Two metal spheres, one of radius \(R\) and the other of radius \(2R\) respectively have the same surface charge density \(\sigma.\) They are brought in contact and separated.  What will be the new surface charge densities on them?
1. \(\sigma_{1}=\frac{5}{6}\sigma ,~\sigma_{2}=\frac{5}{6}\sigma\)
2. \(\sigma_{1}=\frac{5}{2}\sigma ,~\sigma_{2}=\frac{5}{6}\sigma\)
3. \(\sigma_{1}=\frac{5}{2}\sigma ,~\sigma_{2}=\frac{5}{3}\sigma\)
4. \(\sigma_{1}=\frac{5}{3}\sigma ,~\sigma_{2}=\frac{5}{6}\sigma\)

Subtopic:  Electric Potential |
 55%
From NCERT
NEET - 2019
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Two identical capacitors \(C_{1}\) and \(C_{2}\) of equal capacitance are connected as shown in the circuit. Terminals \(a\) and \(b\) of the key \(k\) are connected to charge capacitor \(C_{1}\) using a battery of emf \(V\) volt. Now disconnecting \(a\) and \(b\) terminals, terminals \(b\) and \(c\) are connected. Due to this, what will be the percentage loss of energy?
     
1. \(75\%\)
2. \(0\%\)
3. \(50\%\)
4. \(25\%\)

Subtopic:  Energy stored in Capacitor |
 63%
From NCERT
NEET - 2019
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The electric potential \(V\) is given as a function of \(x\) (in metre) as \(V=(x^2-6x+5)\) volt. The electric field is zero at:
1. \(x=1~\mathrm{m}\)
2. \(x=2~\mathrm{m}\)
3. \(x=3~\mathrm{m}\)
4. \(x=6~\mathrm{m}\) 

Subtopic:  Relation between Field & Potential |
 87%
From NCERT
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If n identical drops, each of capacitance C, coalesce to form a single big drop, the capacitance of the big drop will be

1. n3C

2. nC 

3. n1/2C

4. n1/3C

Subtopic:  Capacitance |
 83%
From NCERT
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An electric field is given by \(\vec E=(\hat i+2\hat j+\hat k)\) N/C. The work done in moving a \(1\) C charge from \(\vec {r_A}=(2\hat i+2\hat j)\) m to \(\vec {r_B}=(4\hat i+\hat j)\) m is:
1. \(8\) J
2. \(4\) J
3. \(-4\) J
4. zero

Subtopic:  Relation between Field & Potential |
 81%
From NCERT
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Which of the following is incorrect about the electrostatic field lines?

1.  These can be never be closed curves

2.  On a conducting surface, the lines are perpendicular

3.  They can pass through a conductor

4.  If the lines are equispaced and parallel to one another, then the field is uniform

 

Subtopic:  Electrostatic Shielding |
 77%
From NCERT
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The conducting shells A and B are arranged as shown below. If the charge on the shell B is q then electric flux linked with the spherical Gaussian surface S is

1.  qε0

2.  -q2ε0

3.  -qε0

4.  q2ε0

Subtopic:  Electric Potential |
 50%
From NCERT
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A particle of mass 2 g and charge 1 μC is held at a distance of 1 m from a fixed charge of 1 mC. If the particle is released then its speed, when it is at a distance of 10 m from the fixed charge, is

1.  55 m/s

2.  100 m/s

3.  45 m/s

4.  90 m/s

Subtopic:  Electric Potential |
 63%
From NCERT
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The insulation property of air breaks down at E = 3 × 106 V/m. The maximum charge that can be given to a sphere of diameter 5 m is approximately:

1.  2 ×10-5 C

2.  2 ×10-4 C

3.  2 ×10-3 C

4.  3 ×10-C 

Subtopic:  Dielectrics in Capacitors |
 65%
From NCERT
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Given below are two statements: 

Statement I: A sensitive electric equipment can be saved from the electric field by enclosing it inside a metallic shell.
Statement II: Electric field inside a metallic shell is zero provided that the shell does not enclose any charge.
 
1. Statement I is false but Statement II is true.
2. Both Statement I and Statement II are true.
3. Both Statement I and Statement II are false.
4. Statement I is true but Statement II is false.

 
Subtopic:  Electrostatic Shielding |
From NCERT
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