Electric Charges and Fields Questions and Answers Part-3

1.In general, metallic ropes are suspended on the carriers which take inflammable material. The reason is
a) There speed is controlled
b) To keep the centre of gravity of the carrier nearer to the earth
c) To keep the body of the carrier in contact with the earth
d) Nothing should be placed under the carrier

Answer: c
Explanation: For providing path to charge induced on the surface of the carriers which take inflammable material.

2.Three equal charges are placed on the three corners of a square. If the force between \[q_{1}\]  and \[q_{2}\]  is \[F_{12}\]  and that between \[q_{1}\]  and \[q_{3}\]  is \[F_{13}\]  , the ratio of magnitudes \[\frac{F_{12}}{F_{13}}\]   is
a) 1/2
b) 2
c) \[1/\sqrt{2}\]
d) \[\sqrt{2}\]

Answer: b
Explanation:
q22

3. ABC is a right angled triangle in which AB = 3 cm and BC=4 cm . And \[\angle ABC=\pi /2\]   . The three charges +15,+12 and -20 e.s.u. are placed respectively on A , B and C . The force acting on B is
a) 125 dynes
b) 35 dynes
c) 25 dynes
d) zero

Answer: c
Explanation:
q23

4. With the rise in temperature, the dielectric constant K of a liquid
a) Increases
b) Decreases
c) Remains unchanged
d) Charges erratically

Answer: b
Explanation: With temperature rise, dielectric constant of liquid decreases.

5. Two charges \[q_{1}\] and \[q_{2}\] are placed in vacuum at a distance d and the force acting between them is F . If a medium of dielectric constant 4 is introduced around them, the force now will be
a) 4 F
b) 2 F
c) \[\frac{F}{2}\]
d) \[\frac{F}{4}\]

Answer: d
Explanation: In the presence of medium force becomes
q25

6. Force of attraction between two point charges Q and – Q separated by d metre is \[F_{e}\]  . When these charges are placed on two identical spheres of radius \[R=0.3 d\]   whose centres are d metre apart, the force of attraction between them is
a) Greater than \[ F_{e}\]
b) Equal to \[ F_{e}\]
c) Less than\[ F_{e}\]
d) Less than \[ F_{e}\]

Answer: a
Explanation: Separation between the spheres is not too large as compared to their radius so due to induction effect redistribution of charge takes place. Hence effective charge separation decreases so force increases.

7. When \[10^{14}\] electrons are removed from a neutral metal sphere, the charge on the sphere becomes
a) \[16\mu C\]
b) \[-16\mu C\]
c) \[32\mu C\]
d) \[-32\mu C\]

Answer: a
Explanation:
q27

8. A force F acts between sodium and chlorine ions of salt (sodium chloride) when put 1cm apart in air. The permittivity of air and dielectric constant of water are \[\epsilon_{0}\] and K respectively. When a piece of salt is put in water electrical force acting between sodium and chlorine ions 1 cm apart is
a) \[\frac{F}{K}\]
b) \[\frac{FK}{\epsilon_{0}}\]
c) \[\frac{F}{ K \epsilon_{0}}\]
d) \[\frac{F \epsilon_{0}}{ K}\]

Answer: a
Explanation:
q28

9.A conductor has \[14.4 \times 10^{-19} coulombs\]     positive charge. The conductor has (Charge on electron =1.6 \[\times 10^{-19} coulombs)\]
a) 9 electrons in excess
b) 27 electrons in short
c) 27 electrons in excess
d) 9 electrons in short

Answer: d
Explanation:
q29

10. The value of electric permittivity of free space is
a) \[9 \times 10^{9} NC^{2}/m^{2}\]
b) \[8.85 \times 10^{-12}Nm^{2}/C^{2}sec\]
c) \[8.85 \times 10^{-12}C^{2}/Nm^{2}\]
d) \[9 \times 10^{9}C^{2}/Nm^{2}\]

Answer: c
Explanation: \[8.85 \times 10^{-12}C^{2}/Nm^{2}\]