Electric Charges and Fields Questions and Answers Part-20

1. Three charges \[Q,\left(+q\right)\]    and \[\left(+q\right)\]  are placed at the vertices of an equilateral triangle of side l as shown in the figure. If the net electrostatic energy of the system is zero, then Q is equal to
191
a) \[\left(-\frac{q}{2}\right)\]
b) \[\left(-q\right)\]
c) \[\left(+q\right)\]
d) Zero

Answer: a
Explanation:
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2. A positively charged particle moving along x-axis with a certain velocity enters a uniform electric field directed along positive y-axis. Its
a) Vertical velocity changes but horizontal velocity remains constant
b) Horizontal velocity changes but vertical velocity remains constant
c) Both vertical and horizontal velocities change
d) Neither vertical nor horizontal velocity changes

Answer: a
Explanation:
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3.Electric potential at any point is \[v=-5x+3y+\sqrt{15}z\]     , then the magnitude of the electric field is
a) \[3\sqrt{2}\]
b) \[4\sqrt{2}\]
c) \[5\sqrt{2}\]
d) 7

Answer: d
Explanation:
q193

4. The work done in bringing a 20 coulomb charge from point A to point B for distance 0.2m is 2J. The potential difference between the two points will be (in volt)
a) 0.2
b) 8
c) 0.1
d) 0.4

Answer: c
Explanation:
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5. A hollow sphere of charge does not produce an electric field at any
a) Point beyond 2 metres
b) Point beyond 10 metres
c) Interior point
d) Outer point

Answer: c
Explanation: Inside the hollow charged spherical conductor electric field is zero.

6. If \[4\times10^{20}eV\]    energy is required to move a charge of 0.25 coulomb between two points. Then what will be the potential difference between them
a) 178 V
b) 256 V
c) 356 V
d) None of these

Answer: b
Explanation:
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7.A drop of \[10^{-6}kg\]   water carries \[10^{-6}C\]   charge. What electric field should be applied to balance its weight (assume g = 10 m/s2)
a) 10 V/m upward
b) 10 V/m downward
c) 0.1 V/m downward
d) 0.1 V/m upward

Answer: a
Explanation:
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8. A charged particle of mass 0.003 gm is held stationary in space by placing it in a downward direction of electric field of \[6 \times 10^{4}N/C\]    . Then the magnitude of the charge is
a) \[5\times10^{-4}C\]
b) \[5\times10^{-10}C\]
c) \[-18\times10^{-6}C\]
d) \[-5\times10^{-9}C\]

Answer: b
Explanation: By using QE = mg
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9.Two point charges \[+9e\]  and \[+e\]  are at 16 cm away from each other. Where should another charge q be placed between them so that the system remains in equilibrium
a) 24 cm from\[+9e\]
b) 12 cm from \[+9e\]
c) 24 cm from \[+e\]
d) 12 cm from \[+e\]

Answer: b
Explanation:
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10. If 3 charges are placed at the vertices of equilateral triangle of charge ‘q’ each. What is the net potential energy, if the side of equilateral \[\triangle\] is l cm
a) \[\frac{1}{4\pi\epsilon_{0}}\frac{q^{2}}{l}\]
b) \[\frac{1}{4\pi\epsilon_{0}}\frac{2q^{2}}{l}\]
c) \[\frac{1}{4\pi\epsilon_{0}}\frac{3q^{2}}{l}\]
d) \[\frac{1}{4\pi\epsilon_{0}}\frac{4q^{2}}{l}\]

Answer: c
Explanation:
q200