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S.B.I.O.A. MODEL MATRIC AND HIGHER SECONDARY SCHOOL, CHENNAI – 37 CYCLE TEST – I STD. XII PHYSICS TIME : 1 HR. CODE – A MAX. MARKS : 50 I. ANSWER THE FOLLOWING: 10 X 3 = 30 1. State Coulomb’s law in electrostatics. 2. What is a dipole? Define dipole moment. 3. Differentiate polar and non polar molecules. 4. What is meant by quantization of charges? 5. Define potential at a point. 6. Give the uses of capacitors. 7. What is corona discharge? Where is it used? 8. What is meant by electrostatic shielding? 9. Three small identical balls have charges -3 x 10-12 C, 8 x10-12 C and 4 x 10-12 C respectively. They are brought in contact and then separated. Calculate (i) the charge on each ball (ii) no. of electrons in excess or deficit in each ball after contact. 10. Two charges +q and -3q are separated by a distance of 1m. At what point between the charges on the axis is the potential zero? II. ANSWER THE FOLLOWING: 2 X 5 = 10 11. Derive an expression for the energy stored in a capacitor. 12. Two charges 10 x 10-9 C and 20 x 10-9 C are placed at a distance of 0.3 m apart. Find the potential and intensity at a point midway between them. OR A parallel plate capacitor has plates of area 200 cm2 and separation between the plates is 1 mm. Calculate (i) the potential difference between the plates if a 1 nC charge is given to the capacitor (ii) with the same charge the separation between the platers is increased to 2 mm, what is the new potential difference and (iii) the electric field between the plates. III. ANSWER THE FOLLOWING: 1 X 10 =10 13. Derive an expression for the electric field at a point on the axial line of the dipole. OR Explain the principle of a capacitor. Derive an expression for the capacitance of a parallel plate capacitor. S.B.I.O.A. MODEL MATRIC AND HIGHER SECONDARY SCHOOL, CHENNAI – 37 CYCLE TEST – I STD. XII PHYSICS TIME : 1 HR. CODE – B MAX. MARKS : 50 I. ANSWER THE FOLLOWING: 10 X 3 = 30 1. State Gauss’s law in electrostatics. 2. Define electric flux and give its unit . 3. What is permittivity and relative permittivity? How are they related? 4. What is meant by additive nature of charges? 5. Define potential difference. 6. Give the properties of lines of force. 7. Explain the working of a microwave oven. 8. What is meant by electrostatic induction? 9. Three capacitors 10 µF, 20 µF and 30 µF are connected in parallel with a 100 V battery. What is the total energy stored in the combination of capacitors? 10. A sample of HCl gas is placed in an electric field of 2.5 x 104 NC-1. The dipole moment of each molecule is 3.4 x 10-30 C m. Find the maximum torque that can act on a molecule. II. ANSWER THE FOLLOWING: 2 X 5 = 10 11. Derive an expression for the potential energy of a dipole. 12. Two insulated charged spheres of charges 6.5 x 10-7 C each are separated by a distance of 0.5 m. Calculate the electrostatic force between them. Also calculate the force (i) when the charges are doubled and the distance of separation is halved. (ii) when the charges are placed in a dielectric medium water (εr = 80) OR A spherical conductor of radius 0.12 m has a charge of 1.6 x 10-7 C distributed uniformly on its surface. What is the electric field (i) inside the sphere (ii) on the sphere (iii) at a point 0.18 m from the centre of the sphere? III. ANSWER THE FOLLOWING: 1 X 10 =10 13. Derive an expression for the electric field at a point on the equatorial line of the dipole. OR What is a capacitor? Derive an expression for the capacitance of a parallel plate capacitor when a dielectric is introduced. S.B.I.O.A. MODEL MATRIC AND HIGHER SECONDARY SCHOOL, CHENNAI – 37 CYCLE TEST – I STD. XII PHYSICS – OBJECTIVE TEST TIME : 1 HR. CODE – A MAX. MARKS : 50 S.NO. QUESTION 1. If a system consists of three charges 3q, 4q and -5q, then the total charge of the system is _________ a) 2q b) -2q c) 5q d) 12q 2. The value of permittivity of free space is _________ a) 8.854 x 1012 C2 N-1 m-2 b) 8.854 x 10-12 C2 N-1 m-2 c) 8.854 x 1012 C2 N1 m2 d) 8.854 x 10-12 C2 N1 m2 3. If the distance between two charges is doubled, then the force between the charges will be _________ a) four times more b) four times less c) two times more d) two times less 4. 5. If a proton is moved against the coulomb force of an electric field ________ a) work is done by the field b) energy is used from some outside source c) the strength of the field is decreased d) the energy of the system is decreased In vacuum the force between two charges is _______ a) F = b) F = c) F = 6. 7. 8. 9. The unit for k = d) F = is ________ a) NmC-1 b) Nm2C-1 c) Nm-2C-1 d) Nm2C The relative permittivity of a medium is also known as _______ a) permeability b) permittivity c) dielectric constant d) relative permeability Inverse square law helps us to define _________ a) force b) charge c) newton d) coulomb If a charge of q coulomb placed at a point experiences a force of F newton, then the electric OPTION ANSWER field intensity is _________ a) E = b) E = c) E = 10. 11. 12. 13. 14. d) E = The unit of relative permittivity is _________ a) NmC-1 b) Nm2C-1 c) Nm-2C-1 d) no unit The force between two charges depends on ________ a) density of the medium b) permeability of the medium c) nature of the medium d) size of the medium The direction dipole moment is _______ a) from +q to –q b) from –q to +q c) either a or b d) none of the above A unit positive charge gives rise to ______ lines of force in free space. a) 1/ εr b) εr c) 1/ ε0 d) ε0 The relation between electric field and electric potential is ________ a) b) c) d) 15. The potential at a point on the equatorial line of an electric dipole is _________ a) infinity b) zero c) d) 16. The torque acting on an electric dipole in an uniform electric field is _________ a) pE cosθ b) pE sin θ c) –pE sin θ d) 0 Electric potential energy is measured in terms of _________ a) force b) work done c) intensity d) electric field The unit of electric flux is ________ a) NmC-1 b) Nm2C-1 c) Nm-2C-1 d) no unit The electric field due to an infinite plane sheet of charge is ________ a) independent of the charge on the sheet b) independent of the area of the sheet c) independent of the medium d) independent of the distance of the point from the sheet The distribution of charge on a conductor depends on ________ a) only on the shape of the conductor b) nature of the conductor c) only on the proximity of the conductors 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 32. 32. d) on the shape and proximity of the conductors Lightning arrestors work on the principle of _______ a) induction b) action of points c) conduction d) electromagnetic induction Van de Graff generators are used to obtain potential of the order of _______ V. a) 10-6 b) 106 c) 107 d) 10-7 The capacitance of a condenser is given by _______ a) C = q/V b) C = qV c) V = C/q d) V = qC If a dielectric is introduced in a parallel plate capacitor, it tends to ________ a) increase the capacitance b) decrease the capacitance c) neither increase nor decrease d) first increases and then decreases The commonly used dielectric is _______ a) air b) oil c) water d) wood Two point chargesd +4q and +q are placed 30 cm apart. At what point on the line joining them is the electric field zero? a) 15 cm from +q b) 7.5 cm from +q c) 20 cm from +4q d) 5 cm from +q The electrostatic force between two charges kept at a distance d apart in a medium εr = 6 is 0.3 N. The force between them at the same separation is ______ a) 20 N b) 0.5 N c) 1.8 N d) 2 N Electric field intensity is 400 V/m at a distance of 2 m from a point charge. It will be 100 V/m at a distance of _______ a) 50 cm b) 4 cm c) 4 m d) 1.5 m A dipole is placed with its axis parallel to a uniform electric field. It experiences ________ a) only a net force b) both a net force and a torque c) only torque d) neither a net force nor torque A dipole is placed at angle θ in an uniform electric field. It experiences ________ a) only a net force b) both a net force and a torque c) only torque d) neither a net force nor torque A dipole is placed in a non-uniform electric field. It experiences ________ a) only a net force b) both a net force and a torque c) only torque d) neither a net force nor torque If a point lies at a distance x from the midpoint of a dipole, the electric potential at this point is _______ a) directly proportional to x2 b) inversely proportional to x2 c) directly proportional to 1/x2 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. d) none of the above Electric potential energy of two point charges is _______ a) b) c) pE cosθ d) pE sinθ Electric potential energy of a dipole in an electric field is _______ a) b) c) pE cosθ d) pE sinθ The work done in moving a 500µC charge between two points on an equipotential surface is _______ a) zero b) finite positive c) finite negative d) infinity The work done in moving a 500µC charge between two points whose potential difference is 5 V is _______ a) zero b) finite positive c) finite negative d) infinity Which of the following quantities is a scalar? a) dipole moment b) electric field c) electric potential d) electric force The number of lines of force originating from a charge of 1C is _________ a) 1.129 b) 1.129 x 1011 c) 1.129 x10-11 d) 1.6 x 1018 The number of lines of force originating from a charge of 1µC is _________ a) 1.129 x 105 b) 1.129 x 1011 c) 1.129 x10-11 d) 1.6 x 1018 The electric field outside the plates of two oppositely charged plane sheets of charge density σ is _______ a) σ/2 ε0 b) -σ/2 ε0 c) σ / ε0 d) zero The electric field in between the plates of two oppositely charged plane sheets of charge density σ is _______ a) σ/2 ε0 b) -σ/2 ε0 c) σ / ε0 d) zero The electric field in between the plates of two similarly charged plane sheets of charge density σ is _______ a) σ/2 ε0 b) -σ/2 ε0 c) σ / ε0 d) zero A hollow metal ball carrying an electric charge produces no electric field at points ________ a) outside the sphere b) inside the sphere c) on its surface d) at a distance more than twice the radius 44. 45. 46. 47. 48. 49. 50. The capacitance of a parallel plate capacitor increases from 5µF to 12 µF when a dielectric is filled between the plates. The dielectric constant of the dielectric is ________ a) 65 b) 55 c) 12 d) 10 When capacitors are connected in parallel, the _______ a) p.d. across each capacitor is the same b) charge through each capacitor is the same c) both a and b d) neither a nor b If the p.d between two points 3 cm apart in an electric field is 30 V, then the electric field intensity between the points will be _______ a) 20 V/m b) 40 V/m c) 10 V/m d) 10 V/cm The force experienced by an electron in an electric field of intensity 103 V/m is ________ a) 1.6 x 10-19 N b) 1.6 x 10-16 N 19 c) 1.6 x 10 N d) 1.6 x 10-10 N Distribution of charges on a conductor depends on _______ a) size b) shape c) mass d) area Relation between electric field intensity and electric potential is _______ a) dV = -E dx b) dE = -V dx c) dV = -dE d) dV = dE The value for εr for air is _______ a) 1 b) 0 c) < 1 d) >1 S.B.I.O.A. MODEL MATRIC AND HIGHER SECONDARY SCHOOL, CHENNAI – 37 CYCLE TEST – I STD. XII PHYSICS – OBJECTIVE TEST TIME : 1 HR. CODE – B MAX. MARKS : 50 S.NO. QUESTION 1. Two point chargesd +4q and +q are placed 30 cm apart. At what point on the line joining them is the OPTION ANSWER 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. electric field zero? a) 15 cm from +q b) 7.5 cm from +q c) 20 cm from +4q d) 5 cm from +q The electrostatic force between two charges kept at a distance d apart in a medium εr = 6 is 0.3 N. The force between them at the same separation is ______ a) 20 N b) 0.5 N c) 1.8 N d) 2 N Electric field intensity is 400 V/m at a distance of 2 m from a point charge. It will be 100 V/m at a distance of _______ a) 50 cm b) 4 cm c) 4 m d) 1.5 m A dipole is placed with its axis parallel to a uniform electric field. It experiences ________ a) only a net force b) both a net force and a torque c) only torque d) neither a net force nor torque A dipole is placed at angle θ in an uniform electric field. It experiences ________ a) only a net force b) both a net force and a torque c) only torque d) neither a net force nor torque A dipole is placed in a non-uniform electric field. It experiences ________ a) only a net force b) both a net force and a torque c) only torque d) neither a net force nor torque If a point lies at a distance x from the midpoint of a dipole, the electric potential at this point is _______ a) directly proportional to x2 b) inversely proportional to x2 c) directly proportional to 1/x2 d) none of the above Electric potential energy of two point charges is _______ a) b) c) pE cosθ d) pE sinθ Electric potential energy of a dipole in an electric field is _______ a) b) c) pE cosθ d) pE sinθ The work done in moving a 500µC charge between two points on an equipotential surface is _______ a) zero b) finite positive c) finite negative d) infinity The work done in moving a 500µC charge between two points whose potential difference is 5 V is 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. _______ a) zero b) finite positive c) finite negative d) infinity Which of the following quantities is a scalar? a) dipole moment b) electric field c) electric potential d) electric force The number of lines of force originating from a charge of 1C is _________ a) 1.129 b) 1.129 x 1011 c) 1.129 x10-11 d) 1.6 x 1018 The number of lines of force originating from a charge of 1µC is _________ a) 1.129 x 105 b) 1.129 x 1011 c) 1.129 x10-11 d) 1.6 x 1018 The electric field outside the plates of two oppositely charged plane sheets of charge density σ is _______ a) σ/2 ε0 b) -σ/2 ε0 c) σ / ε0 d) zero The electric field in between the plates of two oppositely charged plane sheets of charge density σ is _______ a) σ/2 ε0 b) -σ/2 ε0 c) σ / ε0 d) zero The electric field in between the plates of two similarly charged plane sheets of charge density σ is _______ a) σ/2 ε0 b) -σ/2 ε0 c) σ / ε0 d) zero A hollow metal ball carrying an electric charge produces no electric field at points ________ a) outside the sphere b) inside the sphere c) on its surface d) at a distance more than twice the radius The capacitance of a parallel plate capacitor increases from 5µF to 12 µF when a dielectric is filled between the plates. The dielectric constant of the dielectric is ________ a) 65 b) 55 c) 12 d) 10 If a system consists of three charges 3q, 4q and -5q, then the total charge of the system is _________ a) 2q b) -2q c) 5q d) 12q The value of permittivity of free space is _________ a) 8.854 x 1012 C2 N-1 m-2 b) 8.854 x 10-12 C2 N-1 m-2 c) 8.854 x 1012 C2 N1 m2 d) 8.854 x 10-12 C2 N1 m2 If the distance between two charges is doubled, then the force between the charges will be _________ a) four times more b) four times less c) two times more d) two times less If a proton is moved against the coulomb force of an electric field ________ a) work is done by the field 24. b) energy is used from some outside source c) the strength of the field is decreased d) the energy of the system is decreased In vacuum the force between two charges is _______ a) F = b) F = c) F = 25. 26. 27. 28. 29. 30. 32. 32. 33. 34. The unit for k = d) F = is ________ a) NmC-1 b) Nm2C-1 c) Nm-2C-1 d) Nm2C The relative permittivity of a medium is also known as _______ a) permeability b) permittivity c) dielectric constant d) relative permeability Inverse square law helps us to define _________ a) force b) charge c) newton d) coulomb If a charge of q coulomb placed at a point experiences a force of F newton, then the electric field intensity is _________ a) E = b) E = c) E = d) E = The unit of relative permittivity is _________ a) NmC-1 b) Nm2C-1 c) Nm-2C-1 d) no unit The force between two charges depends on ________ a) density of the medium b) permeability of the medium c) nature of the medium d) size of the medium The force experienced by an electron in an electric field of intensity 103 V/m is ________ a) 1.6 x 10-19 N b) 1.6 x 10-16 N 19 c) 1.6 x 10 N d) 1.6 x 10-10 N Distribution of charges on a conductor depends on _______ a) size b) shape c) mass d) area Relation between electric field intensity and electric potential is _______ a) dV = -E dx b) dE = -V dx c) dV = -dE d) dV = dE The value for εr for air is _______ a) 1 b) 0 c) < 1 d) >1 35. 36. 37. The direction dipole moment is _______ a) from +q to –q b) from –q to +q c) either a or b d) none of the above A unit positive charge gives rise to ______ lines of force in free space. a) 1/ εr b) εr c) 1/ ε0 d) ε0 The relation between electric field and electric potential is ________ a) b) c) d) 38. The potential at a point on the equatorial line of an electric dipole is _________ a) infinity b) zero c) d) 39. The torque acting on an electric dipole in an uniform electric field is _________ a) pE cosθ b) pE sin θ c) –pE sin θ d) 0 Electric potential energy is measured in terms of _________ a) force b) work done c) intensity d) electric field The unit of electric flux is ________ a) NmC-1 b) Nm2C-1 c) Nm-2C-1 d) no unit The electric field due to an infinite plane sheet of charge is ________ a) independent of the charge on the sheet b) independent of the area of the sheet c) independent of the medium d) independent of the distance of the point from the sheet The distribution of charge on a conductor depends on ________ a) only on the shape of the conductor b) nature of the conductor c) only on the proximity of the conductors d) on the shape and proximity of the conductors Lightning arrestors work on the principle of _______ a) induction b) action of points c) conduction d) electromagnetic induction Van de Graff generators are used to obtain potential of the order of _______ V. a) 10-6 b) 106 c) 107 d) 10-7 The capacitance of a condenser is given by _______ a) C = q/V b) C = qV c) V = C/q d) V = qC 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. If a dielectric is introduced in a parallel plate capacitor, it tends to ________ a) increase the capacitance b) decrease the capacitance c) neither increase nor decrease d) first increases and then decreases The commonly used dielectric is _______ a) air b) oil c) water d) wood When capacitors are connected in parallel, the _______ a) p.d. across each capacitor is the same b) charge through each capacitor is the same c) both a and b d) neither a nor b If the p.d between two points 3 cm apart in an electric field is 30 V, then the electric field intensity between the points will be _______ a) 20 V/m b) 40 V/m c) 10 V/m d) 10 V/cm