MCQOPTIONS
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MCQOPTIONS
This section includes 383 Mcqs, each offering curated multiple-choice questions to sharpen your NEET knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
Two identical balls A and B are released from the positions shown in figure. They collide elastically on horizontal portion\[M/N\]. All surfaces are smooth. The ratio of heights attained by A and B after collision will be |
| A. | \[1:4\] |
| B. | \[2:1\] |
| C. | \[4:13\] |
| D. | \[2:5\] |
| Answer» D. \[2:5\] | |
| 52. |
A body of mass M splits into two parts \[\alpha \] and \[(1-\alpha )\] M by an internal explosion which generates kinetic energy T. After explosion if the two parts move in the same direction as before, their relative speed will be - |
| A. | \[\sqrt{\frac{T}{(1-\alpha )M}}\] |
| B. | \[\sqrt{\frac{2T}{\alpha (1-\alpha )M}}\] |
| C. | \[\sqrt{\frac{T}{2(1-\alpha )M}}\] |
| D. | \[\sqrt{\frac{2T}{(1-a)M}}\] |
| Answer» C. \[\sqrt{\frac{T}{2(1-\alpha )M}}\] | |
| 53. |
A ball of mass m moving with velocity V makes a head-on elastic collision with a ball of the same mass moving with velocity 2V towards it. Taking direction of V, the positive velocities of the two balls after collision are |
| A. | \[-V\]and 2V |
| B. | 2V and \[-V\] |
| C. | V and \[-2V\] |
| D. | \[-2V\]and V |
| Answer» E. | |
| 54. |
Body of mass m moving with a velocity\[v\]in the \[+\text{ }ve\]X direction collides with a body of mass M moving with a velocity V in the \[+\text{ }ve\]Y direction. The collision is perfectly inelastic. Mark out the correct statement(s) w.r.t. this situation. |
| A. | The magnitude of momentum of the composite body is\[\sqrt{{{(mv)}^{2}}+{{(MV)}^{2}}}\] |
| B. | The composite body moves in a direction making an angle \[\theta ={{\tan }^{-1}}\left( \frac{MV}{mv} \right)\]with \[+\text{ }ve\]X-axis. |
| C. | The loss of kinetic energy due to collision |
| D. | All of the above |
| Answer» E. | |
| 55. |
A chain of mass m and length\[l\]lies on the surface of a rough sphere of radius\[R(>1)\] such that one end of chain is at the top most point of sphere. The chain is held at rest because of friction. The gravitational potential energy of the chain in this position (considering the horizontal diameter of sphere as reference level for gravitational potential energy), is |
| A. | \[\frac{mg{{R}^{2}}}{l}\] |
| B. | \[\frac{mg{{R}^{2}}}{l}\sin \left( \frac{l}{R} \right)\] |
| C. | \[\frac{mg{{R}^{2}}}{l}\cos \left( \frac{l}{R} \right)\] |
| D. | None of these |
| Answer» C. \[\frac{mg{{R}^{2}}}{l}\cos \left( \frac{l}{R} \right)\] | |
| 56. |
Universal time is based on [SCRA 1989] |
| A. | Rotation of the earth on its axis |
| B. | Earth's orbital motion around the earth |
| C. | Vibrations of cesium atom |
| D. | Oscillations of quartz crystal |
| Answer» D. Oscillations of quartz crystal | |
| 57. |
Unit of surface tension is [Orissa PMT 2004] |
| A. | \[N{{m}^{-1}}\] |
| B. | \[N{{m}^{-2}}\] |
| C. | \[{{N}^{2}}{{m}^{-1}}\] |
| D. | \[N{{m}^{-3}}\] |
| Answer» B. \[N{{m}^{-2}}\] | |
| 58. |
The trajectory of a particle moving in vast maidan is as shown in the figure. The coordinates of a position A are (0, 2). The coordinates of another point at which the instantaneous velocity is same as the average velocity between the points are |
| A. | (1, 4) |
| B. | (5, 3) |
| C. | (3, 4) |
| D. | (4, 1) |
| Answer» C. (3, 4) | |
| 59. |
Figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to initial horizontal velocity component, highest first [AMU (Med.) 2000] |
| A. | 1, 2, 3, 4 |
| B. | 2, 3, 4, 1 |
| C. | 3, 4, 1, 2 |
| D. | 4, 3, 2, 1 |
| Answer» E. | |
| 60. |
A spherical conductor of radius 10 cm has a charge of \[3.2\times {{10}^{7}}C\]distributed uniformly. What is the magnitude of electric field at a point 15 cm from the centre of the sphere? [NEET 2020] \[\left( \frac{1}{4\pi {{\in }_{0}}}=9\times {{10}^{9}}N{{m}^{2}}/{{C}^{2}} \right)\] |
| A. | \[1.28\times {{10}^{5}}\,N/C\] |
| B. | \[1.28\times {{10}^{6}}\,N/C\] |
| C. | \[1.28\times {{10}^{7}}\,N/C\] |
| D. | \[1.28\times {{10}^{4}}\,N/C\] |
| Answer» B. \[1.28\times {{10}^{6}}\,N/C\] | |
| 61. |
The capacitance of a parallel plate capacitor with air as medium is \[6\mu F\]. With the introduction of a dielectric medium, the capacitance becomes\[30\mu F\]. The permittivity of the medium is: \[({{\in }_{0}}=8.85\times {{10}^{12}}{{C}^{2}}\text{ }{{N}^{1}}{{m}^{2}})\] [NEET 2020] |
| A. | \[1.77\times {{10}^{12}}{{C}^{2}}{{N}^{1}}{{m}^{2}}\] |
| B. | \[0.44\times {{10}^{10}}{{C}^{2}}{{N}^{1}}{{m}^{2}}\] |
| C. | \[5.00\text{ }{{C}^{2}}{{N}^{1}}{{m}^{2}}\] |
| D. | \[0.44\times {{10}^{13}}{{C}^{2}}{{N}^{1}}{{m}^{2}}\] |
| Answer» C. \[5.00\text{ }{{C}^{2}}{{N}^{1}}{{m}^{2}}\] | |
| 62. |
A short electric dipole has a dipole moment of \[16\times {{10}^{9\text{ }}}C\text{ }m\]. The electric potential due to the dipole at a point at a distance of 0.6 m from the centre of the dipole, situated on a line making an angle of \[60{}^\circ \] with the dipole axis is: \[\left( \frac{1}{4\pi {{\in }_{0}}}=9\times {{10}^{9}}N\,{{m}^{2}}/{{C}^{2}} \right)\] [NEET 2020] |
| A. | 200 V |
| B. | 400 V |
| C. | zero |
| D. | 50 V |
| Answer» B. 400 V | |
| 63. |
Two point charges A and B, having charges +Q and Q respectively, are placed at certain distance apart and force acting between them is F. If 25 % charge of A is transferred to B, then force between the charges becomes- [NEET 2019] |
| A. | \[\frac{16F}{9}\] |
| B. | \[\frac{4F}{3}\] |
| C. | F |
| D. | \[\frac{9F}{16}\] |
| Answer» E. | |
| 64. |
Two parallel infinite line charges with linear charge densities +λ C/m and λ C/m are placed at a distance of 2R in free space. What is the electric field mid-way between the two line charges? [NEET 2019] |
| A. | \[\frac{\lambda }{\pi {{\in }_{0}}R}N/C\] |
| B. | \[\frac{\lambda }{2\pi {{\in }_{0}}R}N/C\] |
| C. | Zero |
| D. | \[\frac{2\lambda }{\pi {{\in }_{0}}R}N/C\] |
| Answer» C. Zero | |
| 65. |
A hollow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre: [NEET 2019] |
| A. | Zero as r increases for r < R, increases as r increases for r > R |
| B. | Decreases as r increases for r < R and for r > R |
| C. | Increases as r increases for r < R and for r > R |
| D. | Zero as r increases for r < R, decreases as r increases for r > R |
| Answer» E. | |
| 66. |
The electrostatic force between the metal plates of an isolated parallel plate capacitor C having a charge Q and area A, is [NEET - 2018] |
| A. | Proportional to the square root of the distance between the plates |
| B. | Linearly proportional to the distance between the plates |
| C. | Independent of the distance between the plates |
| D. | Inversely proportional to the distance between the plates |
| Answer» D. Inversely proportional to the distance between the plates | |
| 67. |
An electron falls from rest through a vertical distance h in a uniform and vertically upward directed electric field E. The direction of electric field is now reversed, keeping its magnitude the same. A proton is allowed to fall from rest in it through the same vertical distance h. The time of fall of the electron, in comparison to the time of fall of the proton is [NEET - 2018] |
| A. | 10 times greater |
| B. | 5 times greater |
| C. | Smaller |
| D. | Equal |
| Answer» D. Equal | |
| 68. |
The diagrams below show regions of equipotentials. [NEET-2017] A positive charge is moved from A to B in each diagram. |
| A. | Maximum work is required to move q in figure [b] |
| B. | Maximum work is required to move q in figure [c] |
| C. | In all the four cases the work done is the same |
| D. | Minimum work is required to move q in figure [a] |
| Answer» D. Minimum work is required to move q in figure [a] | |
| 69. |
Suppose the charge of a proton and an electron differ slightly. One of them is \[-\,e,\] the other is\[(e+\Delta e)\]. If the net of electrostatic force and gravitational force between two hydrogen atoms placed at a distance d (much greater than atomic size) apart is zero, then \[\Delta e\] is of the order of [Given mass of hydrogen\[{{m}_{h}}=1.67\times {{10}^{-27}}kg\]] [NEET-2017] |
| A. | \[{{10}^{-47}}C\] |
| B. | \[{{10}^{-20}}C\] |
| C. | \[{{10}^{-23}}C\] |
| D. | \[{{10}^{-37}}C\] |
| Answer» E. | |
| 70. |
A capacitor of \[2\mu F\] is charged as shown in the diagram. When the switch S is turned to position 2, the percentage of its stored energy dissipated is: [NEET - 2016] |
| A. | 0 |
| B. | 0.2 |
| C. | 0.75 |
| D. | 0.8 |
| Answer» E. | |
| 71. |
A parallel plate air capacitor has capacity C, distance of separation between plates is d and potential difference V is applied between the plates. Force of attraction between the plates of the parallel plate air capacitor is [NEET (Re) 2015] |
| A. | \[\frac{{{C}^{2}}{{V}^{2}}}{2d}\] |
| B. | \[\frac{C{{V}^{2}}}{2d}\] |
| C. | \[\frac{C{{V}^{2}}}{d}\] |
| D. | \[\frac{{{C}^{2}}{{V}^{2}}}{2{{d}^{2}}}\] |
| Answer» E. | |
| 72. |
If potential (in volts) in a region is expressed as\[V(x,y,z)=6xy-y+2yz,\] the electric field (in N/C) at point \[(1,1,0)\]is [NEET (Re) 2015] |
| A. | \[-(3\hat{i}+5\hat{j}+3\hat{k})\] |
| B. | \[-(6\hat{i}+5\hat{j}+2\hat{k})\] |
| C. | \[-(2\hat{i}+3\hat{j}+\hat{k})\] |
| D. | \[-(6\hat{i}+9\hat{j}+\hat{k})\] |
| Answer» C. \[-(2\hat{i}+3\hat{j}+\hat{k})\] | |
| 73. |
The electric field in a certain region is acting radially outward and is given by \[E=Ar.\text{ }A\]. charge contained in a sphere of radius \['a'\] centred at the origin of the field' will be given by [NEET 2015] |
| A. | \[4\pi {{\varepsilon }_{0}}A{{a}^{2}}\] |
| B. | \[A{{\varepsilon }_{0}}{{a}^{2}}\] |
| C. | \[A\pi {{\varepsilon }_{0}}A{{a}^{3}}\] |
| D. | \[{{\varepsilon }_{0}}A{{a}^{3}}\] |
| Answer» B. \[A{{\varepsilon }_{0}}{{a}^{2}}\] | |
| 74. |
A parallel plate air capacitor of capacitance C is connected to a cell of emf V and then disconnected from it. A dielectric slab of dielectric constant K, which can just fill the air gap of the capacitor is now inserted in it. Which of the following is incorrect? [NEET 2015] |
| A. | The potential difference between the plates decreases K times |
| B. | The energy stored in the capacitor decreases K times |
| C. | The change in energy stored is \[\frac{1}{2}C{{V}^{2}}\left( \frac{1}{K}-1 \right)\] |
| D. | The charge on the capacitor is not conserved |
| Answer» E. | |
| 75. |
A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the centre of the sphere respectively are [NEET 2014] |
| A. | zero and \[\frac{Q}{4\pi {{\varepsilon }_{0}}{{R}^{2}}}\] |
| B. | \[\frac{Q}{4\pi {{\varepsilon }_{0}}R}\] and zero |
| C. | \[\frac{Q}{4\pi {{\varepsilon }_{0}}R}\] and \[\frac{Q}{4\pi {{\varepsilon }_{0}}{{R}^{2}}}\] |
| D. | Both are zero |
| Answer» C. \[\frac{Q}{4\pi {{\varepsilon }_{0}}R}\] and \[\frac{Q}{4\pi {{\varepsilon }_{0}}{{R}^{2}}}\] | |
| 76. |
In a region, the potential is represented by \[V(x,\,y,\,z)=6x-8xy-8y+6yz,\] where V is in volts and x, y, z are in metres. The electric force experienced by a charge of 2 coulomb situated at point \[(1,\text{ }1,\text{ }1)\] is [NEET 2014] |
| A. | \[6\sqrt{5}N\] |
| B. | \[30\,N\] |
| C. | \[24\,N\] |
| D. | \[4\sqrt{35}N\] |
| Answer» E. | |
| 77. |
A, B and C are three points in a uniform electric field. The electric potential is [NEET 2013] |
| A. | maximum at A |
| B. | maximum at B |
| C. | maximum at C |
| D. | same at all the three points A, B and C A |
| Answer» C. maximum at C | |
| 78. |
Two pith balls carrying equal charges are suspended from a common point by strings of equal length, the equilibrium separation between them is r. Now the strings are rigidly clamped at half the height. The equilibrium separation between the balls now become. [NEET 2013] |
| A. | \[{{\left( \frac{1}{\sqrt{2}} \right)}^{2}}\] |
| B. | \[\left( \frac{r}{\sqrt[3]{2}} \right)\] |
| C. | \[\left( \frac{2r}{\sqrt{3}} \right)\] |
| D. | \[\left( \frac{2r}{3} \right)\] |
| Answer» C. \[\left( \frac{2r}{\sqrt{3}} \right)\] | |
| 79. |
An electric dipole of moment p is placed in an electric field of intensity E. The dipole acquires a position such that the axis of the dipole makes an angle \[\theta \] with the direction of the field. Assuming that the potential energy of the dipole to be zero when \[\theta ={{90}^{0}},\] the torque and the potential energy of the dipole will respectively be [AIPMT (S) 2012] |
| A. | \[pE\sin \theta ,\,-pE\cos \theta \] |
| B. | \[pE\sin \theta ,-2\,pE\cos \theta \] |
| C. | \[pE\sin \theta ,-2pE\cos \theta \] |
| D. | \[pE\cos \theta ,-pE\sin \theta \] |
| Answer» B. \[pE\sin \theta ,-2\,pE\cos \theta \] | |
| 80. |
A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each plate is A, the energy stored in the capacitor is [AIPMT (M) 2012] |
| A. | \[\frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}}\] |
| B. | \[{{E}^{2}}Ad/{{\varepsilon }_{0}}\] |
| C. | \[\frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}}Ad\] |
| D. | \[{{\varepsilon }_{0}}EAd\] |
| Answer» D. \[{{\varepsilon }_{0}}EAd\] | |
| 81. |
A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected in the region such that its velocity is pointed along the direction of fields, then the electron [AIPMT (S) 2011] |
| A. | speed will decrease |
| B. | speed will increase |
| C. | will turn towards left of direction of motion |
| D. | will turn towards right of direction a motion |
| Answer» B. speed will increase | |
| 82. |
The effective capacitance between points x and y of figure shown is: [AIPMT 1999] |
| A. | \[6\,\mu F\] |
| B. | \[12\,\mu F\] |
| C. | \[18\,\mu F\] |
| D. | \[24\,\mu F\] |
| Answer» B. \[12\,\mu F\] | |
| 83. |
Pour electric charges \[+q,+q,-q\] and \[-q\] are placed at the comers of a square of side 2L (see figure). The electric potential at point A, mid-way between the two charges \[+q\] and \[+q,\] is [AIPMT (S) 2011] |
| A. | \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{2q}{L}\left( 1+\frac{1}{\sqrt{5}} \right)\] |
| B. | \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{2q}{L}\left( 1-\frac{1}{\sqrt{5}} \right)\] |
| C. | zero |
| D. | \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{2q}{L}\left( 1+\sqrt{5} \right)\] |
| Answer» C. zero | |
| 84. |
A charge Q is enclosed by a Gaussian spherical surface of radius R. If the radius is doubled, then the outward electric flux will [AIPMT (S) 2011] |
| A. | be reduced to half |
| B. | remain the same |
| C. | be doubled |
| D. | increase four time |
| Answer» C. be doubled | |
| 85. |
A parallel plate condenser has a uniform electric field E(V/m) in the space between the plates. If the distance between the plates is d(m) and area of each plate is \[A({{m}^{2}})\] the energy (joule) stored in the condenser is [AIPMT (S) 2011] |
| A. | \[\frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}}\] |
| B. | \[{{\varepsilon }_{0}}EAd\] |
| C. | \[\frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}}Ad\] |
| D. | \[{{E}^{2}}Ad/{{\varepsilon }_{0}}\] |
| Answer» D. \[{{E}^{2}}Ad/{{\varepsilon }_{0}}\] | |
| 86. |
The electric field at a distance \[\frac{3R}{2}\] from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance \[\frac{R}{2}\] from the centre of the sphere is [AIPMT (M) 2010] |
| A. | zero |
| B. | E |
| C. | \[\frac{E}{2}\] |
| D. | \[\frac{E}{3}\] |
| Answer» B. E | |
| 87. |
A series combination of n1 capacitors, each of value \[{{C}_{1}},\] is charged by a source of potential difference 4V. When another parallel combination of \[{{n}_{2}}\] capacitors, each of value \[{{C}_{2}},\] is charged by a source of potential difference V, it has the same (total) energy stored in it, as the first combination has. The value of \[{{C}_{2}},\] in terms of \[{{C}_{1}},\] is then [AIPMT (S) 2010] |
| A. | \[\frac{2{{C}_{1}}}{{{n}_{1}}\,{{n}_{2}}}\] |
| B. | \[16\frac{{{n}_{2}}}{{{n}_{1}}\,}{{C}_{1}}\] |
| C. | \[2\frac{{{n}_{2}}}{{{n}_{1}}\,}{{C}_{1}}\] |
| D. | \[\frac{16{{C}_{1}}}{{{n}_{1}}\,{{n}_{2}}\,}\] |
| Answer» E. | |
| 88. |
A square surface of side L metre in the plane of the paper is placed in a uniform electric field E (volt/m) acting along the same place at an angle \[\theta \] with the horizontal side of the square as shown in figure. The electric flux linked to the surface in unit of \[V-m\], is [AIPMT (S) 2010] |
| A. | \[E{{L}^{2}}\] |
| B. | \[E{{L}^{2}}\cos \,\theta \] |
| C. | \[E{{L}^{2}}\sin \,\theta \] |
| D. | 0 |
| Answer» E. | |
| 89. |
Two positive ions, each carrying a charge q, are separated by a distance d. If F is the force of repulsion between the ions, the number of electrons missing from each ion will be (e being the charge on an electron) [AIPMT (S) 2010] |
| A. | \[\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{e}^{2}}}\] |
| B. | \[\sqrt{\frac{4\pi {{\varepsilon }_{0}}F{{e}^{2}}}{{{d}^{2}}}}\] |
| C. | \[\sqrt{\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{e}^{2}}}}\] |
| D. | \[\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{q}^{2}}}\] |
| Answer» D. \[\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{q}^{2}}}\] | |
| 90. |
A parallel plate condenser with oil (dielectric constant 2) between the plates has capacitance C. If oil is removed, the capacitance of capacitor becomes: [AIPMT 1999] |
| A. | \[\sqrt{2}\,C\] |
| B. | 2 C |
| C. | \[\frac{C}{\sqrt{2}}\] |
| D. | \[\frac{C}{2}\] |
| Answer» E. | |
| 91. |
The mean free path of electrons in a metal is \[4\times {{10}^{-8}}\,m\]. The electric field which can give on an average 2 eV energy to an electron in the metal will be in unit of \[V{{m}^{-1}}\] [AIPMT (S) 2009] |
| A. | \[8\times {{10}^{7}}\] |
| B. | \[5\times {{10}^{-11}}\] |
| C. | \[8\times {{10}^{-11}}\] |
| D. | \[5\times {{10}^{7}}\] |
| Answer» E. | |
| 92. |
The electric potential at a point \[(x,\text{ }y,\text{ }z)\] is given by \[V=-{{x}^{2}}\,y-x{{z}^{3}}+4\] The electric field \[\vec{E}\] at that point is [AIPMT (S) 2009] |
| A. | \[\vec{E}=\hat{i}\,(2xy+{{z}^{3}})+\hat{j}\,{{x}^{2}}+\hat{k}\,3x{{z}^{2}}\] |
| B. | \[\vec{E}=\hat{i}\,2xy+\hat{j}({{x}^{2}}+{{y}^{2}})+\hat{k}\,(3xz-{{y}^{2}})\] |
| C. | \[\vec{E}=\hat{i}\,{{z}^{3}}+\hat{j}\,xyz+\hat{k}\,{{z}^{2}}\] |
| D. | \[\vec{E}\,=\,\hat{i}\,(2xy-{{z}^{3}})+\hat{j}\,x{{y}^{2}}+\hat{k}\,3{{z}^{2}}x\] |
| Answer» B. \[\vec{E}=\hat{i}\,2xy+\hat{j}({{x}^{2}}+{{y}^{2}})+\hat{k}\,(3xz-{{y}^{2}})\] | |
| 93. |
Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The [Capacitance and breakdown voltage of the combination will be [AIPMT (S) 2009] |
| A. | \[\frac{C}{3},\,\frac{V}{3}\] |
| B. | \[3C,\,\,\frac{V}{3}\] |
| C. | \[\frac{C}{3},\,3V\] |
| D. | \[3C,\,3V\] |
| Answer» D. \[3C,\,3V\] | |
| 94. |
A student measures the terminal potential difference (V) of a cell (of emf s and internal resistance r) as a function of the current (I) flowing through it. The slope and intercept of the graph between V and I, then respectively, equal [AIPMT (S) 2009] |
| A. | \[\varepsilon \] and \[-r\] |
| B. | \[-r\] and \[\varepsilon \] |
| C. | \[r\] and \[-\,\varepsilon \] |
| D. | \[-\,\varepsilon \] and \[r\] |
| Answer» C. \[r\] and \[-\,\varepsilon \] | |
| 95. |
Three concentric spherical shells have radii a, b and \[c(a |
| A. | \[{{V}_{A}}={{V}_{C}}\ne {{V}_{B}}\] |
| B. | \[{{V}_{C}}={{V}_{B}}\ne {{V}_{A}}\] |
| C. | \[{{V}_{C}}\ne {{V}_{B}}\ne {{V}_{A}}\] |
| D. | \[{{V}_{C}}={{V}_{B}}={{V}_{A}}\] |
| Answer» B. \[{{V}_{C}}={{V}_{B}}\ne {{V}_{A}}\] | |
| 96. |
The energy required to charge a parallel plate condenser of plate separation a and plate area of cross-section A such that the uniform electric field between the plates is E, is [AIPMPT (S) 2008] |
| A. | \[\frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}}/Ad\] |
| B. | \[{{\varepsilon }_{0}}{{E}^{2}}/Ad\] |
| C. | \[{{\varepsilon }_{0}}{{E}^{2}}Ad\] |
| D. | \[\frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}}Ad\] |
| Answer» D. \[\frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}}Ad\] | |
| 97. |
The electric potential at a point in free space due to a charge Q coulomb is \[Q\times {{10}^{11}}V\]. The electric field at that point is [AIPMPT (S) 2008] |
| A. | \[4\pi {{\varepsilon }_{0}}Q\times {{10}^{22}}V/m\] |
| B. | \[12\pi {{\varepsilon }_{0}}Q\times {{10}^{20}}V/m\] |
| C. | \[4\pi {{\varepsilon }_{0}}Q\times {{10}^{20}}V/m\] |
| D. | \[12\pi {{\varepsilon }_{0}}Q\times {{10}^{22}}V/m\] |
| Answer» B. \[12\pi {{\varepsilon }_{0}}Q\times {{10}^{20}}V/m\] | |
| 98. |
Charges \[+q\] and \[-q\] are placed at points A and B respectively which are a distance 2 L apart, C is the midpoint between A and S. The work done in moving a charge +Q along the semicircle CRD is:[AIPMT (S) 2007] |
| A. | \[\frac{qQ}{4\pi {{\varepsilon }_{0}}L}\] |
| B. | \[\frac{qQ}{2\pi {{\varepsilon }_{0}}L}\] |
| C. | \[\frac{qQ}{6\pi {{\varepsilon }_{0}}L}\] |
| D. | \[-\frac{qQ}{6\pi {{\varepsilon }_{0}}L}\] |
| Answer» E. | |
| 99. |
A hollow cylinder has a charge q coulomb within it. If \[\phi \] is the electric flux in unit of voltmeter associated with the curved surface B, the flux linked with the plane surface A in unit of voltmeter will be : [AIPMT (S) 2007] |
| A. | \[\frac{1}{2}\left( \frac{q}{{{\varepsilon }_{0}}}-\phi \right)\] |
| B. | \[\frac{q}{2\,{{\varepsilon }_{0}}}\] |
| C. | \[\frac{\phi }{3}\] |
| D. | \[\frac{q}{{{\varepsilon }_{0}}}-\phi \] |
| Answer» B. \[\frac{q}{2\,{{\varepsilon }_{0}}}\] | |
| 100. |
Two condensers, one of capacity C and the other of capacity \[\frac{C}{2},\] are connected to a V volt battery, as shown. The work done in charging fully both the condensers is: [AIPMT (S) 2007] |
| A. | \[2\,C{{V}^{2}}\] |
| B. | \[\frac{1}{4}\,C{{V}^{2}}\] |
| C. | \[\frac{3}{4}\,C{{V}^{2}}\] |
| D. | \[\frac{1}{2}\,C{{V}^{2}}\] |
| Answer» D. \[\frac{1}{2}\,C{{V}^{2}}\] | |