Electronics and Communication Gate 2013 Set-1 Questions with Answer

Ques 40 GATE 2013 SET-1

A polynomial f(x) = a₄x⁴ + a₃x³ + a₂x² + a₁x − a₀ with all coefficients positive has

Ques 41 GATE 2013 SET-1

Let U and V be two independent zero mean Gaussian random variables of variances 1/4 and 1/9 respectively. The probability P(3V ≥ 2U) is

Ques 42 GATE 2013 SET-1

Let A be an m×n matrix and B an n×m matrix. It is given that determinant (I_m + AB) = determinant (I_n + BA), where I_k is the k×k identity matrix. Using the above property, the determinant of the matrix given below is

Ques 43 GATE 2013 SET-1

Consider two identically distributed zero-mean random variables U and V. Let the cumulative distribution functions of U and 2V be F(x) and G(x) respectively. Then, for all values of x

Ques 44 GATE 2013 SET-1

For 8085 microprocessor, the following program is executed.
MVI A, 05H;
MVI B, 05H;
PTR: ADD B;
DCR B;
JNZ PTR;
ADI 03H;
HLT;
At the end of program, accumulator contains

Ques 45 GATE 2013 SET-1

There are four chips each of 1024 bytes connected to a 16 bit address bus as shown in the figure below. RAMs 1, 2, 3 and 4 respectively are mapped to addresses

Ques 46 GATE 2013 SET-1

Consider a delta connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor k, k > 0, the elements of the corresponding star equivalent will be scaled by a factor of

Ques 47 GATE 2013 SET-1

The transfer function V₂(s)/V₁(s) of the circuit shown below is

Ques 48 GATE 2013 SET-1

A source v_s(t) = V cos 100πt has an internal impedance of (4 + j3) Ω. If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in Ω should be

Ques 49 GATE 2013 SET-1

In the circuit shown below, if the source voltage V_S = 100∠53.13° V then the Thevenin's equivalent voltage in Volts as seen by the load resistance R_L is

Ques 50 GATE 2013 SET-1

The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of 0.8. An ac voltage V_WX1 = 100V is applied across WX to get an open circuit voltage V_YZ1 across YZ. Next, an ac voltage V_YZ2 = 100V is applied across YZ to get an open circuit voltage V_WX2 across WX. Then, V_YZ1/V_WX1, V_WX2/V_YZ2 are respectively,

Ques 51 GATE 2013 SET-1

Two magnetically uncoupled inductive coils have Q factors q₁ and q₂ at the chosen operating frequency. Their respective resistances are R₁ and R₂. When connected in series, their effective Q factor at the same operating frequency is

Ques 52 GATE 2013 SET-1

Three capacitors C₁, C₂ and C₃ whose values are 10μF, 5μF, and 2μF respectively, have breakdown voltages of 10V, 5V, and 2V respectively. For the interconnection shown below, the maximum safe voltage in Volts that can be applied across the combination, and the corresponding total charge in μC stored in the effective capacitance across the terminals are respectively,