Assertion: Radio transmitters do not work satisfactorily when used inside a railway carriage.
Reason: Railway carriage is made of iron which acts as Faraday cages.

1. Both assertion & reason are true and the reason is the correct explanation of the assertion.
2. Both assertion & reason are true but the reason is not the correct explanation of the assertion.
3. Assertion is a true statement but the reason is false.
4. Both assertion and reason are false statements.

Subtopic:  Electrostatic Shielding |
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Figure shows charge (q) versus voltage (V) graph for series and parallel combination of two given capacitors. The capacitances are:

1. 50 $$\mu F$$ and 30 $$\mu F$$
2. 20 $$\mu F$$ and 30 $$\mu F$$
3. 60 $$\mu F$$ and 40 $$\mu F$$
4. 40 $$\mu F$$ and 10 $$\mu F$$
Subtopic:  Capacitance |
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As per figure a point charge +q is placed at the origin O. Work done in taking another point charge -Q from the point A(0, a) to another point B(a, 0) along the straight path AB is:

1. $$\Big(\frac{-qQ}{4\pi\varepsilon_0}\frac{1}{a}\Big)\sqrt2$$

2. $$\Big(\frac{qQ}{4\pi\varepsilon_0}\frac{1}{a}\Big)\sqrt2$$

3. $$\Big(\frac{qQ}{4\pi\varepsilon_0}\frac{1}{a}\Big)\frac{1}{\sqrt2}$$

4. Zero
Subtopic:  Electric Potential Energy |
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Equipotential surfaces:
1. are closer in regions of large electric fields compared to regions of lower electric fields.
2. will be more crowded near the sharp edges of a conductor.
3. will always be equally spaced.
4. both (1) and (2) are correct.

Subtopic:  Equipotential Surfaces |
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The potential on the surface of a spherical region varies from $$2$$ V to $$4$$ V from point to point. There are no charges in the interior of the region.
Assertion (A): The potential at the centre cannot be $$0$$ V.
Reason (R): Potential in the interior of a sphere must always be greater than the potential on the surface.

1.  (A) is true but (R) is false.
2.  (A) is false but (R) is true.
3.  Both (A) and (R) are true and (R) is the correct explanation of (A).
4.  Both (A) and (R) are true but (R) is not the correct explanation of (A).
Subtopic:  Electric Potential |
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Consider a spherical conductor of radius r, centred at the point O. A point charge q (q > 0) is placed outside the sphere, at a distance 'd' from its center (O) (d > r) and the sphere is earthed.

Assertion: The electric flux due to the external charge q and the induced charges on the sphere through the spherical surface S shown dotted in the diagram, is (-q/$$\varepsilon_0$$).

Reason: Negative charges are induced on the surface of the conducting sphere due to the positive charge q in the vicinity, and the potential of the conducting sphere is zero.

1. Both assertion and reason are true, and the reason is the correct explanation of the assertion.
2. Both assertion and reason are true, but the reason is not the correct explanation of the assertion.
3. Assertion is true but the reason is false.
4. Assertion is false but the reason is true.
Subtopic:  Capacitance |
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A parallel plate capacitor (C) is charged by connecting it to a battery (emf E). A dielectric slab is inserted into the space between the plates.

 (I) The charge on the plates increases. (II) The energy stored in the capacitor increases. (III) Work is done by the battery as the slab is inserted.

1. I, II are true
2. I, and III are true
3. Only I is true
4. I, II, and III are true
Subtopic:  Capacitance |
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A dielectric slab is inserted between the plates of an isolated charged capacitor. Which of the following remains unchanged?

 (I). The charge on the plates (II). The potential difference between the plates (III). The energy stored in the capacitor

 1 I only 2 I, II 3 I, III 4 I, II, III
Subtopic:  Dielectrics in Capacitors |
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A thin conducting spherical shell of radius R has a charge Q which is uniformly distributed on its surface. The correct plot for electrostatic potential due to this spherical shell is:

 1 2 3 4
Subtopic:  Electric Potential |
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Assertion: An isolated system consists of two particles of equal masses m=10 gm and charges  ${\mathrm{q}}_{1}=+1µ\mathrm{C}$ and  as shown in the figure. The initial separation of both charges is $\mathcal{l}$= 1m. Both the charges are given initial velocities  and  towards the right. The maximum separation between the charges is infinite.

Reason: The total energy (Kinetic energy + electrostatic potential energy) of given two-particle system is positive and the initial velocity of separation is positive.
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. (A) is false and (R) is also false.

1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
3. If the assertion is true but the reason is false
4. If both the assertion and reason are false
Subtopic:  Electric Potential Energy |
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