GATE Electronics online test paper 6
by Esha Upadhyay · Published · Updated
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Question 1 of 17
1. Question
A sinusoidal signal of amplitude A is quantized by a uniform quantizer.Assume that the signal utilizes all the representation levels of quantizer.If the signal to quantization noise ratio is 31.8 dB the number of levels of quantizer is
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Question 2 of 17
2. Question
Ina source free region in vacuum if the electrostatic potential (a) = 2×2+y2+cz2 (where number after x,y and z denote power)
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Question 3 of 17
3. Question
Let the random variable X represent the number of times a fair coin needs to be tossed till two consecutive heads appear for the first time.The expectation of X is
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Question 4 of 17
4. Question
In a MOS capacitor with an oxide layer thickess of 10nm the maximum depletion layer thickness is 100nm.The permittivities of the semiconductor and the oxide layer are Es and Eo respectively.Assume Es/Eo = 3 the ratio of maximum capacitance to the minimum capacitance of this MOS capacitor is
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Question 5 of 17
5. Question
An air filled rectangular waveguide of internal dimensions a cm * b cm (a>b) has a cutoff frequency of 6GHz for the dominant TE10 mode.For the same waveguide if the cutoff frequency of the TM11 mode is 15 GHz the cutoff frequency of the TE01 mode in GHz is
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Question 6 of 17
6. Question
The contour on the xy plane where the partial derivative of x*x + y*y with respect to y is equal to the partial derivative of 6y+4x with respect to x is
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Question 7 of 17
7. Question
Which one of the following processes is preferred to form the gate dielectric (SiO2) of MOSFETs?
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Question 8 of 17
8. Question
If the base width in a bipolar junction transistor is doubled which one of the following statements will be true?
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Question 9 of 17
9. Question
The impulse response of an LTI system can be obtained by
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Question 10 of 17
10. Question
The phase margin in degrees of the system
G(s) = 10/[s(s+10)] is
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Question 11 of 17
11. Question
The transfer function of a first order controller is given as
G(s) = K(s+a)/s+b
where K,a and b are positive real numbers.The condition for this controller to act as a phase lead compensator is
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Question 12 of 17
12. Question
The modulation scheme commonly used for transmission from GSM mobile terminals is
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Question 13 of 17
13. Question
The directivity of an antenna array can be increased by adding more antenna elements as a large number of elements
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Question 14 of 17
14. Question
A fair die with faces {1,2,3,4,5,6} is thrown repeatedly till 3 is observed for the first time.Let X denote the number of times the die is thrown.The expected value of X is
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Question 15 of 17
15. Question
The newton raphson method is used to solve the equation f(x) = x35×2+6x8 = 0.Taking the initial guess as x = 5.The solution obtained at the end of the first iteration is
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Question 16 of 17
16. Question
The characteristic equation of an LTI system is given by F(s) = s5+2s4+3s3+6s24s8 = 0.The number of roots that lie strictly in the left half s plane is
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Question 17 of 17
17. Question
A coaxial capacitor of inner radius 1mm and outer radius 5mm has a capacitance per unit length of 172 pF/m.If the ratio of outer radius to inner radius is doubled the capacitance per unit length (in pF/m) is
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