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6.%20Electronics and Experimental Methods NET-JRF%20June%202011-Dec%202014

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Brijmohan
Banaras Hindu University (BHU), Varanasi
PhD Condensed matter Physics

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fiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES ELECTRONICS AND EXPERIMENTAL METHODS NET/JRF (JUNE-2011) Q1. A signal of frequency 10 kHz is being digitized by an A/D converter. A possible sampling time which can be used is (a) 100 s Ans: (c) 60 s (d) 200 s (a) Solution: TS Q2. (b) 40 s 1 1 100 s . f S 10 10 3 Consider the digital circuit shown below in which the input C is always high (1). A B Z C (high) The truth table for the circuit can be written as A B 0 0 0 1 1 0 1 Z 1 The entries in the Z column (vertically) are (a) 1010 Ans: (b) 0100 (c) 1111 (d) 1011 (d) Solution: Z A.B B 1 Head office fiziks, H.No. 23, G.F, Jia Sarai, Near IIT, Hauz Khas, New Delhi-16 Phone: 011-26865455/+91-9871145498 Website: www.physicsbyfiziks.com Email: fiziks.physics@gmail.com Branch office Anand Institute of Mathematics, 28-B/6, Jia Sarai, Near IIT Hauz Khas, New Delhi-16 1 fiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES Q3. A time varying signal Vin is fed to an op-amp circuit with output signal V0 as shown in the figure below. 10K 1K Vo Vin 1K 10K 10K 1 F The circuit implements a (a) high pass filter with cutoff frequency 16 Hz (b) high pass filter with cutoff frequency 100 Hz (c) low pass filter with cutoff frequency 16 Hz (d) low pass filter with cutoff frequency 100 Hz Ans: (c) Solution: Since circuit has R and C combination, its a Low Pass filter and cutoff frequency 1 16Hz. 2 RC NET/JRF (DEC-2011) Q4. In the operational amplifier circuit below, the voltage at point A is 5V 1V 1V 1K A 1K 1K (a) 1.0 V (b) 0.5 V 5V (c) 0 V Head office fiziks, H.No. 23, G.F, Jia Sarai, Near IIT, Hauz Khas, New Delhi-16 Phone: 011-26865455/+91-9871145498 Website: www.physicsbyfiziks.com Email: fiziks.physics@gmail.com (d) 5.0 V Branch office Anand Institute of Mathematics, 28-B/6, Jia Sarai, Near IIT Hauz Khas, New Delhi-16 2 fiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES Ans: (b) Solution: V A Q5. 1 1 0.5V . 1 1 A counter consists of four flip-flops connected as shown in the figure: A0 A1 A2 A3 J Q J Q J Q J Q K Q K Q K Q K Q CLK If the counter is initialized as A0 A1 A2 A3 = 0110, the state after the next clock pulse is (a) 1000 Ans: (b) 0001 (b) (c) 0011 A 1 1 A 0 0 0 J Q 1 K Q A 2 1 0 J J Q (d) 1100 Q A 3 0 J Q CLK Q6. 1 K Q 0 1 K Q K Q 0 1 The pins 0, 1, 2 and 3 of part A of a microcontroller are connected with resistors to drive an LED at various intensities as shown in the figure. For VCC VCC = 4.2 V and a voltage drop of 1.2 V across the LED, the range (maximum current) and resolution (step size) A3 of the drive current are, respectively, C (a) 4.0 mA and 1.0 mA A2 (b) 15.0 mA and 1.0 mA A1 (c) 7.5 mA and 0.5 mA A0 0.75k 1.5k 3k 6k (d) 4.0 mA and 0.5 mA Ans: (c) Head office fiziks, H.No. 23, G.F, Jia Sarai, Near IIT, Hauz Khas, New Delhi-16 Phone: 011-26865455/+91-9871145498 Website: www.physicsbyfiziks.com Email: fiziks.physics@gmail.com Branch office Anand Institute of Mathematics, 28-B/6, Jia Sarai, Near IIT Hauz Khas, New Delhi-16 3 fiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES For Maximum current Thus I max 0, 0, 0, 0 . 4.2 1.2 4.2 1.2 4.2 1.2 4.2 1.2 7.5mA 0.75k 1.5k 3k 6k For Step size Q7. A3 , A1 , A2 , A0 A3 , A1 , A2 , A0 0, 0, 0, 1 . Thus I 0 4.2 1.2 0.5mA 6k The figure below shows a voltage regulator utilizing a Zener diode of breakdown voltage 5 V and a positive triangular wave input of amplitude 10 V. 500 Vi i(mA) i 1K 12 10 8 6 4 2 0 0 1 2 3 4 5 6 7 8 t (s ) For Vi > 5V, the Zener regulates the output voltage by channeling the excess current through itself. Which of the following waveforms shows the current i passing through the Zener diode? (b) 10 8 6 4 2 0 i(mA) i(mA) (a) 12 0 1 3 2 5 4 6 8 7 t (s ) 10 8 6 4 2 0 i(mA) i(mA) (d) 1 2 3 4 1 2 3 4 5 6 7 8 t (s ) (c) 12 0 12 10 8 6 4 2 0 0 5 6 7 8 12 10 8 6 4 2 0 0 1 2 3 4 5 6 7 8 t (s ) t (s ) Head office fiziks, H.No. 23, G.F, Jia Sarai, Near IIT, Hauz Khas, New Delhi-16 Phone: 011-26865455/+91-9871145498 Website: www.physicsbyfiziks.com Email: fiziks.physics@gmail.com Branch office Anand Institute of Mathematics, 28-B/6, Jia Sarai, Near IIT Hauz Khas, New Delhi-16 4 fiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES Ans: (a) Solution: When zener is OFF zener current is zero when zener is ON zener current will flow. NET/JRF (JUNE-2012) Q8. In the op-amp circuit shown in the figure below, the input voltage is 1V. The value of the 1K output V0 is 1K Vi 1V (a) -0.33 V Ans: 1K V o 1K (c) -1.00 V (d) -0.25 V (b) Solution: V0 Q9. (b) -0.50 V R F Vin 1 1 1 1 V 0.05 where RF K and R1 2 1 1 2 R1 1K . An LED operates at 1.5 V and 5 mA in forward bias. Assuming an 80% external efficiency of the LED, how many photons are emitted per second? (a) 5.0 x 1016 Ans: (c) 0.8 x 1016 (d) 2.5 x 1016 (d) Solution: Pin int Q10. (b) 1.5 x 1016 P i 5 10 3 i 2.5 10 16 hf , number of photon in int .8 19 hf e 1.6 10 e The transistor in the given circuit has hfe = 35 and hie = 1000 . If the load resistance RL = 1000 , the voltage and current gain are, respectively. VO (a) -35 and + 35 RL (b) 35 and - 35 VI (c) 35 and 0.97 (d) 0.98 and - 35 Head office fiziks, H.No. 23, G.F, Jia Sarai, Near IIT, Hauz Khas, New Delhi-16 Phone: 011-26865455/+91-9871145498 Website: www.physicsbyfiziks.com Email: fiziks.physics@gmail.com Branch office Anand Institute of Mathematics, 28-B/6, Jia Sarai, Near IIT Hauz Khas, New Delhi-16 5 fiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES Ans: (a) Q11. The output, O, of the given circuit in cases I and II, where Case I: A, B = 1; C, D = 0; E, F = 1 and G = 0 Case II: A, B = 0; C, D = 0: E, F = 0 and G = 1 are respectively (a) 1, 0 C (b) 0, 1 D (c) 0, 0 (d) 1, 1 Ans: O (d) E Solution: O AB CD E F G F G NET/JRF (DEC-2012) Q12. A live music broadcast consists of a radio-wave of frequency 7 MHz, amplitudemodulated by a microphone output consisting of signals with a maximum frequency of 10 kHz. The spectrum of modulated output will be zero outside the frequency band (a) 7.00 MHz to 7.01 MHz (c) 6.99 MHz to 7.00 MHz Ans: (b) 6.99 MHz to 7.01 MHz (d) 6.995 MHz to 7.005 MHz (b) Solution: Spectrum consists of f c f m and f c f m . Q13. In the op-amp circuit shown in the figure, Vi is a sinusoidal input signal of frequency 10 Hz and V0 is the output signal. The magnitude of the gain and the phase shift, 0.01 F respectively, close to the values (a) 5 2 and / 2 (b) 5 2 and / 2 Vi (c) 10 and zero 1K 10K Vo (d) 10 and Ans: (d) Head office fiziks, H.No. 23, G.F, Jia Sarai, Near IIT, Hauz Khas, New Delhi-16 Phone: 011-26865455/+91-9871145498 Website: www.physicsbyfiziks.com Email: fiziks.physics@gmail.com Branch office Anand Institute of Mathematics, 28-B/6, Jia Sarai, Near IIT Hauz Khas, New Delhi-16 6 fiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES Solution: Q14. v0 X C RF v 0 10 vin R1 R1 R F vin The logic circuit shown in the figure below Implements the Boolean expression A y HIGH B (a) y A B Ans: (b) y A B (c) y A B (d) y A B (a) Solution: Output of each Ex-OR gate is A and B . Thus y A B A B Q15. A diode D as shown in the circuit has an i-v relation that can be approximated by v 2 2v D , for v D 0 iD D for v D 0 0, 1 The value of v D in the circuit is (a) 1 11 V (c) 5 V Ans: (b) 8 V iD (d) 2 V 10V D vD (d) 2 2v D 1 v D 0 v D 2V Solution: 10 v D Q16. Band-pass and band-reject filters can be implemented by combining a low pass and a high pass filter in series and in parallel, respectively. If the cut-off frequencies of the low pass and high pass filters are 0LP and 0HP , respectively, the condition required to implement the band-pass and band-reject filters are, respectively, (a) 0HP 0LP and 0HP 0LP (c) 0HP 0LP and 0HP 0LP Ans: (b) 0HP 0LP and 0HP 0LP (d) 0HP 0LP and 0HP 0LP (c) Head office fiziks, H.No. 23, G.F, Jia Sarai, Near IIT, Hauz Khas, New Delhi-16 Phone: 011-26865455/+91-9871145498 Website: www.physicsbyfiziks.com Email: fiziks.physics@gmail.com Branch office Anand Institute of Mathematics, 28-B/6, Jia Sarai, Near IIT Hauz Khas, New Delhi-16 7 fiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES NET/JRF (JUNE-2013) Q17. A silicon transistor with built-in voltage 0.7 V is used in the circuit shown, with VBB 9.7V , RB 300 k , VCC 12V and RC 2k . Which of the following figures correctly represents the load line and quiescent Q point? RC RB VBB iC 35 32 30 32 (a) Q 0 9.7 iC mA Q 0 Ans: VCE V 35 32 30 6 (b) Q 0 12 iC A 32 (d) 35 32 30 Q 0 VCE V 9.7 VCE V (b) Solution: I B Q18. 12 iC mA VCE V 35 32 30 6 (c) VCC VCC V BE 9.7 0.7 VCC 12 30 A I 6mA and C , sat 3 RB RC 300 10 2 10 3 If the analog input to an 8-bit successive approximation ADC is increased from 1.0 V to 2.0 V, then the conversion time will (a) remain unchanged (c) decrease to half its original value Ans: (b) double (d) increase four times (a) Head office fiziks, H.No. 23, G.F, Jia Sarai, Near IIT, Hauz Khas, New Delhi-16 Phone: 011-26865455/+91-9871145498 Website: www.physicsbyfiziks.com Email: fiziks.physics@gmail.com Branch office Anand Institute of Mathematics, 28-B/6, Jia Sarai, Near IIT Hauz Khas, New Delhi-16 8 fiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES Q19. The input to a lock-in amplifier has the form Vi t Vi sin t i where Vi , , i are the amplitude, frequency and phase of the input signal respectively. This signal is multiplied by a reference signal of the same frequency , amplitude V r and phase r . If the multiplied signal is fed to a low pass filter of cut-off frequency , the final output signal is (a) 1 (b) ViVr cos i r cos t i r 2 1 ViVr cos i r 2 1 (d) ViVr cos i r cos t i r 2 (c) ViVr sin i r Ans: (a) Solution: V Vr sin t r Vi sin t i Vi V r cos i r cos 2 t i r 2 Vi V r cos i r 2 Four digital outputs V , P, T and H monitor the speed v , tyre pressure p , temperature t Output of low pass filter= Q20. and relative humidity h of a car. These outputs switch from 0 to 1 when the values of the parameters exceed 85 km/hr, 2 bar, 40 0 C and 50%, respectively. A logic circuit that is used to switch ON a lamp at the output E is shown below. Which of the following condition will switch the lamp ON? (a) v 85 km / hr , p 2 bar, t 40 0 C , h 50 % V (b) v 85 km / hr , p 2 bar, t 40 C , h 50 % 0 (c) v 85 km / hr, p 2 bar, t 40 0 C , h 50 % (d) v 85 km / hr, p 2 bar, t 40 0 C , h 50 % Ans: P T E (a) H Head office fiziks, H.No. 23, G.F, Jia Sarai, Near IIT, Hauz Khas, New Delhi-16 Phone: 011-26865455/+91-9871145498 Website: www.physicsbyfiziks.com Email: fiziks.physics@gmail.com Branch office Anand Institute of Mathematics, 28-B/6, Jia Sarai, Near IIT Hauz Khas, New Delhi-16 9 fiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES JRF/NET-(DEC-2013) Q21. Consider the op-amp circuit shown in the figure. If the input is a sinusoidal wave Vi 5 sin 1000 t , then 1 F the amplitude of the output V 0 is 5 (a) 2 (c) Ans: Vi (b) 5 5 2 2 1K 1K Vo (d) 5 2 (c) vo X RF X C 1 103 F , XF where RF 1 10 3 , X C 3 vin R1 j 10 10 6 RF X C 1 j vo 103 1 1 5 5 2 3 vo sin t sin t vin 2 2 10 2 2 Q22. If one of the inputs of a J-K flip flop is high and the other is low, then the outputs Q and Q (a) oscillate between low and high in race around condition (b) toggle and the circuit acts like a T flip flop (c) are opposite to the inputs (d) follow the inputs and the circuit acts like an R S flip flop Ans: (d) Q23. A sample of Si has electron and hole mobilities of 0.13 and 0.05 m 2 /V- s respectively at 300 K. It is doped with P and Al with doping densities of 1.5 10 21 / m 3 and 2.5 10 21 / m 3 respectively. The conductivity of the doped Si sample at 300 K is (a) 8 1 m 1 Ans: (b) 32 1 m 1 (c) 20 .8 1 m 1 (d) 83 .2 1 m 1 (a) Solution: Resulting doped crystal is p-type and p p 2.5 1.5 1021 / m3 1 1021 / m3 e n p n p p p ep p p 1.6 10 19 1 1021 0.05 8 1 m 1 Head office fiziks, H.No. 23, G.F, Jia Sarai, Near IIT, Hauz Khas, New Delhi-16 Phone: 011-26865455/+91-9871145498 Website: www.physicsbyfiziks.com Email: fiziks.physics@gmail.com Branch office Anand Institute of Mathematics, 28-B/6, Jia Sarai, Near IIT Hauz Khas, New Delhi-16 10 fiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES Q24. Two identical Zener diodes are placed back to back in series and are connected to a variable DC power supply. The best representation of the I-V characteristics of the circuit is I (a) I (b) V (c) V (d) I I V V Ans: (d) Q25. A 4-variable switching function is given by f 5, 7, 8, 10, 13, 15 d 0, 1, 2 , where d is the do-not-care-condition. The minimized form of f in sum of products (SOP) form is (a) A C B D Ans: (d) (b) AB CD CD AB CD CD AB 1 1 CD 1 AB (c) AD BC (d) B D BD BD 1 AB 1 BD 1 Head office fiziks, H.No. 23, G.F, Jia Sarai, Near IIT, Hauz Khas, New Delhi-16 Phone: 011-26865455/+91-9871145498 Website: www.physicsbyfiziks.com Email: fiziks.physics@gmail.com Branch office Anand Institute of Mathematics, 28-B/6, Jia Sarai, Near IIT Hauz Khas, New Delhi-16 11 fiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES NET/JRF (JUNE-2014) Q26. The inner shield of a triaxial conductor is driven by an (ideal) op-amp follower circuit as shown. The effective capacitance between the signal-carrying conductor and ground is Signal (a) unaffected (b) doubled Ans: (d) made zero (a) Q27. (c) halved An op-amp based voltage follower (a) is useful for converting a low impedance source into a high impedance source. (b) is useful for converting a high impedance source into a low impedance source. (c) has infinitely high closed loop output impedance (d) has infinitely high closed loop gain Ans: (b) Q28. An RC network produces a phase-shift of 30 o . How many such RC networks should be cascaded together and connected to a Common Emitter amplifier so that the final circuit behaves as an oscillator? (a) 6 Ans: (b) 12 (c) 9 (d) 3 (a) Solution: Total phase shift must be 0 or 3600. Common Emitter amplifier has phase change of 1800 so we need 6 RC network for next 1800 phase shift. Head office fiziks, H.No. 23, G.F, Jia Sarai, Near IIT, Hauz Khas, New Delhi-16 Phone: 011-26865455/+91-9871145498 Website: www.physicsbyfiziks.com Email: fiziks.physics@gmail.com Branch office Anand Institute of Mathematics, 28-B/6, Jia Sarai, Near IIT Hauz Khas, New Delhi-16 12 fiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES Q29. For the logic circuit shown in the below A X B C A simplified equivalent circuit is (a) A (b) A B C X C A B (c) B X (d) A B X X C Ans: C (d) A A A B AC A.B B C X B C ABC X A B AC ABC AC ABC ABC AC AB A B C Head office fiziks, H.No. 23, G.F, Jia Sarai, Near IIT, Hauz Khas, New Delhi-16 Phone: 011-26865455/+91-9871145498 Website: www.physicsbyfiziks.com Email: fiziks.physics@gmail.com Branch office Anand Institute of Mathematics, 28-B/6, Jia Sarai, Near IIT Hauz Khas, New Delhi-16 13 fiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES NET/JRF (DEC-2014) Q30. Consider the amplifier circuit comprising of the two op-amps A1 and A2 as shown in the 1M figure. A1 10 K r R V0 A2 If the input ac signal source has an impedance of 50 k , which of the following statements is true? (a) A1 is required in the circuit because the source impedance is much greater than r (b) A1 is required in the circuit because the source impedance is much less than R (c) A1 can be eliminated from the circuit without affecting the overall gain (d) A1 is required in the circuit if the output has to follow the phase of the input signal Ans: (a) Solution: A1 is required in the circuit because the source impedance is much greater than r Q31. The I V characteristics of the diode in the circuit below is given by V 0.7 / 500 for I 0 for V 0.7 V 0.7 where V is measured in volts and I is measured in amperes. 1K I 10V The current I in the circuit is (a) 10.0 mA Ans: (b) 9.3 mA (c) 6.2 mA (d) 6.7 mA (c) Solution: Applying K.V.L. 10 1000 I V 0 10 1000 V 0.7 / 500 V 0 Head office fiziks, H.No. 23, G.F, Jia Sarai, Near IIT, Hauz Khas, New Delhi-16 Phone: 011-26865455/+91-9871145498 Website: www.physicsbyfiziks.com Email: fiziks.physics@gmail.com Branch office Anand Institute of Mathematics, 28-B/6, Jia Sarai, Near IIT Hauz Khas, New Delhi-16 14 fiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES 10 2 V 0.7 V 0 3V 11.4 V 3.8 Volts Thus I V 0.7 / 500 3.8 0.7 / 500 3.1/ 500 6.2 mA Q32. In a measurement of the viscous drag force experienced by spherical particles in a liquid, the force is found to be proportional to V 1 / 3 where V is the measured volume of each particle. If V is measured to be 30 mm 3 , with an uncertainty of 2.7 mm 3 , the resulting relative percentage uncertainty in the measured force is (a) 2.08 Ans: (b) 0.09 (c) 6 (d) 3 (b) F 2 2 Solution: The relative percentage uncertainty in the measure force is F V V 2 F F V V where V is the uncertainty in the measurement of volume. F 1 2 / 3 F V 1/3 V V 3 1 1 1 1 F 2 / 3 V 2.7 2.7 2.7 F 0.09 2/3 1/ 3 3 9.7 3V 3 30 3 900 Q33. Consider a Low Pass (LP) and a High Pass (HP) filter with cut-off frequencies f LP and f HP , respectively, connected in series or in parallel configurations as shown in the Figures A and B below. (A) Input fHP L Output fLP (B) Input Which of the following statements is correct? fHP Output L fLP (a) For f HP f LP , A acts as a Band Pass filter and B acts as a band Reject filter (b) For f HP f LP , A stops the signal from passing through and B passes the signal without filtering (c) For f HP f LP , A acts as a Band Pass filter and B passes the signal without filtering (d) For f HP f LP , A passes the signal without filtering and B acts as a Band Reject filter Ans: (c) Head office fiziks, H.No. 23, G.F, Jia Sarai, Near IIT, Hauz Khas, New Delhi-16 Phone: 011-26865455/+91-9871145498 Website: www.physicsbyfiziks.com Email: fiziks.physics@gmail.com Branch office Anand Institute of Mathematics, 28-B/6, Jia Sarai, Near IIT Hauz Khas, New Delhi-16 15 fiziks Institute for NET/JRF, GATE, IIT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES Q34. The power density of sunlight incident on a solar cell is 100 mW / cm 2 . Its short circuit current density is 30 mA / cm 2 and the open circuit voltage is 0.7 V . If the fill factor of the solar cell decreases from 0.8 to 0.5 then the percentage efficiency will decrease from (a) 42.0 to 26.2 Ans: (b) 24.0 to 16.8 (c) 21.0 to 10.5 (d) 16.8 to 10.5 (d) Solution: The efficiency of a solar cell is determined as the fraction of incident power which is converted to electricity and is defined as Voc I sc FF and Pmax Vo c I sc FF Pin where Voc is the open circuit voltage, I sc is the short circuit current density , FF is the Fill factor, Pin is the input power and is the efficiency of the solar cell. Given Pin 100 mW / cm 2 , I sc 30 mA / cm 2 , Voc 0.7 V Let 1 is the efficiency of solar cell when FF 0.8 1 0.7V 30 10 3 A / cm2 0.8 3 100 10 W / cm 2 16.8 1 0.168 100 Let 2 is the efficiency of solar cell when FF 0.5 2 0.7V 30 10 3 A / cm2 0.5 3 100 10 W / cm 2 10.5 2 0.105 100 Thus efficiency decreases from 1 16.8% to 2 10.5% Head office fiziks, H.No. 23, G.F, Jia Sarai, Near IIT, Hauz Khas, New Delhi-16 Phone: 011-26865455/+91-9871145498 Website: www.physicsbyfiziks.com Email: fiziks.physics@gmail.com Branch office Anand Institute of Mathematics, 28-B/6, Jia Sarai, Near IIT Hauz Khas, New Delhi-16 16

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