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GATE 2022 Rapid Revision Weekly Quiz 1

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Question 1

For the tank circuit shown below, the time period of oscillations is


Question 2

If effect of armature reaction is purely magnetizing, then type of load on synchronous generator may be

Question 3

In a certain material for which μr = 3.5. The magnetic field is given by  . The corresponding magnetic energy density is _______ μJ/m2.

Question 4

If x(t) = then x(ω) at ω = 2 will be _____.

Question 5

Let matrix . If det (M) = 0, then consider the following statements

P: M is symmetric matrix

Q: M is invertible

R: One eigen value is 13

S: Its eigen vectors are orthogonal.

Question 6

For a transfer function . The system is

Question 7

A 1000 kVA transformer has an efficiency of 96% at full load and 3/4th load also, both at upf. The value of (Pc – Pi) will be _______ kW. (where Pi = total iron loss and Pc = full load copper loss)

Question 8

The damping ratio of the second order system which has the unit step response shown in figure is _____ (rounding upto two decimal value)

Question 9

A 3-ϕ induction motor has a starting torque of 75% and maximum torque of 300% of full load torque. The value of slip when motor delivers maximum torque will be ______.

Question 10

A single core cable 5 km long has an insulation resistance of 0.4 mΩ. The core diameter is 20 mm and the diameter of the cable over the insulation is 50 mm. Find resistivity of the insulating material (in GΩ-m).

Question 11

For given code executed in 8085 μp After the PSW value is?

MVI A, 63H

ORA A

ANI 36 H

DAA

Question 12

Find the output voltage of the following circuit assume the ideal op-amp behavior.

______ .

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Feb 7ESE & GATE EE