Full Syllabus Test 1 for ESE & GATE EC Exams

Question 1

If ‘r’ is the radius of circular orbit then the orbital period of a satellite is directly proportional to

Question 2

What will be the output voltage for the given circuit if V_I = 20V, R₁ = 5kΩ, R₂ = 10 kΩ and V_z = 10V.

Question 3

The probability density function of a random variable x is given by,

f_x(x) =

The value of “k” will be

Question 4

If ω_c is a carrier frequency and ω_m is modulating frequency, then the most suitable modulated signal is

S(t) = (2.5 + 5cos ω_mt) cos ω_ct

Question 5

Consider the common drain circuit shown below.

Output impedance of the circuit is

Question 6

In the circuit shown below the input offset voltage and input offset current are V_io = 2mV and I_io = 75 na. The total output offset voltage is

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Question 7

For the derivative feedback control system shown in figure below, the damping ratio is equal to 0.7.

The value of derivative gain constant T_d is:

Question 8

For the logic circuit shown, give the output y

Question 9

Consider a unity feedback open loop. Transfer function is

oscillation frequency for the closed loop transfer function is

Question 10

The programmable interval timer (8253) consists of

Question 11

The voltage standing wave ratio for a lossless transmission line is given by

. The corresponding magnitude of the reflection coefficient is

Question 12

The normalised frequency for optical fibre with a triangular profile is equal to 30, then the number of modes possible in the optical fibre is equal to

Question 13

If the transform of

is

, then transform of

will be:-

Question 14

The total current I = I₁ + I₂ in a circuit is measured as I₁ = (150 ± 1) A, I₂ = (150 ± 2) A, where the limits of error are given as standard deviation, I is measured as.

Question 15

What is the Laplace Transform of t²e^–2t u(t) ?

Question 16

A metal strain gauge factor of 2. Its nominal resistance is 120 Ω. If it undergoes a strain of 10.⁵, the value of change of resistance in response to the strain is

Question 17

For a system having closed loop transfer function,

. Determine the settling time with 5% tolerance.

Question 18

In the given RL series circuit, where R = 100 Ω & L = 5 H, the switch is closed at t = 0. If an input voltage of 80 V is applied to the given circuit, then what will be the expression of current flowing in the circuit.

Question 19

The voltage V_DS in the circuit shown below is

Question 20

Identify the combinational logic circuit(s) from the following list:

I. Full adder

II. J-K flip-flop

III. Counter

Question 21

For an npn BJT

I_En = 200 μA

I_Ep = 10 μA

I_Cn = 198 μA

I_Cp = 1 μA

What is value of β_dc

Question 22

At temperature T = 300 k, an n-type silicon sample contains donor concentration, N_D = 10¹⁴ cm–3 and intrinsic carrier concentration n_i = 1.5 × 10¹⁰/cm³. Assume minority carrier lifetime of holes is,

Then lifetime of majority carrier electrons is.

Question 23

A sample of Germanium is made of p-type by addition of Indium at the rate of two Indium atoms for every 2.5 × 10⁸ Germanium atoms. Given number of Germanium atoms per