Electric Charges and Fields Questions and Answers Part-10

1. The distance between the two charges \[25 \mu C\]  and \[36 \mu C\]  is 11cm At what point on the line joining the two, the intensity will be zero
a) At a distance of 5 cm from \[25 \mu C\]
b) At a distance of 5 cm from \[36 \mu C\]
c) At a distance of 10 cm from \[25 \mu C\]
d) At a distance of 11 cm from \[36 \mu C\]

Answer: a
Explanation:
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2. Two spheres A and B of radius 4 cm and 6 cm are given charges of \[80 \mu C\]  and \[40 \mu C\]  respectively. If they are connected by a fine wire, the amount of charge flowing from one to the other is
a) \[20 \mu C\]   from A to B
b) \[16 \mu C\]   from A to B
c) \[32 \mu C\]   from B to A
d) \[32 \mu C\]   from A to B

Answer: d
Explanation:
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3.A charge particle is free to move in an electric field. It will travel
a) Always along a line of force
b) Along a line of force, if its initial velocity is zero
c) Along a line of force, if it has some initial velocity in the direction of an acute angle with the line of force
d) None of the above

Answer: b
Explanation: Because E points along the tangent to the lines of force. If initial velocity is zero, then due to the force, it always moves in the direction of E. Hence will always move on some lines of force.

4. If E is the electric field intensity of an electrostatic field, then the electrostatic energy density is proportional to
a) E
b) \[E^{2}\]
c) \[1/E^{2}\]
d) \[E^{3}\]

Answer: b
Explanation:
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5. A metallic sphere has a charge of \[10\mu C\]  . A unit negative charge is brought from A to B both 100 cm away from the sphere but A being east of it while B being on west. The net work done is
a) Zero
b) 2 /10 joule
c) -2 /10 joule
d) -1 /10 joule

Answer: a
Explanation:
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6. Two charges \[+4e\]  and \[+e\]  are at a distance x apart. At what distance, a charge q must be placed from charge \[+e\]  so that it is in equilibrium
a) \[x/2\]
b) \[2x/3\]
c) \[x/3\]
d) \[x/6\]

Answer: c
Explanation:
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7. An uncharged sphere of metal is placed in between two charged plates as shown. The lines of force look like
97
a) A
b) B
c) C
d) D

Answer: c
Explanation: Electric lines of force never intersect the conductor. They are perpendicular and slightly curved near the surface of conductor

8. The intensity of electric field required to balance a proton of mass \[1.7\times 10^{-27}kg\]    and charge \[1.6\times 10^{-19}C\]    is nearly
a) \[1\times 10^{-7}V/m\]
b) \[1\times 10^{7}V/m\]
c) \[1\times 10^{-5}V/m\]
d) \[1\times 10^{5}V/m\]

Answer: a
Explanation:
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9.On rotating a point charge having a charge q around a charge Q in a circle of radius r. The work done will be
a) \[q\times 2\pi r\]
b) \[\frac{q\times 2\pi Q}{r}\]
c) Zero
d) \[\frac{ Q}{2\epsilon_{0}r}\]

Answer: c
Explanation: Since charge Q moving on equipotential surface so work done is zero

10. Two point charges Q and – 3Q are placed at some distance apart. If the electric field at the location of Q is E then at the locality of -3 Q , it is
a) -E
b) E/3
c) -3E
d) -E/3

Answer: b
Explanation:
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