MCQOPTIONS
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MCQOPTIONS
This section includes 255 Mcqs, each offering curated multiple-choice questions to sharpen your UPSEE knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
A 2 mC positive charge is located in vacuum at point P1(3, -2, -4) and 5 μC negative charge is located at P2 (1, -4, 2). What is the magnitude of force on the charge at P1? |
| A. | 2.04 N |
| B. | 1.96 N |
| C. | 2.91 N |
| D. | 3.10 N |
| Answer» B. 1.96 N | |
| 52. |
Match List-I with List-II:List-IList-IIa)∇ ⋅ D̅ = ρi)Ampere’s lawb)\(∇×\vec E =\frac{∂\vec B }{∂t} \) ii)Faraday’s lawc)\(∇×\vec H=\vec J +\frac{∂\vec D}{∂t}\)iii)Gauss’s lawChoose the correct option from those given below: |
| A. | a-i; b-ii; c-iii |
| B. | a-ii; b-i; c-iii |
| C. | a-i; b-iii; c-ii |
| D. | a-iii; b-ii; c-i |
| Answer» E. | |
| 53. |
A lightning discharge between clouds during a thunderstorm is of 10 C. The time of the discharge is 10 ms. Determine the average lightning current. |
| A. | 100 A |
| B. | 10 A |
| C. | 1 A |
| D. | 1000 A |
| Answer» E. | |
| 54. |
An inductor of 3.3mH with a series resistance of 12.5 ohms is connected to a 5V dc supply. When the supply is switched off, the circuit current decay to zero in 60 microseconds. What is the value of back e.m.f. generated? |
| A. | -66V |
| B. | -33.3V |
| C. | -22V |
| D. | -30V |
| Answer» D. -30V | |
| 55. |
In spherical system with sphere of radius R the electric field intensity E̅ is expressed as: |
| A. | \(E = \frac{Q}{{2\pi {\varepsilon _o}{R^2}}}{a_R}\) |
| B. | \(E = \frac{2Q}{{4\pi {\varepsilon _o}{R^2}}}{a_R}\) |
| C. | \(E = \frac{Q}{{4\pi {\varepsilon _o}{R^2}}}{a_R}\) |
| D. | \(E = \frac{2Q}{{2\pi {\varepsilon _o}{R^2}}}{a_R}\) |
| Answer» D. \(E = \frac{2Q}{{2\pi {\varepsilon _o}{R^2}}}{a_R}\) | |
| 56. |
Let the electric field vector of a plane electromagnetic wave propagating in a homogenous medium be expressed as \(\rm \vec E={\rm{\hat x}}E_xe^{−(\omega t-\beta z)}\) , where the propagation constant \(\rm \beta\) is a function of the angular frequency \(\rm \omega\). Assume that \(\rm \beta(\omega)\) and \(\rm E_x\) are known and are real. From the information available, which one of the following CANNOT be determined? |
| A. | The type of polarization of the wave. |
| B. | The group velocity of the wave. |
| C. | The phase velocity of the wave. |
| D. | The power flux through the \(\rm z = 0\) plane. |
| Answer» E. | |
| 57. |
Given that the electric flux density D = zρ (cos2 Φ) âz, C/m2 The charge density at point (1,π/4, 3) is |
| A. | 3 |
| B. | 1 |
| C. | 0.5 |
| D. | 0.5 a |
| Answer» D. 0.5 a | |
| 58. |
A parallel plate capacitor filled with two dielectrics is shown in the figure below. If the electric field in the region A is \(4\;kV/cm\), the electric field in the region B, in \(kV/cm\), is |
| A. | 1 |
| B. | 2 |
| C. | 4 |
| D. | 16 |
| Answer» D. 16 | |
| 59. |
In a particular circuit, a coil having a self- inductance of 2 H is required to carry a current of 4 A. A capacitor rated for 400 V is used across the coil in order to prevent sparking during breaking of the circuit. The value of capacitor needed is: |
| A. | 120 μF |
| B. | 100 μF |
| C. | 400 μF |
| D. | 200 μF |
| Answer» E. | |
| 60. |
Find the magnitude of the electric field intensity in a sample of silver having conductivity σ = 6.17 × 107 mho/m, permittivity μe = 0.006 m2/Vs and drift velocity 1 mm/s |
| A. | \(\frac{1}{{10}}\;V/m\) |
| B. | \(\frac{1}{3}\;V/m\) |
| C. | \(\frac{1}{2}\;V/m\) |
| D. | \(\frac{1}{6}\;V/m\) |
| Answer» E. | |
| 61. |
A rolled-paper capacitor of value 0.02 μF is to be constructed using two strips of Aluminium of width 6 cm, and wax impregnated paper of thickness 0.06 mm, whose relative permittivity is 3.The length of foil strips should be: |
| A. | 0.3765 m |
| B. | 0.4765 m |
| C. | 0.5765 m |
| D. | 0.7765 m |
| Answer» E. | |
| 62. |
Directions: Each of the next items consists of two statements, one labeled as the `Assertion (A)' and the other as 'Reason (R)' You are to examine these two statements carefully and select the answers to these items using the codes given below :Assertion (A): Under static conditions, the surface of the conductor is an equipotential surface.Reason (R): The tangential component of the electric field on the conductor surface is zero. |
| A. | Both A and R are individually true and R is the correct explanation of A |
| B. | Both A and R are individually true but R is not the correct explanation of A |
| C. | A is true but R is false |
| D. | A is false but R is true |
| Answer» B. Both A and R are individually true but R is not the correct explanation of A | |
| 63. |
Electric displacement density D at any point on the spherical surface of radius r with a charge Q at the center in a medium with dielectric constant ε is: |
| A. | Q / (4π ε r2) |
| B. | Q / (4π r2) |
| C. | (Q / 4π ε r)2 |
| D. | Q / (4π r)2 |
| Answer» C. (Q / 4π ε r)2 | |
| 64. |
A plane Y = 2 carries infinite sheet of charge 6 nC/m2. If medium is free space then force on a point charge of 10 mC located at the origin is: |
| A. | -1080 πa̅y N |
| B. | -108 πa̅y N |
| C. | -10.8 πa̅y N |
| D. | -1.08 πa̅y N |
| Answer» E. | |
| 65. |
Consider the following statements regarding a conductor and free space boundary:1. No charge and no electric field can exist at any point within the interior of a conductor2. The charge may appear on the surface of a conductor.Which of the above statements are correct? |
| A. | 1 only |
| B. | 2 only |
| C. | Both 1 and 2 |
| D. | Neither 1 nor 2 |
| Answer» D. Neither 1 nor 2 | |
| 66. |
An electron beam carries a total current of -500 μA in the σx direction and has a current density Jz in the region 0 ≤ r ≤ 10-4 m and zero in the region r > 10-4 m. Electron beam velocity is given by Vz = (8 × 107 z)m/s. Calculate the volume charge density at z = 2 cm. |
| A. | 200 m C/m3 |
| B. | 10 m C/m3 |
| C. | -10 m C/m3 |
| D. | -200 m C/m3 |
| Answer» D. -200 m C/m3 | |
| 67. |
Electric flux enclosed by a surface surrounding a charge is equal to the amount of charge enclosed. This is the statement of |
| A. | Faraday’s law |
| B. | Lenz’s law |
| C. | Modified Ampere’s law |
| D. | Gauss’s law |
| Answer» E. | |
| 68. |
Determine the separation between the plates (in mm) of a parallel plate capacitor placed in air, when the area of the plates is 0.002 sq. meter, the voltage of the battery connected to this parallel plate capacitor is 4 V and the charge stored on the plates is 16 pC. |
| A. | 4.4 |
| B. | 2.6 |
| C. | 5.8 |
| D. | 6.4 |
| Answer» B. 2.6 | |
| 69. |
A point charge of 10-9 C is placed at a point A in the free space. The potential difference between two points 20 cm and 10 cm away from the charge at A will be |
| A. | 40 V |
| B. | 45 V |
| C. | 50 V |
| D. | 55 V |
| Answer» C. 50 V | |
| 70. |
A potential field is given by ϕ = 2xy2 – 3y2z. If x̂, ŷ and ẑ are the unit vectors along x, y and z directions respectively, the field intensity at (0, 1, 0) is: |
| A. | 0 V/m |
| B. | 2x̂ - 3ẑ |
| C. | -2x̂ + 3ẑ |
| D. | -2x̂ - 3ẑ |
| Answer» D. -2x̂ - 3ẑ | |
| 71. |
If \(\vec{E}= y \vec{a_x}-x \vec{a_y}\), then \(\nabla \times \vec{E}\) |
| A. | 0 |
| B. | \(y \vec{a_x}\) |
| C. | \(-x\vec{a_y}\) |
| D. | \(-2\vec{a_z}\) |
| Answer» E. | |
| 72. |
A piece of writing paper that is 10 cm wide, 15 cm long and 0.05 mm thick has a dielectric strength of 8 kV/mm. if it is placed between two copper plates and subjected to an increasing voltage, it will break down at |
| A. | 8 kV |
| B. | 4 kV |
| C. | 0.4 kV |
| D. | 0.8 kV |
| Answer» D. 0.8 kV | |
| 73. |
A charge is distributed on x-axis of cartesian system having a line charge density of 6x2 μC/m. Find the total charge over the length of 10 m. |
| A. | 2000 mC |
| B. | 20 mC |
| C. | 200 mC |
| D. | 2 mC |
| Answer» E. | |
| 74. |
For infinite sheets of charges with following uniform charge density are placed at different points in space as following:Sheet-1: 20 pC/m2 at y = 7Sheet-2: -8 pC/m2 at y = 3Sheet-3: 6 pC/m2 at y = -1Sheet-4: -18 pC/m2 at y = -4Find the magnitude of Electric field E at point P(2, 6, -4). Consider relative permittivity of the medium as 1. |
| A. | \(\frac{{40}}{{18\;\pi }}V/m\) |
| B. | 40 π V/m |
| C. | \(\frac{{18\;\pi }}{{25}}V/m\) |
| D. | 18 π V/m |
| Answer» D. 18 π V/m | |
| 75. |
An electric charge of Q coulombs is located at the origin. Consider electric potential V and electric field intensity E at any point (x, y, z). Then |
| A. | E and V are both scalars |
| B. | E and V are both vectors |
| C. | E is a scalar and V is a vector |
| D. | E is a vector and V is a scalar |
| Answer» E. | |
| 76. |
Consider an electron, a neutron and a proton initially at rest and placed along a straight line such that the neutron is exactly at the centre of the line joining the electron and proton. At t = 0 , the particles are released but are constrained to move along the same straight line. Which of these will collide first? |
| A. | the particles will never collide |
| B. | all will collide together |
| C. | proton and neutron |
| D. | electron and neutron |
| Answer» E. | |
| 77. |
Charge density of a line charge is expressed in terms of. |
| A. | C/m2 |
| B. | C |
| C. | C/m |
| D. | C/m3 |
| Answer» D. C/m3 | |
| 78. |
If \(\vec E = - \left( {2{y^3} - 3y{z^2}} \right)\hat x - \left( {6x{y^2} - 3x{z^2}} \right)\hat y + \left( {6xyz} \right)\hat z\) is the electric field in a source free region, a valid expression for the electrostatic potential is |
| A. | xy3 – yz2 |
| B. | 2xy3 – xyz2 |
| C. | y3 + xyz2 |
| D. | 2xy3 – 3xyz2 |
| Answer» E. | |
| 79. |
An infinitely long line, with uniform positive charge density, lies along the z-axis. In cylindrical coordinates (r, ϕ, z), at any point \(\vec P\) not on the z-axis, the direction of the electric field is |
| A. | r̂ |
| B. | ϕ̂ |
| C. | ẑ |
| D. | \(\frac{(\hat r+ \hat z)}{\sqrt{2}}\) |
| Answer» B. ϕ̂ | |
| 80. |
An electromagnet has: |
| A. | Soft Iron core |
| B. | Steel core |
| C. | Nickel core |
| D. | Copper core |
| Answer» B. Steel core | |
| 81. |
For options have been given, out of which three are alike in some manner and one is different. Select the odd one. |
| A. | Electromotive force |
| B. | Electric flux |
| C. | Electrical potential |
| D. | Potential difference |
| Answer» C. Electrical potential | |
| 82. |
Find the force on charge Q1 = 20 μC, due to charge Q2 = -300 μC where, Q1 is at (0,1,2) m and Q2 at (2,0,0) m. |
| A. | \(12~\left( \frac{2{{a}_{x}}-{{a}_{y}}-{{a}_{z}}}{3} \right)N\) |
| B. | \(6\pi \left( \frac{2{{a}_{x}}-{{a}_{y}}{{a}_{z}}}{3} \right)N\) |
| C. | \(\frac{6}{\pi }\left( \frac{2{{a}_{x}}-{{a}_{y}}-{{a}_{z}}}{3} \right)N\) |
| D. | \(6\left( \frac{2{{a}_{x}}-{{a}_{y}}-{{a}_{z}}}{3} \right)N\) |
| Answer» E. | |
| 83. |
A positive charge \(\rm q\) is placed at \(\rm x = 0\) between two infinite metal plates placed at \(\rm x = −d\) and at \(\rm x = +d\) respectively. The metal plates lie in the yz plane.The charge is at rest at \(\rm t=0\), when a voltage \(\rm +V\) is applied to the plate at \(\rm – d\) and voltage \(\rm −V\) is applied to the plate at \(\rm x = +d\). Assume that the quantity of the charge \(\rm q\) is small enough that it does not perturb the field set up by the metal plates. The time that the charge \(\rm q\) takes to reach the right plate is proportional to |
| A. | \(\rm d/V\) |
| B. | \(\rm \sqrt d/V\) |
| C. | \(\rm d/\sqrt V\) |
| D. | \(\sqrt {{\rm{d}}/{\rm{V}}}\) |
| Answer» D. \(\sqrt {{\rm{d}}/{\rm{V}}}\) | |
| 84. |
Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed |
| A. | uniformly over the entire volume of the sphere |
| B. | uniformly over the outer surface of the sphere |
| C. | concentrated around the centre of the sphere |
| D. | Along a straight line passing through the centre of the sphere |
| Answer» C. concentrated around the centre of the sphere | |
| 85. |
Four positive charges 10-9 coulombs each are located on the x – y plane at points (0, 0), (0, 1), (1, 1) and (1, 0) m. The electric field and potential at (0.5, 0.5) m are respectively: |
| A. | 0 and 51 V |
| B. | 0 and 12.5 V |
| C. | 0 and 18 V |
| D. | 0 and 25.5 V |
| Answer» B. 0 and 12.5 V | |
| 86. |
A plane y = 2 carries an infinite sheet of charge 4 nC/m2. If the medium is free space, what is the force on a point charge of 5 mC located at origin? |
| A. | 0.54π a̅y N |
| B. | 0.18 π a̅y N |
| C. | -0.36 π a̅y N |
| D. | -0.18 π a̅y N |
| Answer» D. -0.18 π a̅y N | |
| 87. |
A unit magnetic pole may be defined as that pole which when placed in vacuum at a distance of one metre from a similar and equal pole repels it with a force of |
| A. | \(\frac{1}{{4\pi }}\) Newtons |
| B. | \(\frac{{{\mu _0}}}{{4\pi }}\) Newtons |
| C. | \({\frac{\pi }{{4\mu }}_0}\) Newtons |
| D. | \(\frac{1}{{4\pi {\mu _0}}}\) Newtons |
| Answer» C. \({\frac{\pi }{{4\mu }}_0}\) Newtons | |
| 88. |
How much work is done in moving a charge of 2 coulomb across two points having a potential difference of 5V? |
| A. | 0.4 Joule |
| B. | 2.5 Joule |
| C. | 10 Joule |
| D. | 20 Joule |
| Answer» D. 20 Joule | |
| 89. |
A capacitor is made with a polymeric dielectric having εr of 2.26 and a dielectric breakdown strength of 50 kV / cm. The permittivity of free space is 8.85 pF / m. If the rectangular plates of the capacitor have a width of 20 cm and a length of 40 cm, the maximum electric charge in the capacitor is |
| A. | 2 μC |
| B. | 4 μC |
| C. | 8 μC |
| D. | 10 μC |
| Answer» D. 10 μC | |
| 90. |
Given that d = 10x ax (c/m2), determine the flux crossing a 1 m2 area that is normal to the x-axisis at x = 3m |
| A. | 30 C |
| B. | 10 C |
| C. | \(\frac{{10}}{3}C\) |
| D. | 90 C |
| Answer» B. 10 C | |
| 91. |
Copper behaves as a |
| A. | Conductor always |
| B. | Conductor or dielectric depending on the optical electric field strength |
| C. | Conductor or dielectric depending on the frequency |
| D. | Conductor or dielectric depending on the electric current density |
| Answer» B. Conductor or dielectric depending on the optical electric field strength | |
| 92. |
Consider an interface between two di-electric materials, one with ϵr = 2 while the others have ϵr = 5. If the tangential component of the electric field on one side of the interface has a magnitude of 10 Vm-1. What is the magnitude of the tangential component of the electric field on the other side is? |
| A. | 10 Vm-1 |
| B. | 20 Vm-1 |
| C. | 2 Vm-1 |
| D. | 5 Vm-1 |
| Answer» B. 20 Vm-1 | |
| 93. |
Determine the flux crossing a 1 m2 area that is normal to the x-axis at x = 3 m. Given the electric flux density = 10 × axc/m2. |
| A. | 20 C |
| B. | 10 C |
| C. | 3.33 C |
| D. | 30 C |
| Answer» E. | |
| 94. |
A perfectly conduction metal plate is placed in x-y plane in a right handed coordinate system. A charge of +32πε0√2 columbs is placed at coordinate (0, 0, 2). ϵ0 is the permittivity of free space. Assume \(\hat 1,\;\hat j,\;\hat k\) to be unit vectors along x, y and z axes respectively. At the coordinate. (√2, √2, 0), the electric field vector \(\vec E\) (Newtons/Columb) will be |
| A. | \(2\sqrt 2 \hat k\) |
| B. | \( - 2\;\hat k\) |
| C. | \(2\;\hat k\) |
| D. | \( - 2\sqrt 2 \;\hat k\) |
| Answer» C. \(2\;\hat k\) | |
| 95. |
Electric field intensity, E, due to Q is: |
| A. | F × Q |
| B. | F + Q |
| C. | \(\frac{F}{Q}\) |
| D. | \(\frac{Q}{F}\) |
| Answer» D. \(\frac{Q}{F}\) | |
| 96. |
A voltage of 50 sin 1000 t V is applied across a parallel plate capacitor with plate area of 5 cm2 and plate separation gap of 5 mm. If the dielectric material the capacitor has ε = 2 ε0, then the capacitor current will be (in amperes) |
| A. | \(\frac{{{{10}^4}}}{{{\varepsilon _0}}}\cos {10^3}t\) |
| B. | \({\varepsilon _0}{10^4}\cos {10^3}t\) |
| C. | \(\frac{{{{10}^4}}}{{{\varepsilon _0}}}\sin {10^3}t\) |
| D. | \({\varepsilon _0}{10^4}\sin {10^3}t\) |
| Answer» C. \(\frac{{{{10}^4}}}{{{\varepsilon _0}}}\sin {10^3}t\) | |
| 97. |
A hollow metallic sphere of radius 'r' is kept at a potential of 1 volt. The total electric flux coming out of the concentric spherical surface of radius R(>r) is |
| A. | 4πε0r |
| B. | 4πε0r2 |
| C. | 4πε0R |
| D. | None of the above |
| Answer» B. 4πε0r2 | |
| 98. |
A parallel plate capacitor consisting two dielectric materials is shown in the figure. The middle dielectric slab is place symmetrically with respect to the plates.If the potential difference between one of the plates and the nearest surface of the dielectric interface is 2 Volts, then the ratio ε1 : ε2 is |
| A. | 1 : 4 |
| B. | 2 : 3 |
| C. | 3 : 2 |
| D. | 4 : 1 |
| Answer» D. 4 : 1 | |
| 99. |
For a homogenous medium with volume charge density ρv, permittivity ε and voltage V, what is the ∇2V? |
| A. | -ρv ε |
| B. | ρv/ε |
| C. | ρvε |
| D. | - ρv/ε |
| Answer» E. | |
| 100. |
Potential at all points on the surface of a conductor is |
| A. | the same |
| B. | not the same |
| C. | zero |
| D. | infinity |
| Answer» B. not the same | |