A point charge causes an electric flux of \(-1.0\times 10^{3}~\text{Nm}^2/\text{C}\) to pass through a spherical Gaussian surface of \(10.0~\text{cm}\) radius centered on the charge. If the radius of the Gaussian surface were doubled, how much flux would pass through the surface?
1. \(- 2.0×10^{3}~\text{Nm}^2/\text{C}\)
2. \(- 1.0 ×10^{3}~\text{Nm}^2/\text{C}\)
3. \(2.0 ×10^{3}~\text{Nm}^2/\text{C}\)
4. Zero

Subtopic:  Gauss's Law |
 79%
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A conducting sphere of radius \(10\) cm has an unknown charge. If the electric field, \(20\) cm from the centre of the sphere is \(1.5\times10^3\) N/C and points radially inward, what is the net charge on the sphere?

1. \(-5.70\) nC 2. \(-6.67\) nC
3. \(6.67\) nC 4. \(5.70\) nC
Subtopic:  Electric Field |
 73%
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A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density of 80.0 μC/m2. The charge on the sphere is:

1. 2 .077 × 10-3 C
2. 2. 453 × 10-3C
3. 1. 447 × 10-3C
4. 3. 461 × 10-3C

 

Subtopic:  Gauss's Law |
 67%
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An infinite line charge produces a field of \(9\times10^{4}~\text{N/C}\) at a distance of \(2~\text{cm}\). The linear charge density is:
1. \(0.1~\mu\text{C/m}\)
2. \(100~\mu\text{C/m}\)
3. \(1.0~\mu\text{C/m}\)
4. \(10~\mu\text{C/m}\)

Subtopic:  Gauss's Law |
 67%
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Two large, thin metal plates are parallel and close to each other. On their inner faces, the plates have surface charge densities of opposite signs and of magnitude 17.0 x 10-22 C/m2. The electric field between the plates is: 

1. 0.96 × 10-10   N/C
2. 1.92 × 10- 10   N/C
3. 0
4. 3.84 × 10-10   N/C

Subtopic:  Electric Field |
 59%
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An oil drop of 12 excess electrons is held stationary under a constant electric field of 2.55×10-4 N C-1. The density of the oil is 1.26 g cm-3. The radius of the drop is:

1. \(9.82\times10^{-4}\) mm
2. \(9.82\times10^{-7}\) mm
3. \(8.92\times10^{-4}\) mm
4. \(8.92\times10^{-7}\) mm

 

Subtopic:  Electric Field |
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Which among the curves shown in the figure represents electrostatic field lines?

1. 2.
3. 4.
Subtopic:  Electric Field |
 93%
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In a certain region of space, the electric field is along the \(z\text-\)direction throughout. The magnitude of the electric field is, however, not constant but increases uniformly along the positive \(z\text-\)direction, at the rate of \(10^{5}\) NC–1 per meter. What is the torque experienced by a system having a total dipole moment equal to \(10^{-7}~\text{C-m}\) in the negative \(z\text{-}\)direction? 
1. \(10^{-2}~\text{N-m}\) 2. \(0\)
3. \(10^{-1}~\text{N-m}\) 4. \(0.01~\text{N-m}\)
Subtopic:  Electric Dipole |
 69%
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A hollow charged conductor has a tiny hole cut into its surface. The electric field in the hole is:
1. \(\left(\frac{3 \sigma}{\varepsilon_0}\right) \widehat{n}\)
2. \(\left(\frac{2 \sigma}{\varepsilon_0}\right) \widehat{n}\)
3. \(\left(\frac{\sigma}{2 \varepsilon_0}\right) \widehat{n}\)
4. \(\left(\frac{\sigma}{\varepsilon_0}\right) \widehat{n}\)

Subtopic:  Gauss's Law |
 56%
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A particle of mass m and charge (–q) enters the region between the two charged plates initially moving along the x-axis with speed vx (as shown in the figure). The length of the plate is and a uniform electric field E is maintained between the plates. The vertical deflection of the particle at the far edge of the plate is:

              
The particle is moving along x-axis in a uniformly charged electric f
1. \(\frac{2 q E L^2}{3 m\left(v_x\right)^2}\)
2. \(\frac{2 q E L^2}{m\left(v_x\right)^2}\)
3. \(\frac{3 q E L^2}{2 m\left(v_x\right)^2}\)
4. \(\frac{q E L^2}{2 m\left(v_x\right)^2}\)

Subtopic:  Electric Field |
 60%
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