The equivalent capacitance of the system shown in the following circuit is:

   
1. \(9~{\mu \text{F}}\) 2. \(2~{\mu \text{F}}\)
3. \(3~{\mu \text{F}}\) 4. \(6~{\mu \text{F}}\)
Subtopic:  Combination of Capacitors |
 76%
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NEET - 2023
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An electric dipole is placed as shown in the figure.
        
The electric potential (in \(10^2~\text{V}\)) at the point \(P\) due to the dipole is: (\(\epsilon_0\)= permittivity of free space and \(\frac{1}{4 \pi \epsilon_0}=k\))
1. \(\left(\frac{8}{3}\right)qk\)
2. \(\left(\frac{3}{8}\right)qk\)
3. \(\left(\frac{5}{8}\right)qk\)
4. \(\left(\frac{8}{5}\right)qk\)
Subtopic:  Energy of Dipole in an External Field |
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NEET - 2023
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The equivalent capacitance of the arrangement shown in the figure is:
             
1. \(30~\mu \text{F}\) 2. \(15~\mu \text{F}\)
3. \(25~\mu\text{F}\) 4. \(20~\mu\text{F}\)
Subtopic:  Combination of Capacitors |
 68%
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NEET - 2023
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If a conducting sphere of radius \(R\) is charged. Then the electric field at a distance r(r > R) from the centre of the sphere would be, (\(V\)=potential on the surface of the sphere):
1. \(\frac{rV}{R^2}\) 2. \(\frac{R^2V}{r^3}\)
3. \(\frac{RV}{r^2}\) 4. \(\frac{V}{r}\)
Subtopic:  Electric Potential |
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NEET - 2023
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Two hollow conducting spheres of radii \(R_1\) and \(R_2\) \(\left ( R_1\gg R_2 \right )\) have equal charges. The potential would be:
 
1. dependent on the material property of the sphere
2. more on bigger sphere
3. more on smaller sphere
4. equal on both the spheres
Subtopic:  Electric Potential |
 70%
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NEET - 2022
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The angle between the electric lines of force and the equipotential surface is: 
1. \(180^\circ\) 2. \(0^\circ\)
3. \(45^\circ\) 4. \(90^\circ\)
Subtopic:  Equipotential Surfaces |
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A capacitor of capacitance \(C=900~\text{pF}\) is charged fully by \(100~\text{V}\) battery \(B\) as shown in Figure \((a)\). Then it is disconnected from the battery and connected to another uncharged capacitor of capacitance \(C=900~\text{pF}\) as shown in Figure \((b)\). The electrostatic energy stored by the system \((b)\) is:
       
1. \(1.5\times 10^{-6}~\text{J}\) 2. \(4.5\times 10^{-6}~\text{J}\)
3. \(3.25\times 10^{-6}~\text{J}\) 4. \(2.25\times 10^{-6}~\text{J}\)
Subtopic:  Energy stored in Capacitor |
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A hollow metal sphere of radius \(R\) is given \(+Q\) charges to its outer surface. The electric potential at a distance \(\frac{R}{3}\) from the centre of the sphere will be:

1. \(\frac{1}{4\pi \varepsilon_0}\frac{Q}{9R}\) 2. \(\frac{3}{4\pi \varepsilon_0}\frac{Q}{R}\)
3. \(\frac{1}{4\pi \varepsilon_0}\frac{Q}{3R}\) 4. \(\frac{1}{4\pi \varepsilon_0}\frac{Q}{R}\)
Subtopic:  Electric Potential |
 62%
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Three capacitors, each of capacitance \(0.3~\mu \text{F}\) are connected in parallel. This combination is connected with another capacitor of capacitance \(0.1~\mu \text{F}\) in series. Then the equivalent capacitance of the combination is:

1. \(0.9~\mu\text{F}\) 2. \(0.09~\mu\text{F}\)
3. \(0.1~\mu\text{F}\) 4. \(0.01~\mu\text{F}\)
Subtopic:  Combination of Capacitors |
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When a particle with charge \(+q\) is thrown with an initial velocity \(v\) towards another stationary change \(+Q,\) it is repelled back after reaching the nearest distance \(r\) from \(+Q.\) The closest distance that it can reach if it is thrown with initial velocity \(2v,\) is:

1. \(\frac{r}{4}\) 2. \(\frac{r}{2}\)
3. \(\frac{r}{16}\) 4. \(\frac{r}{8}\)
Subtopic:  Electric Potential Energy |
 66%
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