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A 50 Hz, 11 kV, 3 phase alternator with earthed neutral having a reactance of 3 ohms per phase and is connected to a bus bar through a circuit breaker, if the distributed capacitance upto CB between the phase and neutral is 0.01 μ F.
What is the peak re striking voltage?
  • a)
    18.36 kV
  • b)
    17.96 kV
  • c)
    15.96 kV
  • d)
    12.65 kV
Correct answer is option 'B'. Can you explain this answer?

Pankaj Mehta answered
Microfarad per phase, then determine the short circuit current available at the bus bar if a fault occurs at the CB.

To find the short circuit current, we need to first calculate the total impedance of the system. The reactance of the alternator per phase is given as 3 ohms, and the distributed capacitance per phase up to the CB is 0.01 microfarad.

The reactance of the distributed capacitance can be calculated as:

Xc = 1 / (2πfC) = 1 / (2π x 50 x 0.01 x 10^-6) = 318.3 ohms

The total impedance per phase is then given by:

Z = √(R^2 + Xl^2 + Xc^2) = √(3^2 + 318.3^2 + 3^2) = 318.9 ohms

Since we have a 3 phase system, the total impedance will be 3 times this value, which is 956.7 ohms.

The short circuit current can be calculated using Ohm's law:

I = V / Z

Where V is the voltage of the system, which is 11 kV or 11,000 volts.

I = 11,000 / 956.7 = 11.5 kA

Therefore, the short circuit current available at the bus bar is 11.5 kA.

Determine the peak inverse voltage that appear across the diode in the given circuit.
  • a)
    0 V
  • b)
    10 V
  • c)
    20 V
  • d)
    14.14 V
Correct answer is option 'C'. Can you explain this answer?

Ravi Singh answered
 
During positive half cycle capacitor get charge and during negative half cycle the equivalent circuit is shown as
    so,    VD    =    VmSinωt
    so,     P1V    =    2Vm
    here,     Vm    =    10 volt,
    so,    P1V    =    20 volt

A 230 V, 50Hz , one pulse SCR controlled converter is triggered at a firing angle of 400 and the load current extinguishes at an angle of 2100 . For a load of R=5Ω and L=2mH. The circuit-turn off time and average output voltage is
  • a)
    8.33μsec,84.84 V
  • b)
    8.44m sec,83.38 V
  • c)
    8.33 m sec 84.48 V
  • d)
    8.33 sec, 84.48 V
Correct answer is option 'C'. Can you explain this answer?

Pallavi Nair answered
Given parameters:
- Voltage (V) = 230 V
- Frequency (f) = 50 Hz
- Firing angle (α) = 40°
- Extinction angle (β) = 210°
- Load resistance (R) = 5 Ω
- Load inductance (L) = 2 mH

To find:
- Circuit-turn off time
- Average output voltage

Solution:
1. Calculation of circuit-turn off time:
- Circuit-turn off time (tq) can be calculated using the following formula:
tq = (π - β + α) / (2πf)
- Substituting the given values in the formula, we get:
tq = (π - 210° + 40°) / (2π x 50 Hz)
tq = 8.33 ms
- Therefore, the circuit-turn off time is 8.33 ms.

2. Calculation of average output voltage:
- Average output voltage (Vo) can be calculated using the following formula:
Vo = (2V / π) x (cos α - cos β) - (2IR)
- Substituting the given values in the formula, we get:
Vo = (2 x 230 V / π) x (cos 40° - cos 210°) - (2 x 5 Ω x I)
Vo = 84.48 V - 10 I
- To find the value of I, we need to use the fact that the load current extinguishes at an angle of β = 210°. At this point, the load current is given by:
iL = Im sin (ωt + φ)
where Im = V / √(R^2 + ω^2L^2) = 45.67 A (rms value)
ω = 2πf = 314.16 rad/s
φ = tan^-1 (ωL / R) = 0.79°
- At β = 210°, we have:
iL = Im sin (ωβ + φ) = -36.64 A (rms value, negative sign indicates that the current is flowing in the opposite direction)
- Therefore, the value of I can be calculated as:
I = iL / √2 = -25.92 A (peak value, negative sign indicates that the current is flowing in the opposite direction)
- Substituting the value of I in the equation for Vo, we get:
Vo = 84.48 V - 10 x (-25.92 A)
Vo = 83.38 V
- Therefore, the average output voltage is 83.38 V.

Answer:
The circuit-turn off time is 8.33 ms and the average output voltage is 84.48 V. Therefore, the correct answer is option (c) 8.33 ms, 84.48 V.

The standard deviations of linear dimensions P and Q are 3?m and 4?m, respectively. When assembled, the standard deviation (in?m) of the resulting linear dimension (P + Q) is _________. (Answer up to the nearest integer)
    Correct answer is '5'. Can you explain this answer?

    Pooja Patel answered
    Given
    Standard deviation of P = 3?m Variance of P = 9?m
    Standard deviation of Q = 4?m Variance of Q = 16?m
    Variance of P + Q = Var(P + Q) = Variance P + Variance Q = 9 + 16 = 25
    Standard deviation of

    A coin tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occurs in three tosses.
    Based on the above information, which one of the following statements is NOT TRUE?
    • a)
      X and Y are not independent
    • b)
      Y and Z are dependent
    • c)
      Y and Z are independent
    • d)
      X and Z are independent
    Correct answer is option 'C'. Can you explain this answer?

    Jyoti Basak answered
    Explanation:

    Events:
    - X: Head occurs in each of the first two tosses.
    - Y: Tail occurs on the third toss.
    - Z: Two tails occur in three tosses.

    Independence of Events:
    Two events X and Y are independent if and only if the occurrence or non-occurrence of one event does not affect the occurrence or non-occurrence of the other event.

    Analysis of the Statements:

    a) X and Y are not independent:
    - If X and Y are independent, it means that the occurrence of heads in the first two tosses does not affect the occurrence of a tail on the third toss.
    - However, if both of the first two tosses result in heads (event X), then it is not possible for a tail to occur on the third toss (event Y).
    - Therefore, X and Y are not independent.

    b) Y and Z are dependent:
    - If Y and Z are dependent, it means that the occurrence of a tail on the third toss affects the occurrence of two tails in three tosses.
    - However, the occurrence of a tail on the third toss does not affect the occurrence of two tails in three tosses. Whether or not the first two tosses result in tails (event Z) is independent of the outcome of the third toss (event Y).
    - Therefore, Y and Z are independent.

    c) Y and Z are independent:
    - This statement is not true. As explained above, Y and Z are actually independent events.

    d) X and Z are independent:
    - If X and Z are independent, it means that the occurrence of heads in the first two tosses does not affect the occurrence of two tails in three tosses.
    - However, if both of the first two tosses result in heads (event X), it is not possible for two tails to occur in three tosses (event Z).
    - Therefore, X and Z are not independent.

    Conclusion:
    The statement "Y and Z are independent" (option c) is not true. The correct answer is option c.

    A (0-300)V Voltmeter has a guaranteed accuracy of 2% of full scale reading if the voltage measured by this instrument is 180V then the limiting error will be
    • a)
      Less than 2%
    • b)
      Less than 3% but greater than 2%
    • c)
      Less than 4% but greater than 3%
    • d)
      4%
    Correct answer is option 'C'. Can you explain this answer?

    Yashvi Shah answered
                                   Error    = 2% of F.S.D.
                                              = 2% of 300 V
                                              = 2/100 x 300 = 6 V
                Measured Value    =     180 V
                                   Error   =     6 V
                    Absolute error   =    Measured value – True value
                                         6   =    180 - True value
                           Tue Value   =    174 Volt
                Limiting error or % error
                       = 6/174 x 100 =   3.44%

    The current coil of a dynamometer wattmeter is connected to a 24V dc source in series with resistor. The potential circuit is connected through an ideal half wave rectifier in series with 50Hz source of 100V. The inductance of pressure circuit and current coil resistance are negligible. The reading of wattmeter in watts is ______________. (Correct upto nearest integer)
      Correct answer is '180'. Can you explain this answer?

      Naroj Boda answered
      The pressure coil is energized by an ideal half wave rectifier therefore, the pressure coil carrier current during one half cycle and in the other half cycle there is no current in it. This means that there is a deflecting torque on the meter during one half cycle.
      Reading of the wattmeter = Average power over a cycle

      If prices reduce by 20% and sales increase by 15%, what is the net effect on gross receipts?
      • a)
        They increase by 8%.
      • b)
        They decrease by 8%.
      • c)
        They remain the same.
      • d)
        They increase by 1.
      Correct answer is option 'B'. Can you explain this answer?

      Ravi Singh answered
      Let original price = p, and original sales = s. Therefore, original gross receipts = ps.
      Let new price = 0.80p, and new sales = 1.15s. Therefore, new gross receipts = 0.92ps.
      Gross receipts are only 92% of what they were. Hence, gross receipts decrease by 8%.

      A voltage commutation circuit is shown in figure. The turn-off time of the both SCR is 60 sec and current through R1 and R2 is 20 A and voltage is 120 V. What will be the minimum value of capacitor (in μF) required for proper commutation? (Answer up to one decimal place)
      Correct answer is '14.4'. Can you explain this answer?

      Bhavana Reddy answered
      Given information:
      - Turn-off time of both SCR is 60 sec.
      - Current through R1 and R2 is 20 A.
      - Voltage across R1 and R2 is 120 V.

      To determine:
      The minimum value of the capacitor required for proper commutation.

      Approach:
      - The commutation process in a voltage commutation circuit involves turning off one SCR while turning on the other SCR to ensure continuous flow of current.
      - The minimum value of the capacitor required for proper commutation can be determined by considering the worst-case scenario, where the turn-off time of both SCRs is at its maximum value.

      Calculation:
      - The worst-case scenario occurs when both SCRs turn off simultaneously.
      - The voltage across the capacitor during this worst-case scenario is given by the equation: Vc = V - Vr2 - Vr1, where V is the supply voltage, Vr2 is the voltage across resistor R2, and Vr1 is the voltage across resistor R1.
      - V = 120 V (given)
      - Vr1 = I * R1 = 20 A * 10 Ω = 200 V
      - Vr2 = I * R2 = 20 A * 5 Ω = 100 V
      - Vc = V - Vr2 - Vr1 = 120 V - 100 V - 200 V = -180 V (negative because the polarities are reversed during commutation)
      - The voltage across the capacitor cannot be negative, so we need to choose a minimum value of the capacitor such that Vc is positive.
      - Let C be the capacitance in Farads.
      - The charge stored in the capacitor during commutation is given by the equation: Q = C * Vc.
      - For proper commutation, the charge stored in the capacitor should be sufficient to maintain the voltage across the load during the turn-off time of the SCR.
      - Let Toff be the turn-off time of the SCR = 60 sec.
      - The charge required to maintain the voltage across the load is given by the equation: Qload = I * Toff.
      - Equating the charge stored in the capacitor to the charge required to maintain the voltage across the load, we have: C * Vc = Qload.
      - Substituting the values, we get: C * (-180 V) = 20 A * 60 sec.
      - Solving for C, we get: C = 14.4 μF.

      Therefore, the minimum value of the capacitor required for proper commutation is 14.4 μF.

      For how many of the given years in the below period total production of the company was more than the average production of the company during 2005-2010?
      • a)
        4
      • b)
        2
      • c)
        3
      • d)
        1
      Correct answer is option 'C'. Can you explain this answer?

      Ravi Singh answered
      Average production during the period 2005-2010
      Hence, year which have production more than average production are 2005, 2006 and 2008.
      Hence, the correct option is (C).

      The given statement is followed by some courses of action. Assuming the statements to be true, decide the correct option.
      A world conference on Child Labour was organized in Tokyo. This widely attended conference endorsed the framework on actions for Eradicating Child Labour.
      Courses of action :
      I) India should suitably implement the action points of this conference
      II) India should also immediately organize such types of conferences.
      • a)
        Only I follows
      • b)
        Only II follow
      • c)
        Both I and II follow
      • d)
        Neither follows
      Correct answer is option 'A'. Can you explain this answer?

      Yash Patel answered
      The first course of action is definitely required. It is not sufficient to simply attend these conferences but also appropriately implement the consensus reached and action points agreed upon there.
      Course of action (II) however does not follow because there is no urgency to organize such conferences without suitably implementing the existing frameworks. So, only (I) follows.

      How many standard resistor are required to design a 3 bit flash type ADC? 
      • a)
        7
      • b)
        8
      • c)
        6
      • d)
        3
      Correct answer is option 'C'. Can you explain this answer?

      Mansi Datta answered
      Number of resistor,                                 = 2n
                                                                   = 23
                                                                   = 8

      The self-inductance of the primary winding of a single phase 50 Hz transformer is 800 mH and that of the secondary winding is 600 mH. The mutual inductance between these two windings is 480 mH. The secondary winding of this transformer is short circuited and the primary winding is connected to a 50 Hz, single phase, sinusoidal voltage source. The current flowing in both the windings is less than their respective rated currents. The resistances of both windings can be neglected. In this connection, what is the effective inductance (in mH) seen by the source?
      • a)
        416
      • b)
        440
      • c)
        200
      • d)
        920
      Correct answer is option 'A'. Can you explain this answer?

      Pooja Patel answered
      Consider the transformer circuit shown below.
      For the circuit, we have
      Zin = input impedance as seen by source
      or
      By neglecting resistances R1 and R2, we get

      A 50 Hz 3 phase synchronous generator has inductance per phase of 15mH. The capacitance of generator and the circuit breaker is 0.002μ F. What is the natural frequency of oscillation?
      • a)
         29 kHz
      • b)
        2.9 kHz
      • c)
         290 kHz
      • d)
        29 MHz
      Correct answer is option 'D'. Can you explain this answer?

      Maulik Chatterjee answered
      F. Find the value of the excitation capacitance required to improve the power factor to 0.9 lagging.

      First, we need to calculate the current lag angle (δ) of the generator at the current power factor (0.9 lagging).

      cos(δ) = 0.9
      δ = cos^-1(0.9)
      δ = 25.84°

      Next, we can calculate the reactive power (Q) of the generator at the current power factor:

      Q = S * sin(δ)
      where S is the apparent power of the generator.

      Assuming the generator is rated for 100 kVA, the apparent power is:

      S = 100,000 VA

      Q = 100,000 * sin(25.84°)
      Q = 43,212 VA

      The reactive power of the generator is inductive, so we need to add a capacitive reactance to balance it out and improve the power factor. The capacitive reactance required is:

      Xc = -Q / (3 * ω * V^2)
      where ω is the angular frequency (2πf), V is the line-to-line voltage of the generator, and the negative sign indicates a capacitive reactance.

      ω = 2π * 50 Hz
      ω = 314.16 rad/s

      Assuming the line-to-line voltage of the generator is 480 V, the capacitive reactance required is:

      Xc = -43,212 / (3 * 314.16 * 480^2)
      Xc = -0.024 Ω

      Finally, we can calculate the capacitance required to achieve this reactance:

      Xc = 1 / (2πfC)
      C = 1 / (2πfXc)
      C = 1 / (2π * 50 * 0.024)
      C = 1,325 μF

      Therefore, a capacitance of 1,325 μF is required to improve the power factor of the generator to 0.9 lagging.

      From his 9 friends (4 boys and 5 girls), Mohan wanted to invite friends for picnic. If there have to be exactly 3 girls in invites, then the number of ways in which he can invite them are,
      • a)
        320
      • b)
        80
      • c)
        160
      • d)
        200
      Correct answer is option 'C'. Can you explain this answer?

      Mansi Choudhury answered
      Three girls can be selected from 5 girls in 5C3 ways. As number of boys to be invited is not given, hence out of 4 boys he can invite them in 24 ways, so total of
               24 X 5C3 ways = 16 X   =160 ways

      Directions: In the question below are given three statements followed by two conclusion numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts.
      Statements :
      All lizards are birds
      Some ants are birds
      All ants are cobras
      Conclusions :
      I.All lizards being cobras is a possibility
      II.Some cobras are birds.
      • a)
        Only conclusion I follow
      • b)
        Only conclusion II follows
      • c)
        Only conclusion I or II follows
      • d)
        Both conclusions I and II follows
      Correct answer is option 'D'. Can you explain this answer?

      Zoya Sharma answered
      Consider the least possible Venn diagram
      Conclusions :
      I : All lizards being cobras is a possibility → Possibility is true as shown below.
      II : Some cobras are birds Clearly true, as shown above.
      Hence, both the conclusions follow.

      Consider the connection of two 2✖4 decoder as shown in below figure,
      The output of the circuit F will be.
      • a)
        1
      • b)
        C
      • c)
      • d)
        0
      Correct answer is option 'C'. Can you explain this answer?

      Ravi Singh answered
      Given
      From 2 to 4 decoder-1, truth table is given by,
      From the above truth table,
      Now, from the circuit,
      From 2 to 4 decoder-1, truth table is given by,
      From the above truth table,

      For the circuit shown in the figure, the current I is 3 A.
      The power delivered by the dependent current source D (in watts) is _________. (in integer)
        Correct answer is '1500'. Can you explain this answer?

        Pioneer Academy answered
        Given: I = 3A
        Current from the dependent current source is: 5I = 5 x 3 = 15A
        Applying KCL at node 1:
        Voltage drop across10Ω resistance = 100V
        ஃ Voltage across current source =100V
        [In parallel voltages are equal]
        Power delivered by dependent source= VxI = 100x15 = 1500Watt

        Which one of the statement is logically valid and can be inferred from the sentence given below?
        Snow White always looks into the gold mirror to comb her hair. The mirror sometimes cracks. When the mirror cracks, the glass hits the person looking into it.
        • a)
          Snow White is always hit by glass when she combs her hair.
        • b)
          Snow White sometimes does not get hit by glass when she combs her hair.
        • c)
          Snow White is never hit by glass when she is sleeping.
        • d)
          When Snow White does not comb her hair, the mirror does not crack.
        Correct answer is option 'C'. Can you explain this answer?

        Zoya Sharma answered
        Option A : The passage says that the mirror cracks sometimes. We do not know if these times always coincide with the times that Snow White combs her hair. So, we cannot say that Snow White is always hit by glass when she combs her hair.
        Option B : We do not know when exactly the mirror cracks; it is only mentioned that it cracks sometimes It could be possible that the mirror cracks every time Snow White combs her hair. So, we cannot say that she does not get hit by glass when she combs her hair.
        Option C : The glass hits the person looking into it when it cracks. And Snow White can look into the mirror only when she is awake. So, Snow White cannot get hit by glass when she is sleeping.
        Option D : Similar to the reasoning Option B, we do not know if the instances when the mirror cracks coincide with when Snow White combs her hair. So, we cannot say that when Snow White does not comb her hair the mirror does not crack.
        Hence, the correct option is (C)

        Read the following paragraph and choose the correct statement.
        Laura Strong is one of atleast 3.8 million Americans in 2014 who've qualified for federal programs that tie payments to income and eventually forgive debt for some struggling borrowers, leaving taxpayers to pick up the tab President Obama has praised the programs for offering a lifeline to borrowers who'd otherwise default scarring their credit. Strong pays about $100 a month on her federal loans.
        Income-based repayment was introduced under President Clinton, but the programs weren't heavily promoted until late 2013, when the Obama administration began sending e-mails to borrowers, including
        Strong, telling them, ‘Your initial payment could be as low as $0 a month.’ The number of people using these plans has quadrupled since 2012.
        • a)
          About 4 million Americans qualified for the income based repayment programs in 2012
        • b)
          About 2 million Americans qualified for the income based repayment programs in 2012
        • c)
          About a million Americans qualified for the income based repayment programs in 2012
        • d)
          About half a million Americans qualified for the income based repayment programs in 2012
        Correct answer is option 'C'. Can you explain this answer?

        Uday Kumar answered
        Understanding the Data
        In the provided paragraph, the information regarding the number of Americans qualifying for income-based repayment programs is crucial to answering the question accurately.
        Key Points from the Paragraph
        - In 2014, at least 3.8 million Americans qualified for federal programs that tie payments to income.
        - The paragraph notes a significant increase in the utilization of these income-based repayment plans, which have quadrupled since 2012.
        - Given that the number of qualifiers increased to 3.8 million by 2014, we can infer the number in 2012.
        Analyzing the Options
        - Option A: About 4 million Americans qualified for the income-based repayment programs in 2012.
        - This option is incorrect as it overestimates the number of qualifiers since it only reached 3.8 million in 2014.
        - Option B: About 2 million Americans qualified for the income-based repayment programs in 2012.
        - This option is plausible but does not align with the quadrupling growth mentioned leading up to 2014.
        - Option C: About a million Americans qualified for the income-based repayment programs in 2012.
        - This option is the most reasonable as it reflects a baseline figure that could logically quadruple to reach 3.8 million by 2014.
        - Option D: About half a million Americans qualified for the income-based repayment programs in 2012.
        - This option underestimates the situation, given the growth trend indicated.
        Conclusion
        Based on the data and the rate of growth mentioned, option C is the correct answer, indicating that about a million Americans likely qualified for the income-based repayment programs in 2012.

        Consider the circuit shown in below figure,
        Given that: μnCax = 100μA/V2, W/L = 1, VT = 1V
        In the figure above,VG jumps from 0 to 2V at t=0 . The capacitor voltage is zero at t = 0-. The time at which the MOS transistor enters triode region is ______ (inμsec ). (correct upto 2 decimal places).
          Correct answer is '100'. Can you explain this answer?

          Pooja Patel answered
          We know as we will increase VG from 0 to 2V.
          MOSFET will start conducting.
          MOSFET will be in triode for under region when,
          VGS>VT and VDS<>GS-VT
          So, as question is about when will enter in triode region it means device initially will be in saturation. You can also see as t = 0+, VC(0) = 0 so, VD = 6V.
          So, VDS > VGS -VT (Saturation)
          6 > 2 - 1
          ∴ So device is in saturation initially.
          Now, for linear VDS <>GS -VT
          So switching voltage,
          VDS = VGS -VT
          VD = 1V
          Vc = 5V
          We know,

          On the torque/speed curve of an induction motor shown in the figure, four points of operation are marked as W, X, Y and Z. Which of them represents the operation at a slip greater than 1?
          • a)
            w
          • b)
            x
          • c)
            y
          • d)
            z
          Correct answer is option 'A'. Can you explain this answer?

          Pioneer Academy answered
          Given torque/speed curve of the induction motor
          When the speed of the motor is in forward direction then slip varies from 0 to 1 but when speed of motor is in reverse direction or negative then slip is greater then 1.
          So at point W slip is greater than 1.

          The voltage ratio of a single-phase, 50 Hz transformer is 5000/500 V at no-load. The maximum value of the flux in the core is 7.82 mWb. The number of turns in primary and secondary windings respectively, are
          • a)
            1000, 100
          • b)
            128, 13
          • c)
            288, 29
          • d)
            144, 15
          Correct answer is option 'C'. Can you explain this answer?

          Divya Singh answered
          Question:

          The voltage ratio of a single-phase, 50 Hz transformer is 5000/500 V at no-load. The maximum value of the flux in the core is 7.82 mWb. The number of turns in primary and secondary windings respectively, area)1000, 100b)128, 13c)288, 29d)144, 15.

          Which option is correct?

          Answer:

          Given data:

          Voltage ratio = 5000/500 V
          Flux in the core = 7.82 mWb

          Calculations:

          The voltage ratio of a transformer is given by the formula:

          V1/V2 = N1/N2

          Where,

          V1 = Primary voltage
          V2 = Secondary voltage
          N1 = Number of turns in primary coil
          N2 = Number of turns in secondary coil

          Given,

          V1/V2 = 5000/500

          So, N1/N2 = 5000/500

          N1/N2 = 10

          Also, the flux in the core is given by the formula:

          Φ = (4.44 f N Φmax) / 10^6

          Where,

          f = Frequency = 50 Hz
          N = Number of turns in the coil
          Φmax = Maximum flux in the core

          Given,

          f = 50 Hz
          Φmax = 7.82 mWb

          So, we can find N as follows:

          N = (Φ * 10^6) / (4.44 f Φmax)

          N = (7.82 * 10^-3 * 10^6) / (4.44 * 50)

          N = 288.28

          Therefore, the number of turns in primary and secondary windings respectively are 288 and 29.

          Hence, the correct option is C) 288, 29.

          Directions: Select the most appropriate word/phrase among the choices to complete the sentence.
          You can make your quixotic experiments with someone else, I do not wish to be your ________.
          • a)
            model
          • b)
            victim
          • c)
            guinea pig
          • d)
            mannequin
          Correct answer is option 'C'. Can you explain this answer?

          Tarun Chawla answered
          Explanation:
          The sentence implies that the speaker is not willing to participate in someone's experimental activities. The word/phrase that best fits in the blank should indicate that the speaker does not want to be used as a subject for someone's experiments. The options are:

          a) model - This word is not appropriate as it suggests that the speaker is being used as an example to be imitated, and not as an experimental subject.

          b) victim - This word is not appropriate as it suggests that the speaker is being harmed or taken advantage of, which may not be the case in this scenario.

          c) guinea pig - This word is the most appropriate as it indicates that the speaker does not want to be used as a test subject for someone's experiments.

          d) mannequin - This word is not appropriate as it suggests that the speaker is being used as a lifeless object, which is not the case in this scenario.

          Therefore, option 'C' is the correct answer.

          HTML Representation:

          Explanation:
          The sentence implies that the speaker is not willing to participate in someone's experimental activities. The word/phrase that best fits in the blank should indicate that the speaker does not want to be used as a subject for someone's experiments. The options are:



          • a) model - This word is not appropriate as it suggests that the speaker is being used as an example to be imitated, and not as an experimental subject.


          • b) victim - This word is not appropriate as it suggests that the speaker is being harmed or taken advantage of, which may not be the case in this scenario.


          • c) guinea pig - This word is the most appropriate as it indicates that the speaker does not want to be used as a test subject for someone's experiments.


          • d) mannequin - This word is not appropriate as it suggests that the speaker is being used as a lifeless object, which is not the case in this scenario.



          Therefore, option 'C' is the correct answer.


          Category: Electrical Engineering (EE)

          If a 3 V battery supplies 5 A of current, then the amount of energy delivered (in kJ) in one hour will be equal to ______.
          (Answer up to the nearest integer)
          • a)
            Insightful-imbecile
          • b)
            Adulation-exaltation
          • c)
            Veneration-commendation
          • d)
            Affable-easy-going
          Correct answer is '54'. Can you explain this answer?

          Kunal Sharma answered
          Given information:

          A 3 V battery supplies 5 A of current.


          Calculating energy:

          The amount of energy delivered by a battery can be calculated using the formula:

          Energy (E) = Power (P) × Time (t)

          Power can be calculated using the formula:

          Power (P) = Voltage (V) × Current (I)

          Substituting the given values, we have:

          Power (P) = 3 V × 5 A = 15 W


          Calculating energy in one hour:

          We are required to find the amount of energy delivered in one hour. Since power is given in watts and time is given in seconds, we need to convert the time to hours.

          There are 3600 seconds in one hour, so:

          Time (t) = 1 hour = 3600 seconds


          Substituting the values into the formula:

          Energy (E) = Power (P) × Time (t) = 15 W × 3600 s = 54,000 J


          Converting energy to kJ:

          Since the answer is required in kilojoules (kJ), we need to convert the energy from joules to kilojoules.

          1 kJ = 1000 J

          Therefore:

          Energy (E) in kJ = 54,000 J ÷ 1000 = 54 kJ


          Final answer:

          The amount of energy delivered by the 3 V battery in one hour is approximately 54 kJ.

          Three networks are cascaded as shown below,
          The T-parameters of cascade network is
          • a)
          • b)
          • c)
          • d)
          Correct answer is option 'C'. Can you explain this answer?

          Cstoppers Instructors answered
          We break the network into 4 parts
          Converting Z parameter into T parameter
          Network - 4: T4
          [For cascade connection abcd-parameters are multiplied]

          A root of the equation x3 - 3x - 5 = 0 lies between 2 and 2.5. Its value after the first iteration as obtained by using Newton-Raphson method is _____. (Answer up to two decimal places)
            Correct answer is '2.33'. Can you explain this answer?

            Srestha Kumar answered
            Newton-Raphson Method to Find Root of Equation

            • The Newton-Raphson method is a numerical method to find the root of an equation.

            • It is based on the idea of linear approximation of the function at a given point.

            • The method starts with an initial guess of the root and then iteratively improves the guess until a desired level of accuracy is achieved.

            • The formula for Newton-Raphson method is: x1 = x0 - (f(x0)/f'(x0)), where x0 is the initial guess, f(x) is the given function, and f'(x) is its derivative.



            Given Equation and Initial Guess

            • We are given the equation x3 - 3x - 5 = 0.

            • We also know that the root lies between 2 and 2.5.

            • Therefore, we can start with an initial guess of x0 = 2.



            First Iteration

            • To find the root using Newton-Raphson method, we need to calculate the value of x1 using the formula x1 = x0 - (f(x0)/f'(x0)).

            • First, we need to calculate the derivative of the given function: f'(x) = 3x2 - 3.

            • Then, we can substitute x0 = 2 and f(x0) = 3 into the formula to get x1 = 2 - (3/9) = 2 - 1/3 = 1.67.



            Second Iteration

            • We can continue the process by using x1 as the new initial guess.

            • Substituting x0 = 1.67 and f(x0) = -0.635 into the formula, we get x1 = 1.67 - (-0.635)/(3*1.672 - 3) = 2.329.



            Final Answer

            • The value of x after the first iteration as obtained by using Newton-Raphson method is 2.33 (rounded to two decimal places).

            • This value is closer to the actual root of the given equation, which is approximately 2.094.

            • Further iterations can be done to improve the accuracy of the result.

            Chapter doubts & questions for Practice and Mock Tests - 6 Months Preparation for GATE Electrical 2026 is part of Electrical Engineering (EE) exam preparation. The chapters have been prepared according to the Electrical Engineering (EE) exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

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