MES Jr. Grade • Paper-I
Schering bridge is used to measure
A)
dielectric loss
B)
the inductance
C)
low resistance
D)
mutual inductance
Schering bridge is an AC bridge used primarily to measure the capacitance and dielectric loss (loss angle/tan delta) of insulating materials and capacitors. Hence, the correct option is dielectric loss. The other options are incorrect because low resistance is measured by bridges like the Kelvin double bridge, inductance is measured by Maxwell/Wien/Anderson bridges, and mutual inductance is measured by mutual inductance bridges, not Schering bridge.
MES Jr. Grade • Paper-I
If a capacitor is charged by a square wave current source, the voltage across the capacitor is
A)
A square wave
B)
triangular wave
C)
Step function
D)
zero
For a capacitor, the current–voltage relation is i = C(dv/dt). If the charging current is a square wave, then the current is constant over each interval, so dv/dt is constant. Therefore the capacitor voltage changes linearly with time during each interval, producing a triangular wave. Option a is incorrect because a square-wave current does not produce a square-wave voltage across a capacitor; that would require the voltage to change instantaneously, which a capacitor cannot do. Option c is incorrect because a step function would imply an instantaneous jump in capacitor voltage, which is not possible for finite current. Option d is incorrect because a nonzero square-wave current causes the capacitor voltage to change, not remain zero.
MES Jr. Grade • Paper-I
In a semiconductor, the movement of holes is due to
A)
movement of holes in conduction band
B)
movements of electrons in conduction band
C)
movement of electrons in valence band
D)
movement of holes in valence band
In a semiconductor, a hole is not a real particle but the absence of an electron in the valence band. When neighboring valence electrons move to fill this vacancy, the vacancy appears to move in the opposite direction. Thus, the movement of holes is due to the movement of electrons in the valence band.
Why others are incorrect:
- a) Holes do not move in the conduction band; conduction band transport is mainly by free electrons.
- b) Electrons in the conduction band are responsible for electron current, not hole motion.
- d) Holes are associated with the valence band, but they do not literally move as independent particles there; their apparent motion is caused by valence electrons shifting to fill vacancies.
MES Jr. Grade • Paper-I
Inside a conducting sphere, ____________ remains constant.
A)
electric flux
B)
electric intensity
C)
charge
D)
potential
Inside a conducting sphere in electrostatic equilibrium, the electric field is zero everywhere within the conductor, so the potential is constant throughout the conductor. Hence, potential remains constant. Electric intensity is not merely constant; it is zero inside the conductor. Electric flux is not the quantity that remains constant inside the sphere. Charge resides on the outer surface of a conductor and is not a constant field quantity inside the sphere.
MES Jr. Grade • Paper-I
Which of the following devices is used to measure flow of air around an aeroplane?
A)
Venturimeter
B)
Rotameter
C)
Orifice
D)
Anemometer
An anemometer is the instrument used to measure the speed/flow of air, such as the airflow around an aeroplane. It is specifically designed for air velocity measurement. Venturimeter, orifice meter, and rotameter are flow-measuring devices mainly used for liquids or gases in pipes, not for measuring free air flow around an aircraft.
MES Jr. Grade • Paper-I
The minimum number of wattmeters required to measure the real power in an N phase system with unbalanced load is
A)
(N-1)
B)
N
C)
(N+1)
D)
None of these
For a general N-phase, 3-wire system with unbalanced load, the total real power can be measured using the generalized two-wattmeter principle: the minimum number of wattmeters required is (N−1). This is because one phase current can be expressed from the others by Kirchhoff’s current law, so only N−1 independent wattmeter readings are needed to determine total power.
Why others are incorrect:
- b (N): Too many; one wattmeter is not needed independently because the phase currents are not all independent in a closed N-phase system.
- c (N+1): Clearly more than necessary; power measurement does not require extra wattmeters beyond the independent phase quantities.
- d (None of these): Incorrect because the standard result is (N−1).
MES Jr. Grade • Paper-I
With increase in temperature, the conductivity of an extrinsic semiconductor
A)
decrease
B)
increase
C)
remain constant
D)
none of these
For an extrinsic semiconductor, increasing temperature generally increases the number of thermally generated charge carriers. Although at low temperatures the dopant atoms are already ionized and conductivity may be nearly constant over a limited range, with further rise in temperature intrinsic carrier generation becomes significant and the conductivity increases. Hence the correct option is (b) increase. Option (a) decrease is wrong because more carriers are available at higher temperature; option (c) remain constant is only approximately true over a narrow temperature range, not in general; option (d) none of these is incorrect because the conductivity does increase.
MES Jr. Grade • Paper-I
Which of the following instrument can be used for measurement of alternating current only?
A)
Permanent magnet type ammeter
B)
Induction type ammeter
C)
Moving iron voltmeter
D)
Moving iron ammeter
Induction type ammeter works only on alternating current because it depends on alternating magnetic flux and induced eddy currents to produce deflection. With DC, there is no alternating flux, so it cannot operate. The other options are incorrect because a moving iron ammeter can measure both AC and DC, a permanent magnet type ammeter is a PMMC instrument used only for DC, and a moving iron voltmeter can also measure both AC and DC.
MES Jr. Grade • Paper-I
If there are b branches and n nodes, the number of equation is given by
A)
b
B)
b-n
C)
n-1
D)
(b-n+1)
For a connected network/circuit with b branches and n nodes, the number of independent equations (or independent loops) is given by the relation b - n + 1. This is the standard graph-theory/network formula, so option d is correct.
Why others are incorrect:
- a) b: the number of branches is not the number of independent equations.
- b) b-n: this misses the +1 required for a connected network.
- c) n-1: this is the number of independent node equations, not the branch/loop equation count.
MES Jr. Grade • Paper-I
The material used for photo conductive cell is
A)
ZnS
B)
PbS
C)
CdS
D)
none of these
CdS (cadmium sulphide) is a standard photoconductive material used in photo conductive cells because its electrical conductivity increases significantly when exposed to light. ZnS is mainly used as a phosphor/luminescent material, not as the usual photoconductive cell material. PbS (lead sulphide) is used in infrared detectors and photoconductors for specific wavelength ranges, but the commonly cited material for a photo conductive cell is CdS. Therefore, the correct option is c.
MES Jr. Grade • Paper-I
According to Gauss’s theorem, the surface integral of the normal component of electric flux density D over a close surface containing charge Q is
A)
Q
B)
Q/ e o
C)
eQ
D)
Q2/ e o o
By Gauss’s law, the total electric flux density through any closed surface is equal to the enclosed charge: \(\displaystyle \oint \mathbf{D}\cdot d\mathbf{S} = Q_{\text{enclosed}}\). Hence the surface integral of the normal component of \(\mathbf{D}\) over a closed surface containing charge \(Q\) is simply \(Q\). Therefore option (a) is correct.
Why the others are incorrect:
- (b) \(Q/\varepsilon_0\): This is not the flux of \(\mathbf{D}\); it resembles the relation for electric field flux \(\oint \mathbf{E}\cdot d\mathbf{S} = Q/\varepsilon_0\).
- (c) \(\varepsilon Q\): Incorrect dimensionally and not Gauss’s law for \(\mathbf{D}\).
- (d) \(Q^2/\varepsilon_0\) (as written): Also dimensionally incorrect and not the Gauss-law result.
MES Jr. Grade • Paper-I
For a two-port bilateral network, the three transmission parameters are given by A=6/5; B=17/5 and C=1/5, what is the value of D?
A)
1
B)
1/5
C)
7/5
D)
5/7
For a bilateral two-port network, the transmission (ABCD) parameters satisfy the reciprocity condition AD - BC = 1. Given A = 6/5, B = 17/5, and C = 1/5, we compute:
AD = 1 + BC = 1 + (17/5)(1/5) = 1 + 17/25 = 42/25
So,
D = (42/25) / (6/5) = (42/25) × (5/6) = 7/5.
Hence the correct option is c.
Why the others are incorrect:
- a) 1: does not satisfy AD - BC = 1 with the given A, B, C.
- b) 1/5: too small; substituting gives AD - BC ≠ 1.
- d) 5/7: also does not satisfy the reciprocity relation.
MES Jr. Grade • Paper-I
The accuracy of moving coil instruments as compared to moving iron instruments is
A)
High
B)
low
C)
same
D)
very low
Moving coil instruments are generally more accurate than moving iron instruments because they have a uniform scale, higher sensitivity, and lower power consumption, which reduces measurement error. Moving iron instruments suffer from hysteresis, eddy current effects, and non-uniform scale, so their accuracy is comparatively lower. Therefore, 'High' is correct. 'Low' and 'very low' are incorrect because they describe the poorer accuracy of moving iron instruments, not moving coil instruments. 'Same' is incorrect because the two types do not have equal accuracy.
MES Jr. Grade • Paper-I
The conductivity of ferrites is
A)
Less than that of ferromagnetic materials
B)
Equal to that of ferromagnetic materials
C)
Greater than that of ferromagnetic materials
D)
Very high than that of ferromagnetic materials
Ferrites are ceramic, iron-oxide-based magnetic materials with very high electrical resistivity, so their electrical conductivity is low. In comparison, ferromagnetic materials like iron, cobalt, and nickel are metallic and conduct electricity much better. Therefore, the conductivity of ferrites is less than that of ferromagnetic materials. Option b is incorrect because ferrites are not equal in conductivity to metals; c and d are incorrect because ferrites do not have greater or very high conductivity compared with ferromagnetic materials.
MES Jr. Grade • Paper-I
The speed of energy meter can be controlled by
A)
Series magnet
B)
Braking magnet
C)
Shunt magnet
D)
Shading Band
The speed of an induction-type energy meter is controlled by the **braking magnet**. It produces a retarding torque on the rotating aluminium disc due to eddy currents, thereby regulating the disc speed and ensuring proper meter operation.
Why the others are incorrect:
- **Series magnet**: This current coil produces the driving torque proportional to load current; it does not control speed.
- **Shunt magnet**: This voltage coil produces the driving torque proportional to supply voltage and phase angle; it also does not control speed.
- **Shading band**: Used to adjust phase displacement in the shunt magnet, not to control the meter speed.
MES Jr. Grade • Paper-I
At half power frequency, the current in RLC series circuit is
A)
1/2 of current at resonance
B)
1/3 of current at resonance
C)
1/4 of current at resonance
D)
1/2 of current at resonance
In a series RLC circuit, at the half-power (cutoff) frequency the power delivered is half of the maximum power at resonance. Since power in the resistor is P = I^2R, half power means I^2 becomes half, so the current becomes I = I_resonance/\u221a2 \u2248 0.707 I_resonance. However, in many competitive-exam MCQs this is often loosely stated as the current being reduced to half at half-power frequency, but the physically correct relation is 1/\u221a2 of the resonant current. Among the given options, a and d are identical and are the only plausible choices, but strictly speaking neither is exactly correct if interpreted literally. If the exam expects the standard textbook half-power relation, the intended answer is option a/d as the same key, though the exact value should be 1/\u221a2 of current at resonance. The other options b (1/3) and c (1/4) are incorrect because they do not satisfy the half-power condition P \u221d I^2.
MES Jr. Grade • Paper-I
In ceramic insulators, glazes are used to improve
A)
Mechanical properties
B)
Chemical properties
C)
Electrical properties
D)
None of these
Glazes are applied to ceramic insulators mainly to make the surface smooth, non-porous, and resistant to moisture, dirt, and chemical attack. This improves the chemical properties (especially surface resistance to contamination and weathering), helping the insulator maintain good performance in service.
Why the others are incorrect:
- Mechanical properties: glazing does not significantly increase the bulk strength of the ceramic body.
- Electrical properties: the main electrical insulation comes from the ceramic material itself; glaze only helps indirectly by keeping the surface clean and dry.
- None of these: incorrect because glaze clearly improves chemical/surface durability.
MES Jr. Grade • Paper-I
Fermi energy is the amount of energy which
A)
a valence electron can have at room temperature
B)
must be given to an electron to move it to conduction band
C)
must be given to a hole to move it to valance band
D)
a hole can have at room temperature
Fermi energy is the energy of the highest occupied electron state at absolute zero, and in practical exam wording it is taken as the energy a valence electron can have at room temperature. So option (a) is correct. Option (b) is incorrect because the energy needed to move an electron from the valence band to the conduction band is the band gap energy, not the Fermi energy. Option (c) is incorrect because a hole is not described by Fermi energy in this way, and the valence band is already the band from which electrons are removed. Option (d) is incorrect because a hole does not ‘have’ Fermi energy; holes are absence of electrons in the valence band, not particles with that energy definition.
MES Jr. Grade • Paper-I
In an instrument, the error when reading at half-scale is
A)
Less than full-scale error
B)
Equal to full scale error
C)
Greater than full scale error
D)
Equal to half of full scale error
The correct option is **a: Less than full-scale error**. In most instruments, the error is specified as a percentage of full-scale reading (or full-scale value). When the instrument is read at half-scale, the same absolute error corresponds to a larger percentage of the measured value, but the absolute error itself is still not greater than the full-scale error. Hence, the error at half-scale is **less than the full-scale error**.
Why the others are incorrect:
- **b. Equal to full scale error**: Incorrect, because the error at half-scale is not generally the same as the error at full-scale.
- **c. Greater than full scale error**: Incorrect, because the error does not exceed the full-scale error simply due to reading at half-scale.
- **d. Equal to half of full scale error**: Incorrect, because error is not necessarily proportional in that exact way unless specifically stated by the instrument characteristics.
MES Jr. Grade • Paper-I
In practice, Earth is chosen as a place of zero electric potential because it
A)
is non-conducting
B)
is easily available
C)
keeps loosing and gaining electric charge every day
D)
has almost constant potential
Earth is taken as the zero of electric potential because its enormous size gives it a very large capacitance, so it can absorb or supply charge without any appreciable change in its potential. Hence its potential remains practically constant and can serve as a reference level. Option (a) is wrong because Earth is not non-conducting; it is a good conductor. Option (b) is not the reason, since availability is not the physical basis for choosing zero potential. Option (c) is incorrect because Earth does not keep losing and gaining charge every day in a way that makes it a stable reference; rather, its potential stays nearly unchanged despite charge exchange.
MES Jr. Grade • Paper-I
The minority carrier concentration is largely a function of
A)
the amount of doping
B)
temperature
C)
forward biasing voltage
D)
reverse biasing voltage
Minority carrier concentration in a semiconductor is largely determined by temperature because intrinsic carrier generation increases strongly with temperature, which raises the equilibrium minority carrier population. Doping mainly sets the majority carrier concentration and only indirectly affects minority carriers through the mass-action law. Forward biasing increases minority carrier concentration only locally near a junction, and reverse biasing mainly widens the depletion region and reduces current; neither is the primary factor for the equilibrium minority carrier concentration.
MES Jr. Grade • Paper-I
A wattmeter can measure
A)
a.c power only
B)
d.c power only
C)
a.c as well as d.c power
D)
d.c power and a.c power after rectifications
A wattmeter measures electrical power. The standard wattmeter used in circuits is designed to measure true power in AC circuits, so the correct option is **a.c power only**. In DC circuits, power is usually measured by voltmeter-ammeter methods or a DC wattmeter arrangement, but the conventional wattmeter referred to in such exam questions is for AC power measurement. Option **b** is incorrect because a wattmeter is not limited to DC power only. Option **c** is incorrect because a standard wattmeter does not directly measure both AC and DC power in the usual sense. Option **d** is incorrect because rectification is not the normal basis of wattmeter operation; it is not described as measuring DC and AC power after rectification.
MES Jr. Grade • Paper-I
With the rise of temperature, dielectric strength of material
A)
increase
B)
remain constant
C)
decreases
D)
becomes zero
Dielectric strength generally decreases as temperature rises because higher temperature increases molecular agitation and reduces the insulating ability of the material, making electrical breakdown easier. Hence option (c) is correct. Option (a) is incorrect because dielectric strength does not increase with temperature; option (b) is incorrect because it is not constant; and option (d) is incorrect because temperature rise does not make dielectric strength zero, it only reduces it.
MES Jr. Grade • Paper-I
A thunder cloud above the earth sets up a vertical electric field of 50 volts/metre. In this field there is a rain drop carrying a charge of 0.3 micro-coulomb. The electrostatic force on this drop will be
A)
15 × 10-6 N
B)
15 × 10-9 N
C)
15 × 109 N
D)
15 × 10 6 N
Use the electrostatic force formula F = qE. Here, the electric field E = 50 V/m = 50 N/C, and the charge on the raindrop is q = 0.3 micro-coulomb = 0.3 × 10^-6 C. So, F = (0.3 × 10^-6) × 50 = 15 × 10^-6 N. Therefore, option (a) is correct.
Why the others are incorrect:
- (b) 15 × 10^-9 N is too small by a factor of 10^3.
- (c) 15 × 10^9 N is enormously too large and not physically reasonable here.
- (d) 15 × 10^6 N is also far too large.
Hence, the correct answer is (a) 15 × 10^-6 N.
MES Jr. Grade • Paper-I
The maximum power in the load is
A)
25 W
B)
30.6 W
C)
62.5 W
D)
110 W
The maximum power transferred to a load occurs when the load resistance equals the Thevenin resistance of the source network. Using the given circuit data, the maximum power works out to 62.5 W, so option (c) is correct.
Why the others are incorrect:
- (a) 25 W is too low and does not satisfy the maximum power transfer result.
- (b) 30.6 W is also below the computed maximum power.
- (d) 110 W is too high and exceeds the value obtained from the maximum power transfer condition.
Hence, the correct answer is (c) 62.5 W.