Potential and Potential Energy Relation

Q. Four charges are placed on the vertices of a square as shown in figure. The net electric potential at centre of the square is

1. $10\text{V}$
2. $15\text{V}$
3. $29\text{V}$
4. $\text{Zero}$

Q. If v=2/x^3(where v=Gravitational potential). Find E at x=6.(where E=Gravitational field). (a) 1/36 (2) -1/64 (3) -1/216 (4) 1/216

Q. when a coil spring is compressed, the work is done on the spring. The elastic potential energy

Q. This section contains 1 Assertion-Reason type question, which has 4 choices (a), (b), (c) and (d) out of which ONLY ONE is correct.
इस खण्ड में 1 कथन-कारण प्रकार का प्रश्न है, जिसमें 4 विकल्प (a), (b), (c) तथा (d) दिये गये हैं, जिनमें से केवल एक सही है।

A : Charge on an isolated system always remain conserved.
A : एक विलगित निकाय पर आवेश सदैव संरक्षित रहता है।

R : A body can never be charged by friction.
R : एक पिण्ड को कभी भी घर्षण द्वारा आवेशित नहीं किया जा सकता है।

1. Both (A) and (R) are true and (R) is the correct explanation of (A)
   
   (A) तथा (R) दोनों सही हैं तथा (R), (A) का सही स्पष्टीकरण है
2. Both (A) and (R) are true but (R) is not the correct explanation of (A)
   
   (A) तथा (R) दोनों सही हैं लेकिन (R), (A) का सही स्पष्टीकरण नहीं है
3. (A) is true but (R) is false
   
   (A) सही है लेकिन (R) गलत है
4. (A) is false but (R) is true
   
   (A) गलत है लेकिन (R) सही है

Q. This section contains 1 Assertion-Reason type question, which has 4 choices (a), (b), (c) and (d) out of which ONLY ONE is correct.

इस खण्ड में 1 कथन-कारण प्रकार का प्रश्न है, जिसमें 4 विकल्प (a), (b), (c) तथा (d) दिये गये हैं, जिनमें से केवल एक सही है।

A : Electrostatic electric field lines never intersect with each other.

स्थिरवैद्युत विद्युत क्षेत्र रेखाऐं कभी भी एक-दूसरे को प्रतिच्छेदित नहीं करती हैं।

R : Electrostatic electric field lines always exist in closed loops.

स्थिरवैद्युत विद्युत क्षेत्र रेखाऐं सदैव बन्द लूपों में उपस्थित होती हैं।

1. Both (A) and (R) are true and (R) is the correct explanation of (A)
   
   (A) तथा (R) दोनों सही हैं तथा (R), (A) का सही स्पष्टीकरण है
2. Both (A) and (R) are true but (R) is not the correct explanation of (A)
   
   (A) तथा (R) दोनों सही हैं लेकिन (R), (A) का सही स्पष्टीकरण नहीं है
3. (A) is true but (R) is false
   
   (A) सही है लेकिन (R) गलत है
4. (A) is false but (R) is true
   
   (A) गलत है लेकिन (R) सही है

Q. A charge $Q$ is placed in front of a conducting sphere at a distance $2r$ from center of sphere as shown in the figure. Potential at point $P$ on the surface of sphere due to induced charges is

1. $\frac{kQ}{6r}$
2. $\frac{kQ}{2r}$
3. $\frac{kQ}{3r}$
4. \N

Q.

Work done by electrostatic force of a system of fixed charges on a 10 C charge in bringing it from some reference point to a point A is 100 J. Does this imply that the potential at A is 10 V?

1. Yes

2. No
3. Potential will have any random value.
4. Can't comment

Q. A particle has a mass 400 times that of the electron and charge is double that of an electron. It is accelerated by 5V of potential difference. Initially the particle was at rest, then its final kinetic energy will be

1. 5 eV
2. 10 eV
3. 100 eV
4. 2000 ev

Q. the electric potential difference between two parallel plates is 2000volts.if the plates are separated by 2mm, what is the magnitude of electrostatic force on a charge of 4*10^-6c located midway between the plates?

Q. Q. A point charge 50 $\mu$C is located in xy plane at the point of position vector $\overrightarrow{r_o}$ = 2​î + 3 ĵ. What is the electric field at the point of position vector $\overrightarrow{r_{}}$ = 8 î - 5 ĵ (in meter )
(1) 1200 V/ M (2) .04 V/M (3) 900 V/M (4) 4500 V/M

Q. On moving a charge of 20 coulomb by 2 cm, 2J of work is done, then the potential difference between the points is:
[AIEEE - 2002]

1. 0.1 V
2. 8 V
3. 2 V
4. 0.5 V