GAT ECE Online Practice Mock Test Mcqs

1. Select the correct alternative from the given choices.

A system is described by the following state and output equations

dx₁(t)/dt= -3x₁(t)+x₂(t)+2u(t)

dx₂(t)/dt= -x₂(t)+u(t)

y(t)=x₁(t)

where u(t) is the input and y(t) is the output.

The state-transition matrix of the system is?

2. Select the correct alternative from the given choices.

Let E= (-200a_x + 30a_y + 70a_z) cos 10⁴t V/m at point 'p' which lies on the surface of a perfect conductor P (3, -4, 1). If a material adjacent to the conductor has ∈_r =5, µ_r =0, σ = 0, then surface charge density on the conductor surface at P (in n C/m²)

3. Select the correct alternative from the given choices.

For the circuit shown in the fig. determine the maximum power through R.

4. Select the correct alternative from the given choices.

In a microprocessor the register which holds the address of the next instruction to be fetched is?

5. Select the correct alternative from the given choices.

A mod - 16 counter with negative edge triggering clock pulse is modified, with Reset input as shown in fig (a). The modified counter is connected as shown in fig (b). So the counter in fig (b) works like

6. Select the correct alternative from the given choices.

A resistively loaded and respectively biased differential amplifier circuit is shown in circuit. Neglect base current and assume matched transistors with β=100.

use, V_T= 26 mV, V_BE (on)= 0.7 V, V_CE (sat)=0.1 V

Find R_E and R_C when differential mode gain (Double ended)= -500 and common mode rejection ratio =500

Differential mode input resistance= 2 MΩ

7. Select the correct alternative from the given choices.

What is the function of diode (D)?

8. Select the correct alternative from the given choices.

Consider the system shown in figure. For damping ratio 0.5, the value of 'a' is?

9. Select the correct alternative from the given choices.

There are three bags each containing five white balls and two black balls constituting group A and two bags each containing one white ball and four black balls constituting group B. A bag is randomly selected and a ball is drawn from it. It was found to be a black ball. What is the probability that the ball is drawn from a bag in group A?

10. Select the correct alternative from the given choices.

Under high electric fields, in a semiconductor with increasing electric field.

11. Select the correct alternative from the given choices.

The directional derivative of the function

f(x)= 2x² - y²+3z² at A(2,1 -2) in the direction of PQ= i - 2j+2k is?

12. Select the correct alternative from the given choices.

The electric field intensity of a linearly polarized uniform plane wave propagating in the +z direction in sea water is E=a_x cos(10⁷ πt) V/m at z=0. The constitutive parameters of sea water are ∈_r =72, µ_r =1&σ =4 S/m.

Attenuation constant, phase constant are?

13. Select the correct alternative from the given choices.

If the transistors in circuit have high values of β, and V_BE =0.65 V, the current flowing through the 2kΩ resistance will be?

14. Select the correct alternative from the given choices.

Pointing at a photograph, Saradhy said to Thomas, "the person in the photograph is my wife's only daughter's brother's paternal grandfather's only daughter's husband and your mother's father-in law's only son."

How is Saradhy related to Thomas?

15. Select the correct alternative from the given choices.

The Antenna current, when the percent of modulation changes to 0.8 is?