Two point charges \(q_A = 3~\mu\text{C}\) and \(q_B = -3~\mu\text{C}\) are located \(20\) cm apart in a vacuum. The electric field at the midpoint \(O\) of the line \(AB\) joining the two charges is:
1. \(4.5\times10^{6}~\text{N/C along}~OA\)
2. \(5.4\times10^{6}~\text{N/C along}~OA\)
3. \(4.5\times10^{6}~\text{N/C along}~OB\)
4. \(5.4\times10^{6}~\text{N/C along}~OB\)

Subtopic:  Electric Field |
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Which of the following statements about electric field lines (due to static charges) is incorrect?

1. electric field lines never cross each other at any point.
2. electric field lines do not form any closed loop.
3. electric field lines can not be taken as continuous curves.
4. electric field lines start from a positive charge and end on a negative charge.

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The figure below shows tracks of three charged particles in a uniform electrostatic field. Which particle has the highest charge to the mass ratio?

1. \(2\) 2. \(3\)
3. \(1\) 4. \(1\) and \(3\)
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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
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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

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An oil drop of \(12\) excess electrons is held stationary under a constant electric field of \(2.55\times10^{4}\text{ N/C}.\) The density of the oil is \(1.26\text{ g/cm}^3.\) The radius of the drop is:
1. \(9.82\times10^{-4}\text{ mm}\)
2. \(9.82\times10^{-7}\text{ mm}\)
3. \(8.92\times10^{-4}\text{ mm}\)
4. \(8.92\times10^{-7}\text{ mm}\)

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Which among the curves shown in the figure represents electrostatic field lines?

1. 2.
3. 4.
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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:
          
              
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. \(\frac{q E L^2}{2 m\left(v_x\right)^2}\)

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A spherical conductor of radius \(12~\text{cm}\) has a charge of \(1.6\times10^{-7}~\text{C}\) distributed uniformly on its surface. The electric field just outside the sphere is:

1. \(\text{zero}\) 2. \(10^5~ \text{NC}^{-1} \)
3. \(10^{-5}~ \text{NC}^{-1} \) 4. \(10^{6 }~ \text{NC}^{-1} \)
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