MCQOPTIONS
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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.
| 7301. |
A particle has a mass 400 times than that of the electron and charge is double than that of a electron. It is accelerated by 5V of potential difference. Initially the particle was at rest, then its final kinetic energy will be [MP PMT 1990; DPMT 1999] |
| A. | 5 eV |
| B. | 10 eV |
| C. | 100 eV |
| D. | 2000 eV |
| Answer» C. 100 eV | |
| 7302. |
A pellet carrying charge of 0.5 coulombs is accelerated through a potential of 2,000 volts. It attains a kinetic energy equal to [NCERT 1973; CPMT 1973; JIPMER 2002] |
| A. | 1000 ergs |
| B. | 1000 joules |
| C. | 1000 kWh |
| D. | 500 ergs |
| Answer» C. 1000 kWh | |
| 7303. |
The electric potential at the surface of an atomic nucleus (Z = 50) of radius \[9.0\times ~{{10}^{-13}}cm\]is [CPMT 1990; Pb. PMT 2002; BVP 2003; MP PET 2004] |
| A. | 80 volts |
| B. | \[8\times {{10}^{6}}\]volts |
| C. | 9 volts |
| D. | \[9\times {{10}^{5}}\]volts |
| Answer» C. 9 volts | |
| 7304. |
An electron enters in high potential region \[{{V}_{2}}\] from lower potential region \[{{V}_{1}}\] then its velocity [MP PMT 2003] |
| A. | Will increase |
| B. | Will change in direction but not in magnitude |
| C. | No change in direction of field |
| D. | No change in direction perpendicular to field |
| Answer» B. Will change in direction but not in magnitude | |
| 7305. |
An electron moving with the speed \[5\times {{10}^{6}}\] per sec is shooted parallel to the electric field of intensity \[1\times {{10}^{3}}N/C\]. 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 \[e=9\times {{10}^{-31}}Kg.\] charge \[=1.6\times {{10}^{-19}}C)\] [MP PMT 2003] |
| A. | 7 m |
| B. | 0.7 mm |
| C. | 7 cm |
| D. | 0.7 cm |
| Answer» D. 0.7 cm | |
| 7306. |
A point charge is kept at the centre of a metallic insulated spherical shell. Then [Orissa JEE 2003] |
| A. | Electric field out side the sphere is zero |
| B. | Electric field inside the sphere is zero |
| C. | Net induced charge on the sphere is zero |
| D. | Electric potential inside the sphere is zero |
| Answer» D. Electric potential inside the sphere is zero | |
| 7307. |
A thin spherical conducting shell of radius \[R\] has a charge q. Another charge Q is placed at the centre of the shell. The electrostatic potential at a point p a distance \[\frac{R}{2}\] from the centre of the shell is [AIEEE 2003] |
| A. | \[\frac{(q+Q)}{4\pi {{\varepsilon }_{0}}}\frac{2}{R}\] |
| B. | \[\frac{2Q}{4\pi {{\varepsilon }_{0}}R}\] |
| C. | \[\frac{2Q}{4\pi {{\varepsilon }_{0}}R}-\frac{2q}{4\pi {{\varepsilon }_{0}}R}\] |
| D. | \[\frac{2Q}{4\pi {{\varepsilon }_{0}}R}+\frac{q}{4\pi {{\varepsilon }_{0}}R}\] |
| Answer» E. | |
| 7308. |
A conducting sphere of radius \[R=20\]cm is given a charge \[Q=16\mu C\]. What is \[\overrightarrow{E}\] at centre [BHU 2003] |
| A. | \[3.6\times {{10}^{6}}N/C\] |
| B. | \[1.8\times {{10}^{6}}N/C\] |
| C. | Zero |
| D. | \[0.9\times {{10}^{6}}N/C\] |
| Answer» D. \[0.9\times {{10}^{6}}N/C\] | |
| 7309. |
A proton is about 1840 times heavier than an electron. When it is accelerated by a potential difference of 1 kV, its kinetic energy will be [AIIMS 2003; DCE 2001] |
| A. | 1840 keV |
| B. | 1/1840 keV |
| C. | 1 keV |
| D. | 920 keV |
| Answer» D. 920 keV | |
| 7310. |
A charged particle of mass \[m\] and charge \[q\] is released from rest in a uniform electric field \[E.\] Neglecting the effect of gravity, the kinetic energy of the charged particle after ?t? second is [KCET 2003] |
| A. | \[\frac{E{{q}^{2}}m}{2{{t}^{2}}}\] |
| B. | \[\frac{2{{E}^{2}}{{t}^{2}}}{mq}\] |
| C. | \[\frac{{{E}^{2}}{{q}^{2}}{{t}^{2}}}{2m}\] |
| D. | \[\frac{Eqm}{t}\] |
| Answer» D. \[\frac{Eqm}{t}\] | |
| 7311. |
A simple pendulum of period \[T\] has a metal bob which is negatively charged. If it is allowed to oscillate above a positively charged metal plate, its period will [AIEEE 2002; CBSE PMT 2001] |
| A. | Remains equal to T |
| B. | Less than \[T\] |
| C. | Greater than \[T\] |
| D. | Infinite |
| Answer» C. Greater than \[T\] | |
| 7312. |
An \[\alpha \]-particle is accelerated through a potential difference of 200V. The increase in its kinetic energy is [UPSEAT 2002] |
| A. | 100 eV |
| B. | 200 eV |
| C. | 400 eV |
| D. | 800 eV |
| Answer» D. 800 eV | |
| 7313. |
Cathode rays travelling from east to west enter into region of electric field directed towards north to south in the plane of paper. The deflection of cathode rays is towards [CPMT 2002] |
| A. | East |
| B. | South |
| C. | West |
| D. | North |
| Answer» E. | |
| 7314. |
An electron having charge ?e? and mass ?m? is moving in a uniform electric field E. Its acceleration will be [AIIMS 2002] |
| A. | \[\frac{{{e}^{2}}}{m}\] |
| B. | \[\frac{{{E}^{2}}e}{m}\] |
| C. | \[\frac{eE}{m}\] |
| D. | \[\frac{mE}{e}\] |
| Answer» D. \[\frac{mE}{e}\] | |
| 7315. |
If identical charges \[(-q)\] are placed at each corner of a cube of side b, then electric potential energy of charge \[(+q)\] which is placed at centre of the cube will be [CBSE PMT 2002] |
| A. | \[\frac{8\sqrt{2}{{q}^{2}}}{4\pi {{\varepsilon }_{0}}b}\] |
| B. | \[\frac{-8\sqrt{2}{{q}^{2}}}{\pi {{\varepsilon }_{0}}b}\] |
| C. | \[\frac{-4\sqrt{2}{{q}^{2}}}{\pi {{\varepsilon }_{0}}b}\] |
| D. | \[\frac{-4{{q}^{2}}}{\sqrt{3}\pi {{\varepsilon }_{0}}b}\] |
| Answer» E. | |
| 7316. |
The distance between charges \[5\times {{10}^{-11}}C\] and \[-2.7\times {{10}^{-11}}C\] is 0.2 m. The distance at which a third charge should be placed in order that it will not experience any force along the line joining the two charges is [Kerala PET 2002] |
| A. | 0.44 m |
| B. | 0.65 m |
| C. | 0.556 m |
| D. | 0.350 m |
| Answer» D. 0.350 m | |
| 7317. |
Figure shows the electric lines of force emerging from a charged body. If the electric field at A and B are \[{{E}_{A}}\] and \[{{E}_{B}}\] respectively and if the displacement between A and B is \[r\] then [CPMT 1986, 88] |
| A. | \[{{E}_{A}}>{{E}_{B}}\] |
| B. | \[{{E}_{A}}<{{E}_{B}}\] |
| C. | \[{{E}_{A}}=\frac{{{E}_{B}}}{r}\] |
| D. | \[{{E}_{A}}=\frac{{{E}_{B}}}{{{r}^{2}}}\] |
| Answer» B. \[{{E}_{A}}<{{E}_{B}}\] | |
| 7318. |
If 3 charges are placed at the vertices of equilateral triangle of charge ?q? each. What is the net potential energy, if the side of equilateral \[\Delta \] is l cm [AIEEE 2002] |
| A. | \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{q}^{2}}}{l}\] |
| B. | \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{2{{q}^{2}}}{l}\] |
| C. | \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{3{{q}^{2}}}{l}\] |
| D. | \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{4{{q}^{2}}}{l}\] |
| Answer» D. \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{4{{q}^{2}}}{l}\] | |
| 7319. |
Two point charges \[+9e\] and \[+e\] are at 16 cm away from each other. Where should another charge q be placed between them so that the system remains in equilibrium [MP PET 2002] |
| A. | 24 cm from \[+9e\] |
| B. | 12 cm from \[+9e\] |
| C. | 24 cm from \[+e\] |
| D. | 12 cm from \[+e\] |
| Answer» C. 24 cm from \[+e\] | |
| 7320. |
A charged particle of mass 0.003 gm is held stationary in space by placing it in a downward direction of electric field of \[6\times {{10}^{4}}N/C\]. Then the magnitude of the charge is [Orissa JEE 2002] |
| A. | \[5\times {{10}^{-4}}C\] |
| B. | \[5\times {{10}^{-10}}C\] |
| C. | \[-18\times {{10}^{-6}}C\] |
| D. | \[-5\times {{10}^{-9}}C\] |
| Answer» C. \[-18\times {{10}^{-6}}C\] | |
| 7321. |
A drop of \[{{10}^{-6}}kg\] water carries \[{{10}^{-6}}C\] charge. What electric field should be applied to balance its weight (assume \[g=10m/{{s}^{2}})\] [MP PET 2002] |
| A. | 10 V/m upward |
| B. | 10 V/m downward |
| C. | 0.1 V/m downward |
| D. | 0.1 V/m upward |
| Answer» B. 10 V/m downward | |
| 7322. |
Kinetic energy of an electron accelerated in a potential difference of 100 V is [AFMC 1999; MP PMT 2002] |
| A. | \[1.6\times {{10}^{-17}}\]J |
| B. | \[1.6\times {{10}^{21}}\]J |
| C. | \[1.6\times {{10}^{-29}}\]J |
| D. | \[1.6\times {{10}^{-34}}\]J |
| Answer» B. \[1.6\times {{10}^{21}}\]J | |
| 7323. |
If \[4\times {{10}^{20}}eV\] energy is required to move a charge of 0.25 coulomb between two points. Then what will be the potential difference between them [MHCET 2002] |
| A. | 178 V |
| B. | 256 V |
| C. | 356 V |
| D. | None of these |
| Answer» C. 356 V | |
| 7324. |
A hollow sphere of charge does not produce an electric field at any [MNR 1985; RPET 2001; DPMT 2002; Kerala PMT 2004; Pb PET 2004; Orissa PMT 2004] |
| A. | Point beyond 2 metres |
| B. | Point beyond 10 metres |
| C. | Interior point |
| D. | Outer point |
| Answer» D. Outer point | |
| 7325. |
The work done in bringing a 20 coulomb charge from point A to point B for distance 0.2m is 2J. The potential difference between the two points will be (in volt) [RPET 1999; MP PMT 2002; AIEEE 2002] |
| A. | 0.2 |
| B. | 8 |
| C. | 0.1 |
| D. | 0.4 |
| Answer» D. 0.4 | |
| 7326. |
Electric potential at any point is \[V=-5x+3y+\sqrt{15}z\], then the magnitude of the electric field is [MP PET 2002] |
| A. | \[3\sqrt{2}\] |
| B. | \[4\sqrt{2}\] |
| C. | \[5\sqrt{2}\] |
| D. | 7 |
| Answer» E. | |
| 7327. |
A positively charged particle moving along x-axis with a certain velocity enters a uniform electric field directed along positive y-axis. Its [AMU (Engg.) 2001] |
| A. | Vertical velocity changes but horizontal velocity remains constant |
| B. | Horizontal velocity changes but vertical velocity remains constant |
| C. | Both vertical and horizontal velocities change |
| D. | Neither vertical nor horizontal velocity changes |
| Answer» B. Horizontal velocity changes but vertical velocity remains constant | |
| 7328. |
Three charges \[2q,\,-q,\,-q\] are located at the vertices of an equilateral triangle. At the centre of the triangle [MP PET 1985; J & K CET 2004] |
| A. | The field is zero but potential is non-zero |
| B. | The field is non-zero but potential is zero |
| C. | Both field and potential are zero |
| D. | Both field and potential are non-zero |
| Answer» C. Both field and potential are zero | |
| 7329. |
Three charges \[Q,(+q)\] and \[(+q)\] are placed at the vertices of an equilateral triangle of side l as shown in the figure. If the net electrostatic energy of the system is zero, then Q is equal to [MP PET 2001] |
| A. | \[\left( -\frac{q}{2} \right)\] |
| B. | \[(-q)\] |
| C. | \[(+q)\] |
| D. | Zero |
| Answer» B. \[(-q)\] | |
| 7330. |
The acceleration of an electron in an electric field of magnitude 50 V/cm, if e/m value of the electron is \[1.76\times {{10}^{11}}\]C/kg, is [CPMT 2001] |
| A. | \[8.8\times {{10}^{14}}\]m/sec2 |
| B. | \[6.2\times {{10}^{13}}\] m/sec2 |
| C. | \[5.4\times {{10}^{12}}\] m/sec2 |
| D. | Zero |
| Answer» B. \[6.2\times {{10}^{13}}\] m/sec2 | |
| 7331. |
A ball of mass 1 g and charge \[{{10}^{-8}}C\] moves from a point A. where potential is 600 volt to the point B where potential is zero. Velocity of the ball at the point B is 20 cm/s. The velocity of the ball at the point A will be [KCET 2001] |
| A. | 22.8 cm/s |
| B. | 228 cm/s |
| C. | 16.8 m/s |
| D. | 168 m/s |
| Answer» B. 228 cm/s | |
| 7332. |
Two small spherical balls each carrying a charge \[Q=10\mu C\] (10 micro-coulomb) are suspended by two insulating threads of equal lengths 1m each, from a point fixed in the ceiling. It is found that in equilibrium threads are separated by an angle \[{{60}^{o}}\] between them, as shown in the figure. What is the tension in the threads (Given: \[\frac{1}{(4\pi {{\varepsilon }_{0}})}=9\times {{10}^{9}}Nm/{{C}^{2}}\]) [MP PET 2001; Pb PET 2003] |
| A. | 18 N |
| B. | 1.8 N |
| C. | 0.18 N |
| D. | None of the above |
| Answer» C. 0.18 N | |
| 7333. |
Consider two point charges of equal magnitude and opposite sign separated by a certain distance. The neutral point due to them [Kerala (Engg.) 2001] |
| A. | Does not exist |
| B. | Will be in mid-way between them |
| C. | Lies on the perpendicular bisector of the line joining the two |
| D. | Will be closer to the negative charge |
| Answer» B. Will be in mid-way between them | |
| 7334. |
In an hydrogen atom, the electron revolves around the nucleus in an orbit of radius \[0.53\times {{10}^{-10}}m\]. Then the electrical potential produced by the nucleus at the position of the electron is [Pb. PMT 2001] |
| A. | ? 13.6 V |
| B. | ? 27.2 V |
| C. | 27.2 V |
| D. | 13.6 V |
| Answer» D. 13.6 V | |
| 7335. |
Electric field intensity at a point in between two parallel sheets with like charges of same surface charge densities \[(\sigma )\] is [MP PMT 2001] |
| A. | \[\frac{\sigma }{2{{\varepsilon }_{0}}}\] |
| B. | \[\frac{\sigma }{{{\varepsilon }_{0}}}\] |
| C. | Zero |
| D. | \[\frac{2\sigma }{{{\varepsilon }_{0}}}\] |
| Answer» D. \[\frac{2\sigma }{{{\varepsilon }_{0}}}\] | |
| 7336. |
Potential at a point x-distance from the centre inside the conducting sphere of radius R and charged with charge Q is [MP PMT 2001] |
| A. | \[\frac{Q}{R}\] |
| B. | \[\frac{Q}{x}\] |
| C. | \[\frac{Q}{{{x}^{2}}}\] |
| D. | \[xQ\] |
| Answer» B. \[\frac{Q}{x}\] | |
| 7337. |
Two spheres A and B of radius ?a? and ?b? respectively are at same electric potential. The ratio of the surface charge densities of A and B is [MP PMT 2001] |
| A. | \[\frac{a}{b}\] |
| B. | \[\frac{b}{a}\] |
| C. | \[\frac{{{a}^{2}}}{{{b}^{2}}}\] |
| D. | \[\frac{{{b}^{2}}}{{{a}^{2}}}\] |
| Answer» C. \[\frac{{{a}^{2}}}{{{b}^{2}}}\] | |
| 7338. |
A particle of mass ?m? and charge ?q? is accelerated through a potential difference of V volt, its energy will be [MP PET 2001] |
| A. | \[qV\] |
| B. | \[mqV\] |
| C. | \[\left( \frac{q}{m} \right)V\] |
| D. | \[\frac{q}{mV}\] |
| Answer» B. \[mqV\] | |
| 7339. |
A charge \[(-q)\] and another charge \[(+Q)\] are kept at two points A and B respectively. Keeping the charge \[(+Q)\] fixed at B, the charge \[(-q)\] at A is moved to another point C such that ABC forms an equilateral triangle of side l. The net work done in moving the charge \[(-q)\] is [MP PET 2001] |
| A. | \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{Qq}{l}\] |
| B. | \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{Qq}{{{l}^{2}}}\] |
| C. | \[\frac{1}{4\pi {{\varepsilon }_{0}}}Qql\] |
| D. | Zero |
| Answer» E. | |
| 7340. |
A uniform electric field having a magnitude \[{{E}_{0}}\] and direction along the positive \[X-\]axis exists. If the potential \[V\] is zero at \[x=0\], then its value at \[X=+x\] will be [MP PMT 1987] |
| A. | \[{{V}_{(x)}}=+x{{E}_{0}}\] |
| B. | \[{{V}_{x}}=-x{{E}_{0}}\] |
| C. | \[{{V}_{x}}=+{{x}^{2}}{{E}_{0}}\] |
| D. | \[{{V}_{x}}=-{{x}^{2}}{{E}_{0}}\] |
| Answer» C. \[{{V}_{x}}=+{{x}^{2}}{{E}_{0}}\] | |
| 7341. |
A spherical conductor of radius 2m is charged to a potential of 120 V. It is now placed inside another hollow spherical conductor of radius 6m. Calculate the potential to which the bigger sphere would be raised [KCET 2001] |
| A. | 20 V |
| B. | 60 V |
| C. | 80 V |
| D. | 40 V |
| Answer» E. | |
| 7342. |
A hollow conducting sphere of radius \[R\] has a charge \[(+Q)\] on its surface. What is the electric potential within the sphere at a distance \[r=\frac{R}{3}\] from its centre [MP PMT 2001; UPSEAT 2001; MP PET 2001, 02; Orissa JEE 2005] |
| A. | Zero |
| B. | \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{Q}{r}\] |
| C. | \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{Q}{R}\] |
| D. | \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{Q}{{{r}^{2}}}\] |
| Answer» D. \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{Q}{{{r}^{2}}}\] | |
| 7343. |
If \[q\] is the charge per unit area on the surface of a conductor, then the electric field intensity at a point on the surface is [MP PET 2001; UPSEAT 2001] |
| A. | (1) \[\left( \frac{q}{{{\varepsilon }_{0}}} \right)\] normal to surface |
| B. | \[\left( \frac{q}{2{{\varepsilon }_{0}}} \right)\] normal to surface |
| C. | \[\left( \frac{q}{{{\varepsilon }_{0}}} \right)\] tangential to surface |
| D. | \[\left( \frac{q}{2{{\varepsilon }_{0}}} \right)\] tangential to surface |
| Answer» B. \[\left( \frac{q}{2{{\varepsilon }_{0}}} \right)\] normal to surface | |
| 7344. |
A cube of a metal is given a positive charge Q. For the above system, which of the following statements is true [MP PET 2001] |
| A. | Electric potential at the surface of the cube is zero |
| B. | Electric potential within the cube is zero |
| C. | Electric field is normal to the surface of the cube |
| D. | Electric field varies within the cube |
| Answer» D. Electric field varies within the cube | |
| 7345. |
In the rectangle, shown below, the two corners have charges \[{{q}_{1}}=-5\mu C\] and \[{{q}_{2}}=+2.0\mu C\]. The work done in moving a charge \[+3.0\mu C\] from \[B\] to \[A\] is (take \[1/4\pi {{\varepsilon }_{0}}={{10}^{10}}N\text{-}{{m}^{2}}/{{C}^{2}}\]) [AMU 2001] |
| A. | 2.8 J |
| B. | 3.5 J |
| C. | 4.5 J |
| D. | 5.5 J |
| Answer» B. 3.5 J | |
| 7346. |
The radius of a soap bubble whose potential is 16V is doubled. The new potential of the bubble will be [Pb. PMT 2000] |
| A. | 2V |
| B. | 4V |
| C. | 8V |
| D. | 16V |
| Answer» D. 16V | |
| 7347. |
An electron of mass \[m\] and charge \[e\] is accelerated from rest through a potential difference V in vacuum. The final speed of the electron will be [MP PMT 2000; AMU (Engg.) 2000] |
| A. | \[V\sqrt{e/m}\] |
| B. | \[\sqrt{eV/m}\] |
| C. | \[\sqrt{2eV/m}\] |
| D. | \[2eV/m\] |
| Answer» D. \[2eV/m\] | |
| 7348. |
An electron enters in an electric field with its velocity in the direction of the electric lines of force. Then [MP PMT 2000] |
| A. | The path of the electron will be a circle |
| B. | The path of the electron will be a parabola |
| C. | The velocity of the electron will decrease |
| D. | The velocity of the electron will increase |
| Answer» D. The velocity of the electron will increase | |
| 7349. |
Charges of \[+\frac{10}{3}\times {{10}^{-9}}C\] are placed at each of the four corners of a square of side \[8\,cm\]. The potential at the intersection of the diagonals is [BIT 1993] |
| A. | \[150\sqrt{2}\,volt\] |
| B. | \[1500\sqrt{2}\,volt\] |
| C. | \[900\sqrt{2}\,volt\] |
| D. | \[900\,volt\] |
| Answer» C. \[900\sqrt{2}\,volt\] | |
| 7350. |
An electron is moving towards x-axis. An electric field is along y-direction then path of electron is [RPET 2000] |
| A. | Circular |
| B. | Elliptical |
| C. | Parabola |
| D. | None of these |
| Answer» D. None of these | |