A charge \(q_1=5 \times 10^{-8} \mathrm{~C}\) is kept at 3 cm from a charge \(q_2=-2 \times 10^{-8} \mathrm{~C}\). The potential energy of the system relative to the potential energy at infinite separation is:

1. 3 x 10-4 J

2. –3 x 10-4 J

3. 9 x 10-6 J

4. –9 x 10-6 J

Subtopic:  Electric Potential Energy |
 73%
From NCERT
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The electric potential difference between two parallel plates is \(2000 ~\mathrm V\). If the plates are separated by \(2~ \mathrm {mm}\), what is the magnitude of the electrostatic force on a charge of \(4 \times 10^{-6}~ \mathrm C\) located midway between the plates?

1. \(4~\mathrm N\) 2. \(6~\mathrm N\)
3. \(8~\mathrm N\) 4. \(1.5 \times 10^{-6}~ \mathrm N\)
Subtopic:  Capacitance |
 70%
From NCERT
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Two condensers of capacity 0.3 μF and 0.6 μF are connected in series. The combination is connected across a potential of 6 V. The ratio of energies stored by the condensers will be:

1. 12

2. 2

3. 14

4. 4

Subtopic:  Energy stored in Capacitor |
 66%
From NCERT
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A parallel plate air capacitor is charged to potential difference V. After disconnecting the battery, the distance between the plates of the capacitor is increased using an insulating handle. As a result the potential difference between the plates:

1. decreases.

2. increases.

3. becomes zero.

4. does not change.

Subtopic:  Capacitance |
 66%
From NCERT
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A circuit has section AB as shown in figure. The emf of the cell is 10 V. The potential difference VAB= 5 V. The charge on the capacitor C1 is:

1. 10 μC 2. μC
3. 15 μC 4. Can't be determine
Subtopic:  Combination of Capacitors |
 55%
From NCERT
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The electric potential in a certain region of space is given by V = –8x2 + 4x, where V is in volt and x is in metre. In this region, the equipotential surface is:

1.  plane parallel to yz plane
2.  plane parallel to the x-axis
3.  concentric circle centered at the origin
4. coaxial cylinder with axis parallel to the y-axis

Subtopic:  Equipotential Surfaces |
 63%
From NCERT
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Some equipotential surfaces are shown in figure. The electric field at points A, B and C are respectively:

1. \(1 \mathrm{~V} / \mathrm{cm}, \frac{1}{2} \mathrm{~V} / \mathrm{cm}, 2 \mathrm{~V} / \mathrm{cm} \text { (all along +ve X-axis) }\)
2. \(1 \mathrm{~V} / \mathrm{cm}, \frac{1}{2} \mathrm{~V} / \mathrm{cm}, 2 \mathrm{~V} / \mathrm{cm} \text { (all along -ve X-axis) }\)
3. \(\frac{1}{2} \mathrm{~V} / \mathrm{cm}, 1 \mathrm{~V} / \mathrm{cm}, 2 \mathrm{~V} / \mathrm{cm} \text { (all along +ve X-axis) }\)
4. \(\frac{1}{2} \mathrm{~V} / \mathrm{cm}, 1 \mathrm{~V} / \mathrm{cm}, 2 \mathrm{~V} / \mathrm{cm} \text { (all along -ve X-axis) }\)

Subtopic:  Equipotential Surfaces |
 69%
From NCERT
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In a certain region of space with volume \(0.2\) m3, the electric potential is found to be \(5\) V throughout. The magnitude of electric field in this region is:
1. \(0.5\) N/C
2. \(1\) N/C
3. \(5\) N/C
4. zero

Subtopic:  Relation between Field & Potential |
 74%
From NCERT
NEET - 2020
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A short electric dipole has a dipole moment of  \(16 \times 10^{-9} ~\text{C-}\text{m}\). The electric potential due to the dipole at a point at a distance of \(0.6~\text{m}\) from the centre of the dipole situated on a line making an angle of \(60^{\circ}\) with the dipole axis is: \(\left( \frac{1}{4\pi \varepsilon_0}= 9\times 10^{9}~\text{N-m}^2/\text{C}^2\right)\)
1. \(200~\text{V}\)
2. \(400~\text{V}\)
3. zero
4. \(50~\text{V}\)

Subtopic:  Energy of Dipole in an External Field |
 66%
From NCERT
NEET - 2020
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The capacitance of a parallel plate capacitor with air as a medium is \(6~\mu\text{F}\). With the introduction of a dielectric medium, the capacitance becomes \(30~\mu\text{F}\). The permittivity of the medium is:\(\left(\varepsilon_0=8.85 \times 10^{-12} ~\text{C}^2 \text{N}^{-1} \text{m}^{-2}\right )\)

1. \(1.77 \times 10^{-12}~ \text{C}^2 \text{N}^{-1} \text{m}^{-2}\)
2. \(0.44 \times 10^{-10} ~\text{C}^2 \text{N}^{-1} \text{m}^{-2}\)
3. \(5.00 ~\text{C}^2 \text{N}^{-1} \text{m}^{-2}\)
4. \(0.44 \times 10^{-13} ~\text{C}^2 \text{N}^{-1} \text{m}^{-2}\)

Subtopic:  Dielectrics in Capacitors |
 61%
From NCERT
NEET - 2020
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