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UGC NET Electronic Science June 2020 Question Paper with Answer Key & Detailed Solutions


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UGC NET Electronic Science June 2020 Question Paper with Answer Key and Full Explanations

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Explanations

1. Answer: Option (2)

For Varactor Diode, m = ln(C2/C1) / ln{(1+V2/phi) / (1+V1/phi)}

2. Answer: Option (4)

3. Answer: Option (2)

4. Answer: Option (2)

5. Answer: Option (4)

6. Answer: Option (4) 

L= (5*10^-3) / P

Or, P = (5*10^-3) / (5*10^7) = 10^-10

7. Answer: Option (4)

8. Answer: Option (3)

9. Answer: Option (3)

10. Answer: Option (1)

11. Answer: Option (2)

12. Answer: Option (2)

13. Answer: Option (1)

Slew Rate

Slew rate tells us how fast the output voltage of an amplifier/op-amp can change.

It is defined as:

SR=max⁡∣dVodt∣\boxed{SR=\max\left|\frac{dV_o}{dt}\right|}

Unit:

V/μs\boxed{\text{V/}\mu s}

For example, if an op-amp has

SR=1 V/μsSR=1\ V/\mu s

it can change its output by at most 1 volt every microsecond.

For given, SR >=2*π*f*Signal Amplitude

For, 10V peak, SR>=6.28*f*10/(10^-6) V/microsecond

Or, 0.5>= 6.28*f*10/(10^-6) V/microsecond

Or, f = 8000 or 8 KHz

Similarly, for 1 V peak, answer is 80 KHz

14. Answer: Option (3)

15. Answer: Option (2)

16. Answer: Option (3)

For an ideal ADC

V0 = Vref * (Digital Input/2^n)

where, 2^n = number of levels

and Digial Input is (2^n - 1) as all digital inputs are 1

So, Vfs = Vref*{(2^n - 1)/2^n)

Or, Vfs = Vref*(1 - 1/2^n)

17. Answer: Option (2)

18. Answer: Option (1)


Data bits:

11011101

For a 7-bit Hamming code, parity bits are at positions:

1,  2,  41,\;2,\;4

Data bits go to positions:

3,  5,  6,  73,\;5,\;6,\;7

Place 11011101:

Position1234567
BitP1P_1P2P_21P4P_4101

Using even parity:

P1P_1: positions 1,3,5,7

P1+1+1+1=evenP_1+1+1+1=\text{even}

There are three 1s, so:

P1=1P_1=1

P2P_2: positions 2,3,6,7

P2+1+0+1=evenP_2+1+0+1=\text{even}

Already two 1s:

P2=0P_2=0

P4P_4: positions 4,5,6,7

P4+1+0+1=evenP_4+1+0+1=\text{even}

So:

P4=0P_4=0

Therefore:

1010101\boxed{1010101}

Answer: C. 1010101

19. Answer: Option (2)

20. Answer: Option (4)

21. Answer: Option (1)

    A <== 85H

    CPL A ==> 01111010

    ADD A, # ==>

    01111010

    +

    10000101

    = FFH

    22. Answer: Option (3)

    23. Answer: Option (1)

    24. Answer: Option (2)

    25. Answer: Option (2)

    26. Answer: Option (4)

      For TE10 mode:

      Cut-off frequency, fc = c/2a = 3 * 10^8 / 2 * 7 * 10^(-2)

      Phase velocity = c / √{1 - (fc/f)^2}
      = 4*78 * 10^8 m/s (approx.)

      27. Answer: Option (4)

      28. Answer: Option (3)


      Q = ∫V ρv dV

      Using the spherical volume element:

      dV = r2 sinθ dr dθ dφ

      Therefore,

      Q = ρ0 r1 ∫0r1 r3 dr ∫0π sinθ dθ ∫02π dφ

      Evaluating the integrals:

      Q = ρ0 r1 × r14 / 4 × 2 × 2π
      Q = πρ0r13

      Substituting the given values:

      Q = π(200)(0.3)3
      Q ≈ 16.96 pC

      28. Answer: Option (2)

      For, Single Sideband (SSB)

      Pt = Pc(1+m^2/4)

      where, m = modulation index

      Vestigial Sideband (VSB) keeps:

      • one complete sideband

      • a small portion of the other sideband

      Given, Pc{(m^2)/4 + (m^2)/4*(0.25)} = 0.625
      Or, Pc{5*(m^2)/16} = 0.625
      Or, Pc = 5.56 kW

      30. Answer: Option (4)

      Dispersion is the phenomenon in which light is separated into its component frequencies or wavelengths.

      31. Answer: Option (3)

      Given, a FDM system, 10 channels are multiplexed having bandwidth of 50KHz each.

      Guard band between the channels are 1KHz.

      Minimum bandwidth required for transmission is:

      (50*10) + 1*(10-9) = 509KHz

      32. Answer: Option (3)

       The fundamental purpose of dividing a geographical area into cells in cellular communication is to enable frequency reuse.

      33. Answer: Option (1)

       Ic = Vcc - Vce / Rc 

      = (200-1)/11

      =18.09A

      forced β = 8/5 = 1.6

      β.Ib = Ic
      Ib = Ic / β = 18.09/1.6 = 11.31A

      Power loss in the transistor

      Vce*Ic + Vbe*Ib

      = 1 * 18.09 + 1.5*11.31

      = 18.09 + 16.97

      = 35.06W

      34. Answer: Option (1)

      Phase Voltage = 415/√3

      Torque developed by motor

      = 3 * (Phase Voltage)^2 / (R / s)

      = 3* (415/√3)^2 / (1/0.04)

      = 6889

      35. Answer: Option (2)

      36. Answer: Option (1)

      37. Answer: Option (2)

      RC = 100 kilo-ohm *0.1 micro-farad = 0.01

      V0 = Vref * t/RC

      Or, t = 50 m Second

      38. Answer: Option (4)

      39. Answer: Option (4)

      40. Answer: Option (4)

      41. Answer: Option (2)

      42. Answer: Option (3)

      43. Answer: Option (2)

      44. Answer: Option (4)

      45. Answer: Option (4)

      46. Answer: Option (3)

      Step 1: Determine the Middle Node Voltage

      Let the voltage at the middle node be \(V_x\).

      Applying KCL at the middle node:

      $$ \frac{V_x-V_1}{2} + \frac{V_x-V_2}{2} = 2V_2 $$

      Multiplying both sides by 2:

      $$ 2V_x-V_1-V_2=4V_2 $$

      Thus:

      $$ \boxed{ V_x=\frac{V_1}{2}+\frac{5V_2}{2} } $$

      Step 2: Determine \(I_1\)

      The current entering port 1 is given by:

      $$ I_1=\frac{V_1-V_x}{2} $$

      Substituting the value of \(V_x\):

      $$ I_1= \frac{ V_1- \left( \frac{V_1}{2}+\frac{5V_2}{2} \right) }{2} $$

      Therefore:

      $$ I_1= \frac{V_1}{4} - \frac{5V_2}{4} $$

      Comparing with the Y-parameter equation:

      $$ I_1=Y_{11}V_1+Y_{12}V_2 $$

      Hence:

      $$ \boxed{Y_{11}=\frac14} \qquad \boxed{Y_{12}=-\frac54} $$

      Step 3: Determine \(I_2\)

      The current entering port 2 is given by:

      $$ I_2=\frac{V_2-V_x}{2} $$

      Substituting the value of \(V_x\):

      $$ I_2= \frac{ V_2- \left( \frac{V_1}{2}+\frac{5V_2}{2} \right) }{2} $$

      Therefore:

      $$ I_2= -\frac{V_1}{4} - \frac{3V_2}{4} $$

      Comparing with:

      $$ I_2=Y_{21}V_1+Y_{22}V_2 $$

      Hence:

      $$ \boxed{Y_{21}=-\frac14} \qquad \boxed{Y_{22}=-\frac34} $$

      Final Y-Matrix

      $$ \boxed{ [Y]= \begin{bmatrix} \frac14 & -\frac54 \\[2mm] -\frac14 & -\frac34 \end{bmatrix} \text{ S} } $$
      Correct option: (C) (a) & (e) only

      \(Y_{21}=-\frac14\) and \(Y_{22}=-\frac34\)

      47. Answer: Option (4)

      48. Answer: Option (1)

      49. Answer: Option (4)

      50. Answer: Option (4)

      📌 Summary Checklist for Success

      Don't just read the answers. Follow these tips to clear JRF:

      • Solve at least 10 years of PYQs (2012-2025).
      • Focus on numericals from Op-Amps, Control Systems, and EMFT.
      • Master the 8086 Instruction set and 8051 SFRs.


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