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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
Four identical capacitors are connected as shown in diagram. When a battery of `6 V` is connected between `A` and `B`, the charges stored is found to be `1.5 muC`. The value of `C_(1)` is A. `2.5 muF`B. `15 mu F`C. `1.5 muF`D. `0.1 muF` |
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Answer» Correct Answer - D |
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| 52. |
How many `1muF` capacitors must be connected in parallel to store a charge of 1 C with a potential of 110 V across the capacitors?A. 990B. 900C. 9090D. 909 |
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Answer» Correct Answer - C |
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| 53. |
In the given circuit, a charge of `+80muC` is given to the upper plate of the `4muF` capacitor. Then in the steady state, the charge on the upper plate of the `3muF` capacitor is A. `+32 mu C`B. `+40 muC`C. `+48 muC`D. `+80 muC` |
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Answer» Correct Answer - C |
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| 54. |
Two capacitors having capacitances `C_(1)` and `C_(2)` are charged with 120 V and 200 V batteries respectively. When they are connected in parallel now, it is found that the potential on each one of them is zero. Then,A. `5 C_(1)=3 C_(2)`B. `8 C_(1)=5 C_(2)`C. `9 C_(1)=5 C_(2)`D. `3 C_(1)=5 C_(2)` |
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Answer» Correct Answer - D |
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| 55. |
In the following circuit, the resultant capacitance between `A` and `B` is `1muF`. Then value of `C` is A. `32/11 muF`B. `11/32 muF`C. `23/32 muF`D. `32/23 muF` |
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Answer» Correct Answer - D |
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| 56. |
The resultant capacitance between `A` and `B` in the following figure is equal to A. `1 muF`B. `3 muF`C. `2 muF`D. `1.5 muF` |
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Answer» Correct Answer - A |
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| 57. |
In the figure a capacitor is filled with dielectrics `K_(1)`,` K_(2)` and `K_(3)`. The resultant capacitance is A. `(2epsi_(0)A)/(d) [(1)/(K_(1)) + (1)/(K_(2)) +_ (1)/(K_(3))]`B. `(epsi_(0)A)/(d) [(1)/(K_(1)) + (1)/(K_(2)) + (1)/(K_(3))]`C. `(2epsi_(0)A)/(d) [K_(1) + K_(2) + K_(3)]`D. None of these |
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Answer» Correct Answer - D |
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| 58. |
In the given network capacitance, `C_(1) = 10muF, C_(2) = 5 muF` and `C_(3) = 4muF`. What is the resultant capacitance between `A` and `B`? A. `2.2 muF`B. `3.2 muF`C. `1.2 muF`D. `4.7 muF` |
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Answer» Correct Answer - B |
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| 59. |
In the circuit diagram shown in the adjoining figure, the resultant capacitance between `P` and `Q` is A. `47 muF`B. `3 muF`C. `60 muF`D. `10 muF` |
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Answer» Correct Answer - B |
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| 60. |
A long, hollow conducting cylinder is kept coaxially inisde another long, hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral.A. A potential difference appears between the two cylinders when a charge density is given to the inner cylinderB. A potential difference appears between the two cylinders when a charge density is given to the outer cylinderC. No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylindersD. No potential difference appears between the two cylinders when same charge density is given to both the cylinders |
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Answer» Correct Answer - A |
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| 61. |
A small conducting sphere of radius `r` is lying concentrically inside a bigger hollow conducting sphere of radius `R`. The bigger and smaller spheres are charged with `Q` and `q(Q gt q)` and are insulated from each other. The potential difference between the spheres will beA. `1/(4pi epsi_(0)) (q/r-Q/R)`B. `1/(4pi epsi_(0))(Q/R+q/r)`C. `(1)/(4pi epsi_(0))(q/r-r/R)`D. `1/(4pi epsi_(0)) (q/R-Q/r)` |
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Answer» Correct Answer - C |
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| 62. |
Assertion : A and B are two conducting spheres of same radius. A being solid and B hollow. Both are charged to the same potential. Then, charge on A= charge on B. Reason : Potentials on both are same.A. If both Assertion and Reason are true and Reason is the correct explanation of Assertion.B. If both Assertion and Reason are true but Reason is not correct explanation of Assertion.C. If Assertion is true but Reason is false.D. If Assertion is false but Reason is true. |
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Answer» Correct Answer - A |
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| 63. |
A hollow charged metal sphere has radius `r`. If the potential difference between its surface and a point at a distance `3r` from the centre is V, then electric field intensity at a distance `3r` isA. `(V)/(2r)`B. `(V)/(3r)`C. `(V)/(6r)`D. `(V)/(4r)` |
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Answer» Correct Answer - C |
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| 64. |
A hollow conducting sphere is placed in an electric field produced by a point charge placed at `P` as shown in figure. Let `V_(A), V_(B), V_(C )` be the potentials at points `A, B and C` respectively. Then A. `V_(C) gt V_(B)`B. `V_(B) gt V_(C)`C. `V_(A) gt V_(B)`D. `V_(A)=V_(C)` |
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Answer» Correct Answer - D |
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| 65. |
A sphere of `4 cm` radius is suspended within a hollow sphere of `6 cm` radius. The inner sphere is charged to potential `3` e.s.u. and the outer sphere is earthed. The charge on the inner sphere isA. `1/4` esuB. `30` esuC. `36` esuD. `54` esu |
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Answer» Correct Answer - C |
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| 66. |
There are four concentric shells A,B, C and D of radii `a,2a,3a` and `4a` respectively. Shells B and D are given charges `+q` and `-q` respectively. Shell C is now earthed. The potential difference `V_A-V_C` is `k=(1/(4piepsilon_0))`A. `(Kq)/(2a)`B. `(Kq)/(3a)`C. `(Kq)/(4a)`D. `(Kq)/(6a)` |
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Answer» Correct Answer - D |
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| 67. |
The capacitance of two concentric spherical shells of radii `R_(1)` and `R_(2) (R_(2) gt R_(1))` isA. `4pi epsi_(0)R_(2)`B. `4pi epsi_(0) ((R_(2)-R_(1)))/(R_(1)R_(2))`C. `4pi epsi_(0) (R_(1)R_(2))/((R_(2)-R_(1)))`D. `4pi epsi_(0) R^(1)` |
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Answer» Correct Answer - C |
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| 68. |
A solid conducting sphere having a charge Q is surrounded by an uncharged concentric conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If the shell is now given a charge of `-3Q`, the new potential difference between the same two surfaces is :A. VB. 2VC. 4VD. `-2V` |
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Answer» Correct Answer - A |
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| 69. |
A solid conducting sphere of radius a having a charge q is surrounded by a concentric conducting spherical shell of inner radius `2a` and outer radius `3a` as shown in figure. Find the amount of heat porduced when switch is closed `(k=1/(4piepsilon_0))` A. `(Kq^(2))/(2a)`B. `(Kq^(2))/(3a)`C. `(Kq^(2))/(4a)`D. `(Kq^(2))/(6a)` |
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Answer» Correct Answer - C |
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| 70. |
A and B are two thin concentric hollow conductors having radii `a` and `2a` and charge `2Q` and Q, respectively. If potential of outer sphere is 5V, then potential of inner sphere isA. 20 VB. 10 VC. `(25)/(3)V`D. `(50)/(3)V` |
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Answer» Correct Answer - C |
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| 71. |
The radii of two concentric spherical conducting shells are `r_(1) and r_(2)(gt r_(1))`. The change on the oute shell is q. The charge on the inner shell which is connected to the earth isA. `q((r_(2))/(r_(1)))`B. `q^(2)((r_(1))/(r_(2)))`C. `-q(r_(1)//r_(2))`D. `q^(2)((r_(2))/(r_(1)))` |
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Answer» Correct Answer - C |
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| 72. |
The insulated spheres of radii `R_(1)` and `R_(2)` having charges `Q_(1)` and `Q_(2)` respectively are connected to each other. There isA. an increase in the energy of the systemB. no change in the energy of the systemC. always decrease in energyD. a decrease in energy of the system unless `Q_(1)R_(2)=Q_(2)R_(1)` |
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Answer» Correct Answer - D |
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| 73. |
Two concentric spheres kept in air have radii R and r. They have similar charge and equal surface charge density `sigma`. The electrical potential at their common centre is (where, `epsi_(0) =` permittivity of free space)A. `(sigma (R+r))/(epsi_(0))`B. `(sigma(R-r))/epsi_(0)`C. `(sigma(R+r))/(2 epsi_(0))`D. `(sigma (R+r))/(4 epsi_(0))` |
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Answer» Correct Answer - A |
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| 74. |
Two connectric spheres of radii `R` and `r` have similar charges with equal surface charge densities `(sigam)`. The electric potential at their common centre isA. `sigma/epsi_(0) (R+r)`B. `sigma/epsi_(0) (R-r)`C. `sigma/epsi_(0) (1/R+1/r)`D. `sigma/epsi_(0)(1/R)` |
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Answer» Correct Answer - A |
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| 75. |
Three concentric spherical shells have radii `a, b` and `c(a lt b lt c)` and have surface charge densities `sigma, -sigam` and `sigma` respectively. If `V_(A), V_(B)` and `V_(C)` denote the potentials of the three shells, then for `c = q + b`, we haveA. `V_(C)=V_(A) ne V_(B)`B. `V_(C)=V_(B) ne V_(A)`C. `V_(C) ne V_(B) ne V_(A)`D. `V_(C) = V_(B)=V_(A)` |
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Answer» Correct Answer - A |
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| 76. |
The electric potential at the surface of an atmoic nucleus `(Z = 50)` of radius `9.0 xx 10^(-13) cm` isA. 80 VB. `8 xx 10^(6) V`C. 9 VD. `9 xx 10 V` |
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Answer» Correct Answer - B |
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| 77. |
A spherical condenser has innder and outer spheres of radii a and b respectively. The space between the two is filled with air. The difference between the capacities of two condensers formed when outer sphere is earthed and when inner sphere is earthed will beA. zeroB. `4 pi epsilon_(0)a`C. `4 pi epsilon_(0)b`D. `4pi epsilon_(0)a((b)/(b-a))` |
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Answer» Correct Answer - C |
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| 78. |
A unifrom electric field having a magnitude `E_(0)` and direction along the positive X-axis exists. If the protential `V` is zero at `x = 0`, then its value at `X = +x` will beA. `+xE_(0)`B. `-xE_(0)`C. `+x^(2)E_(0)`D. `-x^(2)E_(0)` |
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Answer» Correct Answer - B |
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| 79. |
Assertion : No work is done in moving a charge along equatorial line. Reason : The electric potential is everywhere zero on the equatorial line of a dipole.A. If both Assertion and Reason are true and Reason is the correct explanation of Assertion.B. If both Assertion and Reason are true but Reason is not correct explanation of Assertion.C. If Assertion is true but Reason is false.D. If Assertion is false but Reason is true. |
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Answer» Correct Answer - C |
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| 80. |
A particle of mass `1.96xx10^(-15)` kg is kept in equilibrium between two horizontal metal plates having potential difference of 400 V separated apart by 0.02 m. then the charge on the particle is (e= electronic charge)A. `3 e`B. `6 e`C. `2 e`D. `5 e` |
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Answer» Correct Answer - B |
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| 81. |
The electric potential difference between two parallel plates is `2000 V`. If the plates are separated by 2 mm, then what is the magnitude of electrostatic force on a charge of `4 xx 10^(-6)C` located midway between the plates ?A. 4 NB. 6 NC. 8 ND. `1.5 xx 10^(-6)N` |
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Answer» Correct Answer - A |
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| 82. |
Two equal charges `q` are placed at a distance of `2a` and a third charge `-2a` is placed at the midpoint. The potential energy of the system isA. `(q^(2))/(8 pi epsilon_(0)a)`B. `(6q^(2))/(8 pi epsilon_(0)a)`C. `-(7q^(2))/(8 pi epsilon_(0)a)`D. `-(9q^(2))/(8 pi epsilon_(0)a)` |
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Answer» Correct Answer - C |
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| 83. |
A capacitor of capacity `C` is connected with a battery of potential `V` in parallel. The distance between its plates is reduced to half at one, assuming that the charge remains the same. Then to charge the capacitance upto the potential `V` again, the energy given by the battery will beA. `CV^(2)//4`B. `CV^(2)//2`C. `2CV^(2)//4`D. `CV^(2)` |
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Answer» Correct Answer - D |
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| 84. |
Four metallic plates each with a surface area A of one side and placed at a distance d from each other. the plates are connected as shown in the fig. Then the capacitance of the system between a and b is - A. `(3 epsi_(0)A)/(d)`B. `(2 epsi_(0)A)/(d)`C. `(2 epsi_(0)A)/(3d)`D. `(3 epsi_(0)A)/(2d)` |
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Answer» Correct Answer - D |
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| 85. |
`0.2 F` capacitor is charged to `600 V` by a battery. On removing the battery it is connected with another parallel plate condenser of `1 F`. The potential decreases toA. 100 VB. 120 VC. 300 VD. 600 V |
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Answer» Correct Answer - A total charge q=cv q=0.2 x 600= 120 C total C=C1 +C2= 0.2+1 =1.2 F q=C V 120=1.2 x V V=100 V |
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| 86. |
Two spherical conductors of radii `4 cm and 5 cm` are charged to the same potential. If `sigma_(1) and sigma_(2)` be respective value of surface density of charge on both the conductors, then the ratio of `sigma_(1)//sigma_(2)` will beA. `(16)/(25)`B. `(15)/(10)`C. `(4)/(5)`D. `(5)/(4)` |
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Answer» Correct Answer - D |
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| 87. |
Identify the work statementA. The electrical potential energy of a system of two protons shall increase if the separation between the two is decreasedB. The electrical potential energy of a proton-electron system will increase if the separation between the two is decreasedC. The electrical potential energy of a proton-electron system will increase if thee separation between the two is increasedD. The electrical potential energy of system of two electrons shall increase if the separation between the two is decreased. |
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Answer» Correct Answer - C |
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| 88. |
The unit of electric permittivity isA. `"volt/m"^(2)`B. `"joule/C"`C. `"farad/m"`D. `"henry/m"` |
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Answer» Correct Answer - C |
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| 89. |
The capacitance of a capacitor does not depend uponA. the medium between the platesB. the size of the platesC. the charges on the platesD. the separation between the plates |
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Answer» Correct Answer - C |
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| 90. |
In a charged capacitor, the energy resides inA. the positive chargesB. Both the positive and negative chargesC. the field betweenthe platesD. around the edge of the capacitor plate |
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Answer» Correct Answer - C |
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| 91. |
Which of the following is not true ?A. For a point charge, the electrostatic potential varies as `1//r`B. For a dipole, the potential depends on the position vector and dipole moment vectorC. The electric dipole potential varies as 1/r at large distanceD. For a point charge, the electrostatic field varies as `1//r^(2)` |
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Answer» Correct Answer - C |
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| 92. |
A lamp is connected in series with a capacitor. Predict your observations for dc and ac connections. What happens in each case if capacitance of the capacitor is reduced?A. lamp will not glowB. lamp will burst outC. lamp will glow normallyD. None of these |
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Answer» Correct Answer - A |
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| 93. |
Two charges of `4 mu C` each are placed at the corners `A` and `B` of an equilaternal triangle of side length `0.2 m` in air. The electric potential at `C` is `[(1)/(4pi epsilon_(0)) = 9 xx 10^(9) (N-m^(2))/(C^(2))]`A. `9 xx 10^(4) V`B. `18 xx 10^(4) V`C. `36 xx 10^(4) V`D. `36 xx 10^(-4) V` |
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Answer» Correct Answer - C |
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| 94. |
In the figure a potential of `+ 1200 V` is given to point `A` and point `B` is earthed, what is the potential at the point `P` ? A. 100 VB. 200 VC. 400 VD. 800 V |
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Answer» Correct Answer - C |
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| 95. |
What is the electric potential at a distance of 9 cm from 3 nC?A. 270 VB. 3 VC. 300 VD. 30 V |
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Answer» Correct Answer - C |
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| 96. |
When a charge of `3` coulombs is placed in a uniform electric field, it experiences a force of `3000` netwon. Within this field, potential difference between two points separated by a distance of `1 cm` isA. 10 VB. 100 VC. 30 VD. 300 V |
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Answer» Correct Answer - A |
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| 97. |
A particle `A` has chrage `+q` and a particle `B` has charge `+4q` with each of them having the same mass `m`. When allowed to fall from rest through the same electric potential difference, the ratio of their speed `(v_(A))/(v_(B))` will becomeA. `2:1`B. `1:2`C. `1:4`D. `4:1` |
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Answer» Correct Answer - B |
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| 98. |
An electron moving with the speed `5xx10^(6)` per sec is shot parallel to the electric field of intensity `1xx10^(3)N//C`. Field is responsible for the retardation of motion of electron. Now evaluate the distance travelled by the electron before coming to rest for an instant (mass of `e= 9xx10^(-31)Kg` charge `= 1.6xx10^(-19)C)`A. 7 mB. 0.7 mmC. 7 cmD. 0.7 cm |
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Answer» Correct Answer - C |
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| 99. |
In the connection shown in the adjoining figure, the equivalent capacity between `A` and `B` will be A. `10.8 muF`B. `69 muF`C. `15 muF`D. `10 muF` |
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Answer» Correct Answer - D |
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| 100. |
Four point charges each +q is placed on the circumference of a circle of diameter `2 d` in such a way that they form a square. The potential at the centre isA. `0`B. `(4kq)/d`C. `(4d)/q`D. `q/(4d)` |
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Answer» Correct Answer - B |
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