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MCQOPTIONS
This section includes 12583 Mcqs, each offering curated multiple-choice questions to sharpen your Joint Entrance Exam - Main (JEE Main) knowledge and support exam preparation. Choose a topic below to get started.
| 7201. |
Two spheres of radius \[a\] and \[b\] respectively are charged and joined by a wire. The ratio of electric field of the spheres is [CPMT 1999; JIPMER 2000; RPET 2000] |
| A. | \[a/b\] |
| B. | \[b/a\] |
| C. | \[{{a}^{2}}/{{b}^{2}}\] |
| D. | \[{{b}^{2}}/a\] |
| Answer» C. \[{{a}^{2}}/{{b}^{2}}\] | |
| 7202. |
Two metal pieces having a potential difference of \[800\,V\] are \[0.02\,m\] apart horizontally. A particle of mass \[1.96\times {{10}^{-15}}kg\]is suspended in equilibrium between the plates. If \[e\] is the elementary charge, then charge on the particle is [MP PET 1999] |
| A. | \[e\] |
| B. | \[3e\] |
| C. | \[6e\] |
| D. | \[8e\] |
| Answer» C. \[6e\] | |
| 7203. |
The figure shows some of the electric field lines corresponding to an electric field. The figure suggests [MP PMT 1999] |
| A. | \[{{E}_{A}}>{{E}_{B}}>{{E}_{C}}\] |
| B. | \[{{E}_{A}}={{E}_{B}}={{E}_{C}}\] |
| C. | \[{{E}_{A}}={{E}_{C}}>{{E}_{B}}\] |
| D. | \[{{E}_{A}}={{E}_{C}}<{{E}_{B}}\] |
| Answer» D. \[{{E}_{A}}={{E}_{C}}<{{E}_{B}}\] | |
| 7204. |
The electric potential \[V\] is given as a function of distance \[x\] (metre) by \[V=(5{{x}^{2}}+10x-9)\,volt\]. Value of electric field at \[x=1\] is [MP PET 1999] |
| A. | \[20\,V/m\] |
| B. | \[6\,V/m\] |
| C. | \[11\,V/m\] |
| D. | \[-23\,V/m\] |
| Answer» B. \[6\,V/m\] | |
| 7205. |
A charge of \[5\,C\] is given a displacement of \[0.5\,m\]. The work done in the process is \[10\,J\]. The potential difference between the two points will be [MP PET 1999] |
| A. | \[2\,V\] |
| B. | \[0.25\,V\] |
| C. | \[1\,V\] |
| D. | \[25\,V\] |
| Answer» B. \[0.25\,V\] | |
| 7206. |
An alpha particle is accelerated through a potential difference of \[{{10}^{6}}\,volt\]. Its kinetic energy will be [MP PMT/PET 1998] |
| A. | \[1\,MeV\] |
| B. | \[2\,MeV\] |
| C. | \[4\,MeV\] |
| D. | \[8\,MeV\] |
| Answer» C. \[4\,MeV\] | |
| 7207. |
The unit of intensity of electric field is [MP PMT/PET 1998] |
| A. | \[Newton/Coulomb\] |
| B. | \[Joule/Coulomb\] |
| C. | \[Volt-metre\] |
| D. | \[Newton/metre\] |
| Answer» B. \[Joule/Coulomb\] | |
| 7208. |
Equal charges are given to two spheres of different radii. The potential will [MP PMT/PET 1998; MH CET 2000] |
| A. | Be more on the smaller sphere |
| B. | Be more on the bigger sphere |
| C. | Be equal on both the spheres |
| D. | Depend on the nature of the materials of the spheres |
| Answer» B. Be more on the bigger sphere | |
| 7209. |
Two point charges \[100\,\mu \,C\] and \[5\,\mu \,C\] are placed at points \[A\] and \[B\] respectively with \[AB=40\,cm\]. The work done by external force in displacing the charge \[5\,\mu \,C\] from \[B\] to \[C\], where \[BC=30\,cm\], angle \[ABC=\frac{\pi }{2}\] and \[\frac{1}{4\pi {{\varepsilon }_{0}}}=9\times {{10}^{9}}N{{m}^{2}}/{{C}^{2}}\] [MP PMT 1997] |
| A. | \[9\,J\] |
| B. | \[\frac{81}{20}J\] |
| C. | \[\frac{9}{25}J\] |
| D. | \[-\frac{9}{4}J\] |
| Answer» E. | |
| 7210. |
Two equal charges \[q\] are placed at a distance of \[2a\] and a third charge \[-2q\] is placed at the midpoint. The potential energy of the system is [MP PMT 1997] |
| A. | \[\frac{{{q}^{2}}}{8\pi {{\varepsilon }_{0}}a}\] |
| B. | \[\frac{6{{q}^{2}}}{8\pi {{\varepsilon }_{0}}a}\] |
| C. | \[-\frac{7{{q}^{2}}}{8\pi {{\varepsilon }_{0}}a}\] |
| D. | \[\frac{9{{q}^{2}}}{8\pi {{\varepsilon }_{0}}a}\] |
| Answer» D. \[\frac{9{{q}^{2}}}{8\pi {{\varepsilon }_{0}}a}\] | |
| 7211. |
The electric field inside a spherical shell of uniform surface charge density is [CPMT 1982; MP PET 1994; RPET 2000] |
| A. | Zero |
| B. | Constant, less than zero |
| C. | Directly proportional to the distance from the centre |
| D. | None of the above |
| Answer» B. Constant, less than zero | |
| 7212. |
In Millikan's oil drop experiment an oil drop carrying a charge Q is held stationary by a potential difference \[2400\,V\] between the plates. To keep a drop of half the radius stationary the potential difference had to be made \[600\,V\]. What is the charge on the second drop [MP PET 1997] |
| A. | \[\frac{Q}{4}\] |
| B. | \[\frac{Q}{2}\] |
| C. | \[Q\] |
| D. | \[\frac{3Q}{2}\] |
| Answer» C. \[Q\] | |
| 7213. |
Equal charges \[q\] are placed at the vertices \[A\] and \[B\] of an equilateral triangle \[ABC\] of side \[a\]. The magnitude of electric field at the point \[C\] is [MP PMT 1997] |
| A. | \[\frac{q}{4\pi {{\varepsilon }_{0}}{{a}^{2}}}\] |
| B. | \[\frac{\sqrt{2}\,q}{4\pi {{\varepsilon }_{0}}{{a}^{2}}}\] |
| C. | \[\frac{\sqrt{3}\,q}{4\pi {{\varepsilon }_{0}}{{a}^{2}}}\] |
| D. | \[\frac{q}{2\pi {{\varepsilon }_{0}}{{a}^{2}}}\] |
| Answer» D. \[\frac{q}{2\pi {{\varepsilon }_{0}}{{a}^{2}}}\] | |
| 7214. |
Two insulated charged conducting spheres of radii \[20\,cm\] and \[15\,cm\]respectively and having an equal charge of \[10\,C\] are connected by a copper wire and then they are separated. Then [MP PET 1997] |
| A. | Both the spheres will have the same charge of \[10\,C\] |
| B. | Surface charge density on the \[20\,cm\] sphere will be greater than that on the \[15\,cm\] sphere |
| C. | Surface charge density on the \[15\,cm\] sphere will be greater than that on the \[20\,cm\] sphere |
| D. | Surface charge density on the two spheres will be equal |
| Answer» D. Surface charge density on the two spheres will be equal | |
| 7215. |
Four identical charges \[+\,50\,\mu C\] each are placed, one at each corner of a square of side \[2\,m\]. How much external energy is required to bring another charge of \[+\,50\,\mu C\] from infinity to the centre of the square \[\left( \text{Given}\frac{\text{1}}{\text{4}\pi {{\varepsilon }_{\text{0}}}}=9\times {{10}^{9}}\frac{N{{m}^{2}}}{{{C}^{2}}} \right)\] |
| A. | \[64\,J\] |
| B. | \[41\,J\] |
| C. | \[16\,J\] |
| D. | \[10\,J\] |
| Answer» B. \[41\,J\] | |
| 7216. |
A mass \[m=20\,g\] has a charge \[q=3.0\,mC\]. It moves with a velocity of \[20\,m/s\] and enters a region of electric field of \[80\,N/C\]in the same direction as the velocity of the mass. The velocity of the mass after 3 seconds in this region is |
| A. | \[80\,m/s\] |
| B. | \[56\,m/s\] |
| C. | \[44\,m/s\] |
| D. | \[40\,m/s\] |
| Answer» C. \[44\,m/s\] | |
| 7217. |
Two positive charges of 20 \[coulomb\] and \[Q\ coulomb\]are situated at a distance of \[60\,cm\]. The neutral point between them is at a distance of \[20\,cm\] from the \[20\,coulomb\] charge. Charge \[Q\] is |
| A. | \[30\,C\] |
| B. | \[40\,C\] |
| C. | \[60\,C\] |
| D. | \[80\,C\] |
| Answer» E. | |
| 7218. |
Two charge \[+\,q\] and \[-\,q\] are situated at a certain distance. At the point exactly midway between them |
| A. | Electric field and potential both are zero |
| B. | Electric field is zero but potential is not zero |
| C. | Electric field is not zero but potential is zero |
| D. | Neither electric field nor potential is zero |
| Answer» D. Neither electric field nor potential is zero | |
| 7219. |
What is the magnitude of a point charge due to which the electric field \[30\,cm\] away has the magnitude \[2\,newton/coulomb\] \[[1/4\pi {{\varepsilon }_{0}}=9\times {{10}^{9}}N{{m}^{2}}/{{C}^{2}}]\] [MP PMT 1996] |
| A. | \[2\times {{10}^{-11}}coulomb\] |
| B. | \[3\times {{10}^{-11}}coulomb\] |
| C. | \[5\times {{10}^{-11}}coulomb\] |
| D. | \[9\times {{10}^{-11}}coulomb\] |
| Answer» B. \[3\times {{10}^{-11}}coulomb\] | |
| 7220. |
Two charged spheres of radii 10 cm and 15 cm are connected by a thin wire. No current will flow, if they have [MP PET 1991; CPMT 1975] |
| A. | The same charge on each |
| B. | The same potential |
| C. | The same energy |
| D. | The same field on their surfaces |
| Answer» C. The same energy | |
| 7221. |
The magnitude of electric field \[E\] in the annular region of a charged cylindrical capacitor [IIT 1996] |
| A. | Is same throughout |
| B. | Is higher near the outer cylinder than near the inner cylinder |
| C. | Varies as \[1/r\], where \[r\] is the distance from the axis |
| D. | Varies as \[1/{{r}^{2}}\], where \[r\] is the distance from the axis |
| Answer» D. Varies as \[1/{{r}^{2}}\], where \[r\] is the distance from the axis | |
| 7222. |
The distance between a proton and electron both having a charge \[1.6\times {{10}^{-19}}coulomb\], of a hydrogen atom is \[{{10}^{-10}}metre\]. The value of intensity of electric field produced on electron due to proton will be [MP PET 1996] |
| A. | \[2.304\times {{10}^{-10}}N/C\] |
| B. | \[14.4\,V/m\] |
| C. | \[16\,V/m\] |
| D. | \[1.44\times {{10}^{11}}N/C\] |
| Answer» E. | |
| 7223. |
A metallic solid sphere is placed in a uniform electric field. The lines of force follow the path(s) shown in figure as [IIT 1996] |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» E. | |
| 7224. |
At a certain distance from a point charge the electric field is \[500\,V/m\] and the potential is \[3000\,V\]. What is this distance [MP PMT 1995; Pb. PMT 2001; AFMC 2001] |
| A. | \[6\,m\] |
| B. | \[12\,m\] |
| C. | \[36\,m\] |
| D. | \[144\,m\] |
| Answer» B. \[12\,m\] | |
| 7225. |
The unit of electric field is not equivalent to [MP PMT 1995] |
| A. | \[N/C\] |
| B. | \[J/C\] |
| C. | \[V/m\] |
| D. | \[J/C-m\] |
| Answer» C. \[V/m\] | |
| 7226. |
Angle between equipotential surface and lines of force is [MP PET 1995] |
| A. | Zero |
| B. | \[180{}^\circ \] |
| C. | \[90{}^\circ \] |
| D. | \[45{}^\circ \] |
| Answer» D. \[45{}^\circ \] | |
| 7227. |
Below figures (1) and (2) represent lines of force. Which is correct statement [MP PET 1995] |
| A. | Figure (1) represents magnetic lines of force |
| B. | Figure (2) represents magnetic lines of force |
| C. | Figure (1) represents electric lines of force |
| D. | Both figure (1) and figure (2) represent magnetic lines of force |
| Answer» B. Figure (2) represents magnetic lines of force | |
| 7228. |
Deutron and \[\alpha -\]particle are put \[1\,{AA}\] apart in air. Magnitude of intensity of electric field due to deutron at \[\alpha -\]particle is [MP PET 1995] |
| A. | Zero |
| B. | \[2.88\times {{10}^{11}}\,newton/coulomb\] |
| C. | \[1.44\times {{10}^{11}}\,newton/coulomb\] |
| D. | \[5.76\times {{10}^{11}}\,newton/coulomb\] |
| Answer» D. \[5.76\times {{10}^{11}}\,newton/coulomb\] | |
| 7229. |
A particle \[A\] has charge \[+q\] 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 \[\frac{{{v}_{A}}}{{{v}_{B}}}\] will become [BHU 1995; MNR 1991; UPSEAT 2000; Pb PET 2004] |
| A. | \[2:1\] |
| B. | \[1:2\] |
| C. | \[1:4\] |
| D. | \[4:1\] |
| Answer» C. \[1:4\] | |
| 7230. |
There is an electric field \[E\] in X-direction. If the work done on moving a charge \[0.2\,C\] through a distance of \[2\,m\] along a line making an angle \[60{}^\circ \] with the X-axis is 4.0, what is the value of \[E\] [CBSE PMT 1995] |
| A. | \[\sqrt{3}\,N/C\] |
| B. | \[4\,N/C\] |
| C. | \[5\,N/C\] |
| D. | None of these |
| Answer» E. | |
| 7231. |
Four equal charges \[Q\] are placed at the four corners of a square of each side is \['a'\]. Work done in removing a charge ? Q from its centre to infinity is [AIIMS 1995] |
| A. | 0 |
| B. | \[\frac{\sqrt{2}{{Q}^{2}}}{4\pi {{\varepsilon }_{0}}a}\] |
| C. | \[\frac{\sqrt{2}{{Q}^{2}}}{\pi {{\varepsilon }_{0}}a}\] |
| D. | \[\frac{{{Q}^{2}}}{2\pi {{\varepsilon }_{0}}a}\] |
| Answer» D. \[\frac{{{Q}^{2}}}{2\pi {{\varepsilon }_{0}}a}\] | |
| 7232. |
The electric field near a conducting surface having a uniform surface charge density \[\sigma \] is given by [MP PMT 1994] |
| A. | \[\frac{\sigma }{{{\varepsilon }_{0}}}\] and is parallel to the surface |
| B. | \[\frac{2\sigma }{{{\varepsilon }_{0}}}\] and is parallel to the surface |
| C. | \[\frac{\sigma }{{{\varepsilon }_{0}}}\] and is normal to the surface |
| D. | \[\frac{2\sigma }{{{\varepsilon }_{0}}}\] and is normal to the surface |
| Answer» D. \[\frac{2\sigma }{{{\varepsilon }_{0}}}\] and is normal to the surface | |
| 7233. |
Three particles, each having a charge of \[10\,\mu C\] are placed at the corners of an equilateral triangle of side \[10\,cm\]. The electrostatic potential energy of the system is (Given \[\frac{1}{4\pi {{\varepsilon }_{0}}}=9\times {{10}^{9}}N-{{m}^{2}}/{{C}^{2}}\]) [MP PMT 1994] |
| A. | Zero |
| B. | Infinite |
| C. | \[27\,J\] |
| D. | \[100\,J\] |
| Answer» D. \[100\,J\] | |
| 7234. |
Conduction electrons are almost uniformly distributed within a conducting plate. When placed in an electrostatic field \[\overrightarrow{E}\], the electric field within the plate [MP PMT 1994] |
| A. | Is zero |
| B. | Depends upon \[E\] |
| C. | Depends upon \[\overrightarrow{E}\] |
| D. | Depends upon the atomic number of the conducting element |
| Answer» B. Depends upon \[E\] | |
| 7235. |
The intensity of the electric field required to keep a water drop of radius \[{{10}^{-5}}cm\] just suspended in air when charged with one electron is approximately [MP PMT 1994] |
| A. | \[260\,volt/cm\] |
| B. | \[260\,newton/coulomb\] |
| C. | \[130\,volt/cm\] |
| D. | \[130\,newton/coulomb\] \[(g=10\,newton/kg,\,e=1.6\times {{10}^{-19}}coulomb)\] |
| Answer» C. \[130\,volt/cm\] | |
| 7236. |
Two plates are \[2\,cm\] apart, a potential difference of\[10\ volt\] is applied between them, the electric field between the plates is [MP PET 1994; DPMT 2002] |
| A. | \[20\ N/C\] |
| B. | \[500\,N/C\] |
| C. | \[5\,N/C\] |
| D. | \[250\ N/C\] |
| Answer» C. \[5\,N/C\] | |
| 7237. |
Two point charges \[Q\] and ? 3Q are placed at some distance apart. If the electric field at the location of \[Q\] is \[E\] then at the locality of \[-3Q\], it is [BIT 1987] |
| A. | \[-E\] |
| B. | \[E/3\] |
| C. | \[-3E\] |
| D. | \[-E/3\] |
| Answer» C. \[-3E\] | |
| 7238. |
On rotating a point charge having a charge q around a charge Q in a circle of radius r. The work done will be [CPMT 1990, 97; MP PET 1993; AIIMS 1997; DCE 2003; KCET 2005] |
| A. | \[q\times 2\pi r\] |
| B. | \[\frac{q\times 2\pi Q}{r}\] |
| C. | Zero |
| D. | \[\frac{Q}{2{{\varepsilon }_{0}}r}\] |
| Answer» D. \[\frac{Q}{2{{\varepsilon }_{0}}r}\] | |
| 7239. |
Two charges \[+4e\] and \[+e\]are at a distance\[x\] apart. At what distance, a charge \[q\] must be placed from charge \[+e\]so that it is in equilibrium |
| A. | \[x/2\] |
| B. | \[2x/3\] |
| C. | \[x/3\] |
| D. | \[x/6\] |
| Answer» D. \[x/6\] | |
| 7240. |
Two small spheres each carrying a charge \[q\] are placed \[r\] metre apart. If one of the spheres is taken around the other one in a circular path of radius \[r\], the work done will be equal to [CPMT 1975, 91, 2001; NCERT 1980, 83; EAMCET 1994; MP PET 1995; MNR 1998; Pb. PMT 2000] |
| A. | Force between them \[\times \,r\] |
| B. | Force between them \[\times \,2\pi r\] |
| C. | Force between them \[/2\pi r\] |
| D. | Zero |
| Answer» E. | |
| 7241. |
A metallic sphere has a charge of \[10\mu C\]. A unit negative charge is brought from \[A\]to \[B\] both \[100\,cm\] away from the sphere but A being east of it while \[B\]being on west. The net work done is |
| A. | Zero |
| B. | \[2/10\ joule\] |
| C. | \[-2/10\ joule\] |
| D. | \[-1/10\ joule\] |
| Answer» B. \[2/10\ joule\] | |
| 7242. |
If \[E\] is the electric field intensity of an electrostatic field, then the electrostatic energy density is proportional to [MP PMT 2003] |
| A. | \[E\] |
| B. | \[{{E}^{2}}\] |
| C. | \[1/{{E}^{2}}\] |
| D. | \[{{E}^{3}}\] |
| Answer» C. \[1/{{E}^{2}}\] | |
| 7243. |
Two spheres \[A\]and \[B\] of radius \[4cm\] and \[6cm\] are given charges of \[80\mu c\] and \[40\mu c\]respectively. If they are connected by a fine wire, the amount of charge flowing from one to the other is [MP PET 1991] |
| A. | \[20\mu C\]from \[A\]to \[B\] |
| B. | \[16\mu C\] from \[A\]to \[B\] |
| C. | \[32\mu C\]from \[B\] to \[A\] |
| D. | \[32\mu C\] from \[A\]to \[B\] |
| Answer» E. | |
| 7244. |
A charge particle is free to move in an electric field. It will travel [IIT 1979] |
| A. | Always along a line of force |
| B. | Along a line of force, if its initial velocity is zero |
| C. | Along a line of force, if it has some initial velocity in the direction of an acute angle with the line of force |
| D. | None of the above |
| Answer» C. Along a line of force, if it has some initial velocity in the direction of an acute angle with the line of force | |
| 7245. |
The distance between the two charges \[25\mu C\] and \[36\mu C\] is \[11cm\] At what point on the line joining the two, the intensity will be zero |
| A. | At a distance of \[5\,cm\]from \[25\mu C\] |
| B. | At a distance of \[5\,cm\]from \[36\mu C\] |
| C. | At a distance of \[10\,cm\]from \[25\mu C\] |
| D. | At a distance of \[11\,cm\]from \[36\mu C\] |
| Answer» B. At a distance of \[5\,cm\]from \[36\mu C\] | |
| 7246. |
A hollow metallic sphere of radius R is given a charge Q. Then the potential at the centre is [Orissa JEE 2005] |
| A. | Zero |
| B. | \[\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{Q}{R}\] |
| C. | \[\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{2Q}{R}\] |
| D. | \[\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{Q}{2R}\] |
| Answer» C. \[\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{2Q}{R}\] | |
| 7247. |
. The insulation property of air breaks down at \[E=3\times {{10}^{6}}\] volt/metre. The maximum charge that can be given to a sphere of diameter \[5\,m\] is approximately (in coulombs) [MP PMT 1990] |
| A. | \[2\times {{10}^{-2}}\] |
| B. | \[2\times {{10}^{-3}}\] |
| C. | \[2\times {{10}^{-4}}\] |
| D. | \[2\times {{10}^{-5}}\] |
| Answer» C. \[2\times {{10}^{-4}}\] | |
| 7248. |
In the following diagram the work done in moving a point charge from point P to point A, B and C is respectively as \[{{W}_{A}}\],\[~{{W}_{B}}\] and \[{{W}_{C}}\], then [J & K CET 2005] |
| A. | \[{{W}_{A}}=\text{ }{{W}_{B}}=\text{ }{{W}_{C}}\] |
| B. | \[{{W}_{A}}=\text{ }{{W}_{B}}=\text{ }{{W}_{C}}=\text{ }0\] |
| C. | \[{{W}_{A}}>\text{ }{{W}_{B}}>\text{ }{{W}_{C}}\] |
| D. | \[{{W}_{A}}<\text{ }{{W}_{B}}<\text{ }{{W}_{C}}\] |
| Answer» C. \[{{W}_{A}}>\text{ }{{W}_{B}}>\text{ }{{W}_{C}}\] | |
| 7249. |
Charges 4Q, q and Q and placed along x-axis at positions \[x=0,x=l/2\] and \[x=l\], respectively. Find the value of q so that force on charge Q is zero [DPMT 2005] |
| A. | Q |
| B. | Q / 2 |
| C. | ? Q / 2 |
| D. | ? Q |
| Answer» E. | |
| 7250. |
If an electron moves from rest from a point at which potential is 50 volt to another point at which potential is 70 volt, then its kinetic energy in the final state will be [J & K CET 2005] |
| A. | 3.2 × 10?10 J |
| B. | 3.2 × 10?18 J |
| C. | 1 N |
| D. | 1 dyne |
| Answer» C. 1 N | |