1 For coulomb force to be operative the least size of the atom will be a) 10ି଼ m b) 10ିଵହ m c) 10ିଵ m d) 10ିଵଶ m 2 A conducting sphere of radius 10 cm is charged with 10 μC. Another uncharged sphere of radius 20 cm is allowed to touch it for some time. After that if the spheres are separated, then surface density of charges on the spheres will be in the ratio of a) 1: 1 b) 2: 1 c) 1: 3 d) 1: 2 3 When 10ଵଽ electrons are removed from a neutral metal plate, the electric charge on it is a) - 1.6 C b) 10ାଵଽ C c) +1.6 C d) 10ିଵଽ C 4 A charge q is placed at the center of the line joining two equal charges Q. The system of the three charges will be in equilibrium if q is equal to a) ொ ହ b) ொ ଶ c) ொ ସ d) ିொ ସ 5 A parallel plate air capacitor is charged to a potential difference of V volt. After disconnecting the charging battery, the distance between the plates of the capacitor is increased using an insulating handle. As a result, the potential difference between the plates. a) does not change b) increases c) becomes zero d) decreases 6 Which of the following is not the property of equipotential surfaces? a) They are concentric spheres for uniform electric fields. b) They can be imaginary spheres. c) They do not cross each other. d) Rate of change of potential with distance on them is zero.
Question
1 For coulomb force to be operative the least size of the atom will be a) 10ି଼ m b) 10ିଵହ m c) 10ିଵ m d) 10ିଵଶ m 2 A conducting sphere of radius 10 cm is charged with 10 μC. Another uncharged sphere of radius 20 cm is allowed to touch it for some time. After that if the spheres are separated, then surface density of charges on the spheres will be in the ratio of a) 1: 1 b) 2: 1 c) 1: 3 d) 1: 2 3 When 10ଵଽ electrons are removed from a neutral metal plate, the electric charge on it is a) - 1.6 C b) 10ାଵଽ C c) +1.6 C d) 10ିଵଽ C 4 A charge q is placed at the center of the line joining two equal charges Q. The system of the three charges will be in equilibrium if q is equal to a) ொ ହ b) ொ ଶ c) ொ ସ d) ିொ ସ 5 A parallel plate air capacitor is charged to a potential difference of V volt. After disconnecting the charging battery, the distance between the plates of the capacitor is increased using an insulating handle. As a result, the potential difference between the plates. a) does not change b) increases c) becomes zero d) decreases 6 Which of the following is not the property of equipotential surfaces? a) They are concentric spheres for uniform electric fields. b) They can be imaginary spheres. c) They do not cross each other. d) Rate of change of potential with distance on them is zero.
Solution
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The Coulomb force is the force between two charged particles. The size of the atom doesn't affect the existence of the Coulomb force, but the distance between the particles does. The force is inversely proportional to the square of the distance between the particles. So, none of the options are correct.
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When two conductors come into contact, the charge will distribute itself so that the electric potential is the same on both conductors. The surface charge density is the total charge divided by the surface area. Since the spheres have different radii, their surface areas are different. The ratio of the surface charge densities will be the inverse ratio of their surface areas, which is 4:1. So, none of the options are correct.
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The charge of an electron is -1.6 x 10^-19 C. So, the total charge of 10^13 electrons is -1.6 x 10^-6 C. So, the correct answer is b) 10^-6 C.
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For the system of three charges to be in equilibrium, the net force on each charge must be zero. This will be the case if q = -Q/4. So, the correct answer is d) -Q/4.
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The potential difference between the plates of a capacitor is given by the charge on the capacitor divided by the capacitance. If the distance between the plates is increased, the capacitance decreases, so the potential difference increases. So, the correct answer is b) increases.
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Equipotential surfaces are surfaces on which the electric potential is the same everywhere. They are perpendicular to electric field lines and never cross each other. The rate of change of potential with distance on them is zero. They can be real or imaginary surfaces. They are not necessarily concentric spheres. So, the correct answer is a) They are concentric spheres for uniform electric fields.
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