Two metallic spheres of radii \(1\) cm and \(3\) cm are given charges of \(-1\times 10^{-2}~\text{C}\) and \(5\times 10^{-2}~\text{C},\) respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is:
1. \(2\times 10^{-2}~\text{C}\)
2. \(3\times 10^{-2}~\text{C}\)
3. \(4\times 10^{-2}~\text{C}\)
4. \(1\times 10^{-2}~\text{C}\)

Subtopic:  Electric Potential |
 69%
From NCERT
NEET - 2012
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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 \(A(\text{m}^2)\), the energy (joule) stored in the condenser is:

1. \(\dfrac{1}{2}\varepsilon_0 E^2\) 2. \(\varepsilon_0 EAd\)
3. \(\dfrac{1}{2}\varepsilon_0 E^2Ad\) 4. \(\dfrac{E^2Ad}{\varepsilon_0}\)
Subtopic:  Energy stored in Capacitor |
 81%
From NCERT
NEET - 2021
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Four electric charges +q, + q, -q and -q are placed at the corners of a square of side 2L (see figure). The electric potential at point A, mid-way between the two charges +q and +q, is

                                            

(1)  14πε02qL1+15

(2)    14πε02qL1-15

(3)    Zero

(4)  14πε02qL1+5

Subtopic:  Electric Potential |
 72%
From NCERT
NEET - 2011
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Three charges, each +q, are placed at the corners of an isosceles triangle ABC of sides BC and AC equal to 2a. D and E are the mid points of BC and CA. The work done in taking a charge Q from D to E is 

(1)eqQ8πε0α                                                 

(2)qQ4πε0α

(3)zero                                                     

(4)3qQ4πε0α

Subtopic:  Electric Potential Energy |
 81%
From NCERT
NEET - 2011
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A series combination of \(n_1\) capacitors, each of value \(C_1\), is charged by a source of potential difference \(4\) V. 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:
1. \(\frac{2C_1}{n_1n_2}\)
2. \(16\frac{n_2}{n_1}C_1\)
3. \(2\frac{n_2}{n_1}C_1\)
4. \(\frac{16C_1}{n_1n_2}\)

Subtopic:  Energy stored in Capacitor |
 72%
From NCERT
NEET - 2010
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Three concentric spherical shells have radii a, b and c (a<b<c) and have surface charge densities σ, -σ and σ respectively. If VA, VB and VC denote the potential of the three shells, if c=a+b, we have

(1) VC=VAVB                                       

(2) VC=VBVA

(3) VCVBVA                                       

(4) VC=VB=VA

Subtopic:  Electric Potential |
From NCERT
NEET - 2009
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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

(1) C3,V3

(2) 3C,V3

(3) C3,3V

(4) 3C,3V

Subtopic:  Combination of Capacitors |
 77%
From NCERT
NEET - 2009
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The electric potential at a point (x,y,z) is given by 

            V=-x2y-xz3+4

The electric field E at that point is 

(a) E=i^2 xy+z3+j^x2+k^3xz2

(b) E=i^2xy+j^x2+y2+k^3xz-y2

(c) E=i^z3+j^xyz+k^z2

(d) E=i^2xy-z3+j^xy2+k^3z2x

Subtopic:  Relation between Field & Potential |
 78%
NEET - 2009
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The mean free path of electrons in a metal is 4×10-8m.The electric field which can give on an average 2 eV energy to an electron in the metal will be in a unit of Vm-1 :

(1) 8×107                             

(2) 5×10-11

(3) 8×10-11                         

(4) 5×107

Subtopic:  Relation between Field & Potential |
From NCERT
NEET - 2009
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Two dielectric slabs of constant \(K_1\) and \(K_2\) have been filled in between the plates of a capacitor as shown below. What will be the capacitance of the capacitor? 


1. \(\frac{2\varepsilon_0A}{2}\left(K_1+K_2\right)\)
2. \(\frac{2\varepsilon_0A}{2}\frac{\left(K_1+K_2\right)}{K_1\times K_2}\)
3. \(\frac{2\varepsilon_0A}{d}\left(\frac{K_1+K_2}{K_1-K_2}\right)\)
4. \(\frac{2\varepsilon_0A}{d}\left(\frac{K_1\times K_2}{K_1+K_2}\right)\)

Subtopic:  Dielectrics in Capacitors |
 76%
From NCERT
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