List of top Questions asked in Telangana State Post Graduate Engineering Common Entrance Test

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:

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:

An integral controller is used to:

A first order system with a proportional controller exhibits an offset to step input. The offset can be reduced by:

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:

The transfer function between \( y_2 \) and \( y_1 \) in the figure shown is:

A temperature control system is usually very sluggish. To improve its dynamics:

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:

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:

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

Wien bridge is best suited for the measurement of

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

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:

A phase locked loop can be employed for demodulation of

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:

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

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:

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

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

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

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

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

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: