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Electrostatics

159 Questions Start Allen Test
All Exams Allen
Q51 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
Certain positive charge is given to a conductor. Then its potential:-
A.
is maximum at the surface
B.
is maximum at the centre
C.
remains same throughout the conductor
D.
is maximum somewhere between the surface and the centre
Q52 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
Potential inside a charged spherical shell is :-
A.
uniform
B.
proportional to the distance from the centre
C.
inversely proportional to the distance
D.
inversely proportional to square of distance from the centre
Q53 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
A solid conducting sphere having a charge Q is surrounded by an uncharged concentric conducting spherical shell. Let the potential difference between the surface of the solid sphere and the outer surface of the shell be V. If the shell is now given a charge -3Q the new potential difference between the same two surfaces is :-
A.
V
B.
2V
C.
4V
D.
-2V
Q54 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
Four charges 2C, -3C, -4C and 5C respectively are placed at the four corners of a square. Which of the following statements is true for the point of intersection of the diagonals?
A.
E = 0, V = 0
B.
E ā‰  0, V = 0
C.
E = 0, V ā‰  0
D.
E ā‰  0, V ā‰  0
Q55 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
A non - conducting ring is of radius 0.5 m. $1.11 \times 10^{-10}$ coulombs charge is non - uniformly distributed over the circumference of ring which produces electric field E around itself. If $\ell = 0$ is the centre of the ring, then the value of $\int_{\ell=\infty}^{\ell=0} -\vec{E}.d\ell$ is:-
A.
2 V
B.
- 2 V
C.
- 1 V
D.
zero
Q56 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 volts. The electric field at the centre of the sphere will be :-
A.
50 volt/meter
B.
10 volt/meter
C.
5 volt/meter
D.
zero
Q57 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
The potential at a distance R/2 from the centre of a conducting sphere of radius R containing charge Q will be :-
A.
0
B.
$\frac{Q}{8\pi\in_{0}R}$
C.
$\frac{Q}{4\pi\in_{0}R}$
D.
$\frac{Q}{2\pi\in_{0}R}$
Q58 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
Four charges +Q, -Q, +Q and -Q are situated at the corners of a square; in a sequence then at the centre of the square :-
A.
E = 0, V = 0
B.
E = 0, V ā‰  0
C.
E ā‰  0, V = 0
D.
E = 0, V ā‰  0
Q59 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
Electric field at a distance x from the origin is given as $E = \frac{100N - m^{2}/C}{x^{2}}$ . Then potential difference between the points situated at x = 10 m and x = 20 m is :-
A.
5 V
B.
10 V
C.
15 V
D.
4V
Q60 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
A circle of radius R is drawn in a uniform electric field E as shown in the fig. $V_{A}$ , $V_{B}$ , $V_{C}$ and $V_{D}$ are respectively the potentials of points A, B, C and D on the circle then :-
A.
$V_{\mathrm{A}} > V_{\mathrm{C}}, V_{\mathrm{B}} = V_{\mathrm{D}}$
B.
$V_{\mathrm{A}} < V_{\mathrm{C}}, V_{\mathrm{B}} = V_{\mathrm{D}}$
C.
$V_{\mathrm{A}} = V_{\mathrm{C}}, V_{\mathrm{B}} < V_{\mathrm{D}}$
D.
$V_{\mathrm{A}} = V_{\mathrm{C}}, V_{\mathrm{B}} > V_{\mathrm{D}}$
Q61 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
A uniform electric field pointing in positive x-direction exists in a region. Let A be the origin, B be the point on the x-axis at $x = +1$ cm and C be the point on the y-axis at $y = +1$ cm. Then the potentials at the points A, B and C satisfy :-
A.
$V_{A} < V_{B}$
B.
$V_{A} > V_{B}$
C.
$V_{A} < V_{C}$
D.
$V_{A} > V_{C}$
Q62 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
The electric potential V is given as a function of distance x (metre) by $V = (5x^{2}-10x-9)$ volts. The value of electric field at x=1 m is:-
A.
20 V/m
B.
6 V/m
C.
11 V/m
D.
zero
Q63 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
The electric potential and electric field at a point due to a point charge are 600 V and 200 N/C respectively. Then magnitude of the point charge should be :-
A.
$3\mu \mathrm{C}$
B.
$30~\mu \mathrm{C}$
C.
$0.2\mu \mathrm{C}$
D.
$0.5\mu \mathrm{C}$
Q64 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
Two concentric spheres of radii R and r have similar charges with equal surface charge densities ( $\sigma$ ). What is the electric potential at their common centre?
A.
$\sigma/\varepsilon_{0}$
B.
$\frac{\sigma}{\varepsilon_{0}}(R-r)$
C.
$\frac{\sigma}{\varepsilon_{0}}(R+r)$
D.
None of these
Q65 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
Three charges 2q, -q, -q are located at the vertices of an equilateral triangle. At the centre of the triangle :-
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
Q66 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
The electric field $\vec{E}$ is constant in both magnitude and direction. Consider a path of length d at an angle $\theta=60^{\circ}$ with respect to field lines as shown in figure. The potential difference between points 1 and 2 is :-
A.
$\frac{\mathrm{E}}{\mathrm{d}\sin 60^{\circ}}$
B.
Ed cos $60^{\circ}$
C.
$\frac{\mathrm{Ed}}{\cos 60^{\circ}}$
D.
$\frac{\mathrm{E}}{\mathrm{d}}\sin 60^{\circ}$
Q67 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
The electric potential in a certain region is expressed by $V = 6x - 8xy^{2} - 8y + 6yz - 4z^{2}$ volts. The magnitude of the force acting on a charge of 2 C situated at the origin will be:-
A.
2 N
B.
6 N
C.
8 N
D.
20 N
Q68 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
Which statement is true? (i) A ring of radius R carries a uniformly distributed charge +Q. A point charge -q is placed on the axis of the ring at a distance 2R from its centre and released. The particle executes simple harmonic motion along the axis of the ring. (ii) Electrons move from a region of higher potential to that of lower potential
A.
only (i)
B.
only (ii)
C.
(i), (ii)
D.
none of them
Q69 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
Two conducting spheres of radii $r_{1}$ and $r_{2}$ have same electric field near their surfaces. The ratio of their electric potentials is:
A.
$r_{1}^{2}/r_{2}^{2}$
B.
$r_{2}^{2}/r_{1}^{2}$
C.
$r_{1}/r_{2}$
D.
$r_{2}/r_{1}$
Q70 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
A charged hollow metal sphere has a radius r. if the potential difference between its surface and a point at distance 3r from the centre is V, the electric intensity at a distance 3r from the centre is :-
A.
$\frac{\mathrm{V}}{6\mathrm{r}}$
B.
$\frac{\mathrm{V}}{4\mathrm{r}}$
C.
$\frac{\mathrm{V}}{3\mathrm{r}}$
D.
$\frac{\mathrm{V}}{2\mathrm{r}}$
Q71 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL MCQ
The variation of potential with distance x from a fixed point is shown in figure. The electric field at x = 13 m is
A.
7.5 volt/meter
B.
ā€“7.5 volt/meter
C.
5 volt/meter
D.
ā€“5 volt/meter
Q72 Allen 5. ELECTRIC POTENTIAL, EQUIPOTENTIAL SURFACE & RELATION BETWEEN FIELD & POTENTIAL Match the Columns
gives certain situations in which electric field is represented by electric lines of forces in x-y plane. gives corresponding representation of equipotential lines in x-y plane. Match the figures in with the figures in and indicate your answer.
Column-IColumn-II
(P)
(Q)
(R)
(S)
(A)
(B)
(C)
(D)
A.
P-A, Q-B, R-C, S-D
B.
P-D, Q-C, R-B, S-A
C.
P-C, Q-D, R-B, S-A
D.
P-B, Q-A, R-C, S-D
Q73 Allen 6. ELECTRICAL POTENTIAL ENERGY MCQ
In the electric field of charge Q, another charge is carried from A to B, A to C, A to D and A to E, then work done will be:
A.
minimum along the path AB
B.
minimum along the path AD
C.
minimum along the path AE
D.
zero along each path
Q74 Allen 6. ELECTRICAL POTENTIAL ENERGY MCQ
Choose the incorrect statement :-
A.
the potential energy per unit positive charge in an electric field at some point is called the electric potential.
B.
the work required to be done to move a point charge from one point to another in an electric field depends on the position of the points
C.
the potential energy of the system will increase if a positive charge is moved against the Coulombian force
D.
the value of fundamental charge is not equivalent to the electronic charge.
Q75 Allen 6. ELECTRICAL POTENTIAL ENERGY MCQ
A charge of 10 esu is placed at a distance of 2 cm from a charge of 40 esu and 4 cm from another charge of -20 esu. The potential energy of the charge 10 esu is :- (in ergs)
A.
87.5
B.
112.5
C.
150
D.
zero