Electric Charges and Fields Questions and Answers Part-13

1. In the figure the charge Q is at the centre of the circle. Work done is maximum when another charge is taken from point P to
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a) K
b) L
c) M
d) N

Answer: a
Explanation: Work done in moving a charge from P to L, P to M and P to N is zero.

2. A mass \[m=20g\]   has a charge \[q=3.0mC\]   . It moves with a velocity of 20 m / s and enters a region of electric field of \[80 N/ C\]   in the same direction as the velocity of the mass. The velocity of the mass after 3 seconds in this region is
a) 80 m/ s
b) 56 m/ s
c) 44 m/ s
d) 40 m/ s

Answer: b
Explanation:
q122

3.Four identical charges \[+50 \mu C\]   each are placed, one at each corner of a square of side 2 m . How much external energy is required to bring another charge of \[+50 \mu C\]   from infinity to the centre of the square (Given \[\frac{1}{4\pi\epsilon_{0}}=9\times10^{9}\frac{Nm^{2}}{C^{2}})\]
a) 64 J
b) 41 J
c) 16 J
d) 10 J

Answer: a
Explanation:
q123

4. In Millikan's oil drop experiment an oil drop carrying a charge Q is held stationary by a potential difference 2400 V between the plates. To keep a drop of half the radius stationary the potential difference had to be made 600 V . What is the charge on the second drop
a) \[\frac{Q}{4}\]
b) \[\frac{Q}{2}\]
c) Q
d) \[\frac{3Q}{2}\]

Answer: b
Explanation:
q124

5.A charge of 5 C experiences a force of 5000 N when it is kept in a uniform electric field. What is the potential difference between two points separated by a distance of 1 cm
a) 10 V
b) 250 V
c) 1000 V
d) 2500 V

Answer: a
Explanation:
q125

6. Two insulated charged conducting spheres of radii 20 cm and 15 cm respectively and having an equal charge of 10 C are connected by a copper wire and then they are separated. Then
a) Both the spheres will have the same charge of 10 C
b) Surface charge density on the 20 cm sphere will be greater than that on the 15 cm sphere
c) Surface charge density on the 15 cm sphere will be greater than that on the 20 cm sphere
d) Surface charge density on the two spheres will be equal

Answer: c
Explanation:
q126

7. Equal charges q are placed at the vertices A and B of an equilateral triangle ABC of side a . The magnitude of electric field at the point C is
a) \[\frac{q}{4\pi\epsilon_{0}a^{2}}\]
b) \[\frac{\sqrt{2 }q}{4\pi\epsilon_{0}a^{2}}\]
c) \[\frac{\sqrt{3 }q}{4\pi\epsilon_{0}a^{2}}\]
d) \[\frac{q}{2\pi\epsilon_{0}a^{2}}\]

Answer: c
Explanation:
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8. Two equal charges q are placed at a distance of 2a and a third charge -2q is placed at the midpoint. The potential energy of the system is
a) \[\frac{q^{2}}{8\pi\epsilon_{0}a}\]
b) \[\frac{6q^{2}}{8\pi\epsilon_{0}a}\]
c) \[-\frac{7q^{2}}{8\pi\epsilon_{0}a}\]
d) \[\frac{9q^{2}}{8\pi\epsilon_{0}a}\]

Answer: c
Explanation:
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9.Two point charges \[100\mu C\]   and \[5\mu C\]  are placed at points A and B respectively with \[AB=40cm\]   . The work done by external force in displacing the charge \[5\mu C\]  from B to C , where \[BC=30cm\]   , angle \[ABC=\frac{\pi}{2}\]    and \[\frac{1}{4\pi\epsilon_{0}}=9\times10^{9}Nm^{2}/C^{2}\]
a) 9 J
b) \[\frac{81}{20}J\]
c) \[\frac{9}{25}J\]
d) \[-\frac{9}{4}J\]

Answer: d
Explanation:
q129
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10. The unit of intensity of electric field is
a) Newton /Coulomb
b) Joule / Coulomb
c) Volt - metre
d) Newton /metre

Answer: a
Explanation:
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