The number of chords in the graph of the given circuit will be

•  (A) 3
•  (B) 4
•  (C) 5
•  (D) 6

The Thevenin’s equivalent of a circuit operation at ω = 5 rads/s, has $V_{\mathrm{oc}}=3.71\angle -15.9°V\mathrm{and} Z_{\mathrm{o}}=2.38-j0.667\Omega .$At this frequency, the minimal realization of the Thevenin’s impedance will have a

•  (A) resistor and a capacitor and an inductor
•  (B) resistor and a capacitor
•  (C) resistor and an inductor
•  (D) capacitor and an inductor

A signal $e^{-\alpha t}\sin \left(\omega t\right)$ is the input to a real Linear Time Invariant system. Given K and $\phi$ are constants, the output of the system will be of the form $\style{font-size:18px}{Ke^{-\beta t}\sin\left(\nu t+\phi\right)}$ where

•  (A) β need not be equal to α but v equal to ω
•  (B) v need not be equal to ω but β equal to α
•  (C) β equal to α and v equal to ω
•  (D) β need not be equal to α and v need not be equal to ω

X  is a uniformly distributed random variable that takes values between 0 and 1.The value of E{X³} will be

•  (A) 0
•  (B) 1/8
•  (C) 1/4
•  (D) 1/2

The characteristic equation of a (3X3) matrix P is defined as

$\alpha \left(\lambda \right)=|\lambda \mathbf{I}-\mathbf{P}|={\lambda }^3+{\lambda }^2+1=0$

If I denotes identity matrix, then the inverse of  matrix P will be

•  (A) (P²+P+2I)
•  (B) (P²+P+I)
•  (C) -(P²+P+I)
•  (D) -(P²+P+2I)

If the rank of a (5X6) matrix Q is 4, then which one of the following statement is correct ?

•  (A) Q  will have four linearly independent rows and four linearly independent columns
•  (B) Q  will have four linearly independent rows and five linearly independent columns
•  (C) QQ^T will be invertible
•  (D) Q^TQ will be invertible

A function y(t) satisfies the following differential equation :

$\frac{dy\left(t\right)}{dt}+y\left(t\right)=\delta \left(t\right)$

where δ(t) is the delta function. Assuming zero initial condition, and denoting the unit step function by u(t), y(t) can be of the form

•  (A) e^t
•  (B) e^-t
•  (C) e^tu(t)
•  (D) e^-tu(t)

The equivalent circuits of a diode, during forward biased and reverse biased conditions, are shown in the figure.

If such a diode is used in clipper circuit of figure given above, the output voltage V₀ of the circuit will be(A)(A)

Two 8-bit ADCs, one of single slope integrating type and other of successive approximation type, take T_A  and T_B times to convert 5 V analog input signal to equivalent digital output. If the input analog signal is reduced to 2.5 V, the approximate time taken by the two ADCs will respectively, be

•  (A) T_A,T_B
•  (B) T_A/2,T_B
•  (C) T_A,T_B/2
•  (D) T_A/2,T_B/2

An input device is interfaced with Intel 8085A microprocessor as memory mapped I/O. The address of the device is 2500H. In order to input data from the device to accumulator, the sequence of instructions will be

•  (A) LXI H, 2500H
        MOV A, M
•  (B) LXI H, 2500H
         MOV M, A
•  (C) LHLD 2500H
         MOV A, M
•  (D) LHLD 2500H
         MOV M, A

Distributed winding and short chording employed in AC machines will result in

•  (A) increase in emf and reduction in harmonics
•  (B) reduction in emf and increase in harmonics
•  (C) increase in both emf and harmonics
•  (D) reduction in both emf and harmonics

Three single-phase transformer are connected to form a 3-phase transformer bank.The transformers are connected in the following manner :

The transformer connecting will be represented by

•  (A) Y d0
•  (B) Y d1
•  (C) Y d6
•  (D) Y d11

In a stepper motor, the detent torque means

•  (A) minimum of the static torque with the phase winding excited
•  (B) maximum of the static torque with the phase winding excited
•  (C) minimum of the static torque with the phase winding unexcited
•  (D) maximum of the static torque with the phase winding unexcited

A two machine power system is shown below. Transmission line XY has positive sequence impedance of Z₁Ω and zero sequence impedance of Z₀Ω

An ‘a’ phase to ground fault with zero fault impedance occurs at the centre of the transmission line. Bus voltage at X and line current from X to F for the phase ‘a’,
are given by V_a  Volts and I_a amperes, respectively. Then, the impedance measured by the ground distance relay located at the terminal X of line XY will be given by

•  (A) $\raisebox{1ex}{${\mathrm{Z}}_1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.\mathrm{\Omega }$
•  (B) $\raisebox{1ex}{${\mathrm{Z}}_0$}\!\left/ \!\raisebox{-1ex}{$2$}\right.\mathrm{\Omega }$
•  (C) $\left({\mathrm{Z}}_0+{\mathrm{Z}}_1\right)/2\mathrm{\Omega }$
•  (D) ${\mathrm{V}}_{\mathrm{a}}/{\mathrm{I}}_{\mathrm{a}}\mathrm{\Omega }$

An extra high voltage transmission line of length 300 km can be approximateD by a lossless line having propagation constant β = 0.00127  radians per km. Then the
percentage ratio of line length to wavelength will be given by

•  (A) 24.24 %
•  (B) 12.12 %
•  (C) 19.05 %
•  (D) 6.06 %

A 3-phase transmission line is shown in figure :

Voltage drop across the transmission line is given by the following equation :

$\left[\begin{array}{c}\Delta V_a\\ \Delta V_b\\ \Delta V_c\end{array}\right]=\left[\begin{array}{ccc}{Z}_s& Z_m& Z_m\\ Z_m& Z_s& Z_m\\ Z_m& Z_m& Z_s\end{array}\right]\left[\begin{array}{c}{I}_a\\ I_b\\ I_c\end{array}\right]$

Shunt capacitance of the line can be neglected. If the has positive sequence impedance of 15 Ω  and zero sequence impedance of 48 Ω, then the  values of Z_s and Z_m  will be

•  (A) Z_s=31.5Ω;Z_m=16.5Ω
•  (B) Z_s=26Ω;Z_m=11Ω
•  (C) Z_s=16.5Ω;Z_m=31.5Ω
•  (D) Z_s=11Ω;Z_m=26Ω

 In the single phase voltage controller circuit shown in the figure, for what range of triggering angle (α) , the input voltage (V₀) is not controllable ?

•  (A) 0°< α <45°
•  (B) 0°< α <135°
•  (C) 90°< α <180°
•  (D) 135°< α <180°

A 3-phase Voltage Source Inverter is operated in 180° conduction mode. Which one of the following statements is true ?

•  (A) Both pole-voltage and line-voltage will have 3^rd harmonic components
•  (B) Pole-voltage will have 3^rd harmonic component but line-voltage will be free from 3^rd harmonic
•  (C) Line-voltage will have 3^rd harmonic component but pole-voltage will be free from 3^rd harmonic
•  (D) Both pole-voltage and line-voltage will be free from 3^rd harmonic components

The impulse response of a causal linear time-invariant system is given as h(t) . Now consider the following two statements :
Statement (I): Principle of superposition holds
Statement (II):h(t)=0 for t<0
Which one of the following statements is correct ?

•  (A) Statements (I) is correct and statement (II) is wrong
•  (B) Statements (II) is correct and statement (I) is wrong
•  (C) Both Statement (I) and Statement (II) are wrong
•  (D) Both Statement (I) and Statement (II) are correct

It is desired to measure parameters of 230 V/115 V, 2 kVA,single-phase transformer. The following wattmeters are available in a laboratory:
W₁ : 250 V, 10 A, Low Power Factor
W₂ : 250 V, 5 A, Low Power Factor
W₃ : 150 V, 10 A, High Power Factor
W₄ : 150 V, 5 A, High Power Factor
The Wattmeters used in open circuit test and short circuit test of the transformer will respectively be

•  (A) W₁ and W₂
•  (B) W₂ and W₄
•  (C) W₁ and W₄
•  (D) W₂ and W₃