 500 pulses per revolution. A frequency meter connected to the encoder output indicates 5500 Hz. The speed of the motor in rpm is:

Force on a current-carrying conductor placed in a magnetic field is given by:

The total inductance of two inductances \(L_1\) and \(L_2\) with series opposing connection and mutual inductance \(M\) is:

The rank correlation coefficient between the marks in two subjects of a class is 0.8. The sum of the squares of the differences between the ranks is 33. Then the number of students is:

The maximum value of the directional derivative of \( \varphi = x^2 yz \) at the point \( (1, 4, 1) \) is: