Physics -Hardik Sir Most IMP Theories 2024
A 13. Derive an electric potential at a distance
Most IMP Theories
𝑟(𝑟 ≫ 𝑎) due to an electric dipole. Also write
potential on the axis and in the equatorial plane.
2024 [March 2022] [July 2015]
14. Derive an expression for the potential energy of a
dipole in a uniform electric field. Discuss the
conditions of stable and unstable equilibrium.
Electric Charge
Ch 1 and Electric Field
[March 2009,18,19]
15. Derive an expression for capacitance of the
parallel plate capacitor.
1. State and Explain coulomb’s law in vector form. [March 2007,20,22] [July 2009,17]
[March 2010] [July 2016,18] 16. A number of capacitors are connected in series.
2. Obtain the equation of electric field produced by Derive an expression for the equivalent
point charge. Also, represent the electric field of capacitance of the series combination.
𝑄 > 0 and 𝑄 < 0 in Two-dimensions. [March 2009]
3. Define surface charge density and volume charge 17. A number of capacitors are connected in parallel.
density of an electric charge. Also state its unit. Derive an expression for the equivalent
[March 2019] capacitance of the parallel combination.
4. Derive an expression for the electric field at any
point on the axial line of an electric dipole. Ch 3 Current Electricity
[March 2006] [July 2021]
5. Derive an expression for the electric field at any 18. Obtain relation between the drift velocity and
point on the equatorial line of an electric dipole. current density. Also show that resistivity of a
𝑚
[March 2009] [July 2021] conductor is 𝜌 = 𝑛𝑒 2 𝜏. [July 2009,18]
6. Derive an expression for the torque on an electric 19. Explain mobility of charge carrier. [March 2020]
dipole placed in a uniform electric field. 20. State the limitations of ohm’s law.
[March 2008] [July 2006] 21. Two cells of different emfs and internal
7. Write any four properties of electric field lines. resistances are connected in series. Find
[March 2006,22] [July 2008,09,21] [Aug 2020] expressions for the equivalent emf and
8. State and prove Gauss's theorem. equivalent internal resistance of the
9. Apply Gauss's theorem to calculate the electric combination.
field of a thin infinitely long straight line of charge, 22. Two cells of different emfs and internal
with a uniform charge density of 𝜆. resistances are connected in parallel with one
[March 2007,18,22,23] another. Find the expressions for the equivalent
10. Apply Gauss's theorem to calculate the electric emf and equivalent internal resistance of the
field due to an infinite plane sheet of charge. combination. [March 2006] [Aug 2020]
11. Using Gauss’s law obtain the electric field inside 23. Obtain an expression for the heat developed in a
and outside the uniformly charged thin spherical resistor by the passage of an electric current
shell. through it. Hence state Joule's law of heating.
[July 2018]
Electrostatic Potential 24. Write only two statements for Kirchhoff’s Rules.
Ch 2 And Capacitance [March 2022] [July 2015,21]
25. What is a Wheatstone bridge? When is the bridge
12. Derive an expression for the electric potential at said to be balanced? Apply Kirchhoff’s laws to
a distance 𝑟 from a point charge 𝑞. What is the derive the balance condition of the Wheatstone
nature of this potential? [July 2006] bridge. [March 2009,18,19] [July 2014,16]
“ OM Complex ”, Near Omkareshwar Temple, Kamla Park – Townhall road, Anand. Mob : 70414 84150 1
, Physics -Hardik Sir Most IMP Theories 2024
43. What is motional emf ? Deduce an expression for
Ch 4 Magnetic Effect of Current the emf induced across the ends of a conductor
moving in a perpendicular magnetic field.
26. State and explain Biot-Savart law for the magnetic [March 2008,16] [July 2008,09,15]
field produced by a current element. 44. Explain construction and working of 𝐴. 𝐶
[March 2022] [July 2008] generator. Derive equation of 𝐴. 𝐶 voltage.
27. Derive expression for magnetic field on the axis of [March 2008]
a circular current loop. [March 2008] [July 2021] 45. Explain in brief the phenomenon of self-
28. Explain Ampere's circuital law. [July 2009] induction. Derive the formula for self-induced
29. State Ampere's circuital law and prove it for the emf. [March 2009,10,20,22] [July 2006, 09]
magnetic field produced by a straight current 46. Derive an expression for the self-inductance of a
carrying conductor. [March 2009, 23] [July 2008] long solenoid. State the factors on which the self-
30. Apply Ampere's circuital law to calculate inductance of a coil depends.[March 2006,13,16]
magnetic field inside a straight solenoid. 47. Explain mutual inductance, derive the equation
31. Obtain the formula for the Lorentz force on a 𝑀12 = 𝑀21 = 𝑀. [March 2017] [July 2009]
moving electric charge. [March 2018] [July 2018] 1
48. Deduce an equation 𝑈 = 2 𝐿𝐼 2 for an inductor.
32. Explain force between two parallel current
[March 2018,19] [July 2018] [Aug 2020]
carrying conductor and define Ampere.
49. Define mutual inductance and mention the
[July 2006]
factors on which mutual inductance depends.
33. Explain torque acting on a current loop and its
[March 2023]
stable and unstable equilibrium.
34. Explain Moving coil galvanometer. Alternating Current and
35. What should be done to convert a galvanometer Ch 7 Electrical Machines
into an ammeter? Obtain the formula for the
shunt. [March 2008,10] 50. Obtain expression for A.C current when an A.C
36. How is the galvanometer converted into voltage is applied to a resistor.
voltmeter? Obtain the formula of series [March 2017] [Aug 2020]
resistance. 51. Obtain an expression for A.C current when an A.C
voltage is applied to an inductor. Also, derive an
Ch 5 Magnetism expression for an average power over a complete
cycle. [March 2020,22]
37. Derive an expression for magnetic potential
52. Obtain expression for A.C current when A.C
energy 𝑈𝑚 = −𝑚 ⃗ , for a magnetic dipole kept
⃗⃗ ∙ 𝐵
voltage is applied to a capacitor. Also Discuss
in a uniform magnetic field. [March 2020]
power in case of 𝐴. 𝐶 voltage applied to capacitor.
38. State and explain Gauss's law in magnetism.
[March 2016] [July 2021]
[March 2023]
53. Discuss power in case of A.C voltage applied to
39. Explain Magnetization, Magnetic intensity,
resistor.
Susceptibility and derive equation μr = 1 + χ.
54. Obtain current amplitude and impedance in case
of 𝐴. 𝐶 voltage applied to a series 𝐿 − 𝐶 − 𝑅
Ch 6 Electromagnetic Induction circuit using phasor diagram.
55. Explain resonance in case of 𝐴. 𝐶 voltage applied
40. Define and explain Faraday's law of to series 𝐿𝐶𝑅 circuit.
electromagnetic induction. [July 2016] 56. Obtain expression for power when 𝐴. 𝐶 voltage is
41. State and illustrate Lenz's law. applied to series 𝐿𝐶𝑅 circuit.
42. Show that Lenz's law is a consequence of the law [March 2007,09] [July 2008,09]
of conservation of energy. [July 2021]
“ OM Complex ”, Near Omkareshwar Temple, Kamla Park – Townhall road, Anand. Mob : 70414 84150 2
, Physics -Hardik Sir Most IMP Theories 2024
57. State expression for average power in A.C circuit 71. Obtain the magnification for the Image formed at
and describe its cases. infinity for simple microscope.
[March 2016,19] [July 2015] 72. Obtain the equation of magnification for
58. What is a Transformer? State its principle and compound microscope. [July 2016]
explain its construction with proper figure.
59. Explain working of a transformer.
[March 2017]
Ch 10 Wave Optics
73. Explain Huygens principle for plane waves.
Ch 8 Electromagnetic Waves [March 2014,23] [July 2008,21] [Aug 2020]
74. Derive the laws of reflection of light on the basis
60. Write any four characteristics of electromagnetic
of Huygens' wave theory of light.
waves. [March 2013,15,17,22] [July 2021]
75. Derive the laws of refraction of light on the basis
61. Write the four Maxwell’s equations in reference
of Huygens' wave theory of light.
to electromagnetic waves. [March 2023]
76. Derive an expression for the intensity at any point
on the observation screen in Young's double slit
Ray Optics and
Ch 9 Optical Instruments
experiment. Hence write the conditions for
constructive and destructive interference.
62. Obtain relation between focal length and radius 77. Give some important points of difference
of curvature for concave mirror. [July 2016,18] between interference and diffraction.
63. Derive the relation between object distance 𝑢, [March 2006,13,17]
image distance 𝑣 and focal length 𝑓 for a concave
78. Define polarized and unpolarized light.
mirror, when it forms a real image of an object of
[July 2016] [March 2014]
finite size. [March 2007]
64. Define magnification. Derive the expressions for
79. State and explain the law of Malus.
magnification for a concave mirror. [July 2008]
[March 2014] [July 2016]
65. Explain the phenomenon of total internal
reflection. Under what conditions does it take Dual nature of matter
place? Derive the relation connecting the Ch 11 and radiation
refractive index and critical angle for a given pair
of media. [July 2014] 80. Define work function. On what factors work
66. Derive the lens maker’s formula for a convex lens. function depends? [July 2015]
Hence Derive thin lens formula. [March 2009,20] 81. State the laws of photoelectric emission. OR
67. What is an equivalent lens? Obtain an expression Characteristics of Photoelectric effect. [July 2014]
for the effective focal length of two thin lenses 82. Explain why photoelectric effect cannot be
placed in contact coaxially with each other. explained on the basis of wave nature of light.
[March 2008] [July 2006,21] [March 2022] [July 2006]
68. Derive 𝑖 + 𝑒 = 𝐴 + 𝛿 for a triangular glass prism. 83. Explain Einstein's theory of photoelectric effect.
[March 2007,20,22] [July 2009,21] [Aug 2020] [March 2006,09,10,18,22] [July 2009]
69. Write the condition for the angle of minimum 84. Write any four points for photon picture of
deviation. Derive the formula for the refractive electromagnetic radiation.
index of the material of the prism. [March 2006,07,08,20,22] [July 2008,09,14]
[March 2009,19,22] [July 2017,21]
70. What is simple microscope? Obtain the equation
of magnification for the image formed at normal
vision distance.
“ OM Complex ”, Near Omkareshwar Temple, Kamla Park – Townhall road, Anand. Mob : 70414 84150 3
A 13. Derive an electric potential at a distance
Most IMP Theories
𝑟(𝑟 ≫ 𝑎) due to an electric dipole. Also write
potential on the axis and in the equatorial plane.
2024 [March 2022] [July 2015]
14. Derive an expression for the potential energy of a
dipole in a uniform electric field. Discuss the
conditions of stable and unstable equilibrium.
Electric Charge
Ch 1 and Electric Field
[March 2009,18,19]
15. Derive an expression for capacitance of the
parallel plate capacitor.
1. State and Explain coulomb’s law in vector form. [March 2007,20,22] [July 2009,17]
[March 2010] [July 2016,18] 16. A number of capacitors are connected in series.
2. Obtain the equation of electric field produced by Derive an expression for the equivalent
point charge. Also, represent the electric field of capacitance of the series combination.
𝑄 > 0 and 𝑄 < 0 in Two-dimensions. [March 2009]
3. Define surface charge density and volume charge 17. A number of capacitors are connected in parallel.
density of an electric charge. Also state its unit. Derive an expression for the equivalent
[March 2019] capacitance of the parallel combination.
4. Derive an expression for the electric field at any
point on the axial line of an electric dipole. Ch 3 Current Electricity
[March 2006] [July 2021]
5. Derive an expression for the electric field at any 18. Obtain relation between the drift velocity and
point on the equatorial line of an electric dipole. current density. Also show that resistivity of a
𝑚
[March 2009] [July 2021] conductor is 𝜌 = 𝑛𝑒 2 𝜏. [July 2009,18]
6. Derive an expression for the torque on an electric 19. Explain mobility of charge carrier. [March 2020]
dipole placed in a uniform electric field. 20. State the limitations of ohm’s law.
[March 2008] [July 2006] 21. Two cells of different emfs and internal
7. Write any four properties of electric field lines. resistances are connected in series. Find
[March 2006,22] [July 2008,09,21] [Aug 2020] expressions for the equivalent emf and
8. State and prove Gauss's theorem. equivalent internal resistance of the
9. Apply Gauss's theorem to calculate the electric combination.
field of a thin infinitely long straight line of charge, 22. Two cells of different emfs and internal
with a uniform charge density of 𝜆. resistances are connected in parallel with one
[March 2007,18,22,23] another. Find the expressions for the equivalent
10. Apply Gauss's theorem to calculate the electric emf and equivalent internal resistance of the
field due to an infinite plane sheet of charge. combination. [March 2006] [Aug 2020]
11. Using Gauss’s law obtain the electric field inside 23. Obtain an expression for the heat developed in a
and outside the uniformly charged thin spherical resistor by the passage of an electric current
shell. through it. Hence state Joule's law of heating.
[July 2018]
Electrostatic Potential 24. Write only two statements for Kirchhoff’s Rules.
Ch 2 And Capacitance [March 2022] [July 2015,21]
25. What is a Wheatstone bridge? When is the bridge
12. Derive an expression for the electric potential at said to be balanced? Apply Kirchhoff’s laws to
a distance 𝑟 from a point charge 𝑞. What is the derive the balance condition of the Wheatstone
nature of this potential? [July 2006] bridge. [March 2009,18,19] [July 2014,16]
“ OM Complex ”, Near Omkareshwar Temple, Kamla Park – Townhall road, Anand. Mob : 70414 84150 1
, Physics -Hardik Sir Most IMP Theories 2024
43. What is motional emf ? Deduce an expression for
Ch 4 Magnetic Effect of Current the emf induced across the ends of a conductor
moving in a perpendicular magnetic field.
26. State and explain Biot-Savart law for the magnetic [March 2008,16] [July 2008,09,15]
field produced by a current element. 44. Explain construction and working of 𝐴. 𝐶
[March 2022] [July 2008] generator. Derive equation of 𝐴. 𝐶 voltage.
27. Derive expression for magnetic field on the axis of [March 2008]
a circular current loop. [March 2008] [July 2021] 45. Explain in brief the phenomenon of self-
28. Explain Ampere's circuital law. [July 2009] induction. Derive the formula for self-induced
29. State Ampere's circuital law and prove it for the emf. [March 2009,10,20,22] [July 2006, 09]
magnetic field produced by a straight current 46. Derive an expression for the self-inductance of a
carrying conductor. [March 2009, 23] [July 2008] long solenoid. State the factors on which the self-
30. Apply Ampere's circuital law to calculate inductance of a coil depends.[March 2006,13,16]
magnetic field inside a straight solenoid. 47. Explain mutual inductance, derive the equation
31. Obtain the formula for the Lorentz force on a 𝑀12 = 𝑀21 = 𝑀. [March 2017] [July 2009]
moving electric charge. [March 2018] [July 2018] 1
48. Deduce an equation 𝑈 = 2 𝐿𝐼 2 for an inductor.
32. Explain force between two parallel current
[March 2018,19] [July 2018] [Aug 2020]
carrying conductor and define Ampere.
49. Define mutual inductance and mention the
[July 2006]
factors on which mutual inductance depends.
33. Explain torque acting on a current loop and its
[March 2023]
stable and unstable equilibrium.
34. Explain Moving coil galvanometer. Alternating Current and
35. What should be done to convert a galvanometer Ch 7 Electrical Machines
into an ammeter? Obtain the formula for the
shunt. [March 2008,10] 50. Obtain expression for A.C current when an A.C
36. How is the galvanometer converted into voltage is applied to a resistor.
voltmeter? Obtain the formula of series [March 2017] [Aug 2020]
resistance. 51. Obtain an expression for A.C current when an A.C
voltage is applied to an inductor. Also, derive an
Ch 5 Magnetism expression for an average power over a complete
cycle. [March 2020,22]
37. Derive an expression for magnetic potential
52. Obtain expression for A.C current when A.C
energy 𝑈𝑚 = −𝑚 ⃗ , for a magnetic dipole kept
⃗⃗ ∙ 𝐵
voltage is applied to a capacitor. Also Discuss
in a uniform magnetic field. [March 2020]
power in case of 𝐴. 𝐶 voltage applied to capacitor.
38. State and explain Gauss's law in magnetism.
[March 2016] [July 2021]
[March 2023]
53. Discuss power in case of A.C voltage applied to
39. Explain Magnetization, Magnetic intensity,
resistor.
Susceptibility and derive equation μr = 1 + χ.
54. Obtain current amplitude and impedance in case
of 𝐴. 𝐶 voltage applied to a series 𝐿 − 𝐶 − 𝑅
Ch 6 Electromagnetic Induction circuit using phasor diagram.
55. Explain resonance in case of 𝐴. 𝐶 voltage applied
40. Define and explain Faraday's law of to series 𝐿𝐶𝑅 circuit.
electromagnetic induction. [July 2016] 56. Obtain expression for power when 𝐴. 𝐶 voltage is
41. State and illustrate Lenz's law. applied to series 𝐿𝐶𝑅 circuit.
42. Show that Lenz's law is a consequence of the law [March 2007,09] [July 2008,09]
of conservation of energy. [July 2021]
“ OM Complex ”, Near Omkareshwar Temple, Kamla Park – Townhall road, Anand. Mob : 70414 84150 2
, Physics -Hardik Sir Most IMP Theories 2024
57. State expression for average power in A.C circuit 71. Obtain the magnification for the Image formed at
and describe its cases. infinity for simple microscope.
[March 2016,19] [July 2015] 72. Obtain the equation of magnification for
58. What is a Transformer? State its principle and compound microscope. [July 2016]
explain its construction with proper figure.
59. Explain working of a transformer.
[March 2017]
Ch 10 Wave Optics
73. Explain Huygens principle for plane waves.
Ch 8 Electromagnetic Waves [March 2014,23] [July 2008,21] [Aug 2020]
74. Derive the laws of reflection of light on the basis
60. Write any four characteristics of electromagnetic
of Huygens' wave theory of light.
waves. [March 2013,15,17,22] [July 2021]
75. Derive the laws of refraction of light on the basis
61. Write the four Maxwell’s equations in reference
of Huygens' wave theory of light.
to electromagnetic waves. [March 2023]
76. Derive an expression for the intensity at any point
on the observation screen in Young's double slit
Ray Optics and
Ch 9 Optical Instruments
experiment. Hence write the conditions for
constructive and destructive interference.
62. Obtain relation between focal length and radius 77. Give some important points of difference
of curvature for concave mirror. [July 2016,18] between interference and diffraction.
63. Derive the relation between object distance 𝑢, [March 2006,13,17]
image distance 𝑣 and focal length 𝑓 for a concave
78. Define polarized and unpolarized light.
mirror, when it forms a real image of an object of
[July 2016] [March 2014]
finite size. [March 2007]
64. Define magnification. Derive the expressions for
79. State and explain the law of Malus.
magnification for a concave mirror. [July 2008]
[March 2014] [July 2016]
65. Explain the phenomenon of total internal
reflection. Under what conditions does it take Dual nature of matter
place? Derive the relation connecting the Ch 11 and radiation
refractive index and critical angle for a given pair
of media. [July 2014] 80. Define work function. On what factors work
66. Derive the lens maker’s formula for a convex lens. function depends? [July 2015]
Hence Derive thin lens formula. [March 2009,20] 81. State the laws of photoelectric emission. OR
67. What is an equivalent lens? Obtain an expression Characteristics of Photoelectric effect. [July 2014]
for the effective focal length of two thin lenses 82. Explain why photoelectric effect cannot be
placed in contact coaxially with each other. explained on the basis of wave nature of light.
[March 2008] [July 2006,21] [March 2022] [July 2006]
68. Derive 𝑖 + 𝑒 = 𝐴 + 𝛿 for a triangular glass prism. 83. Explain Einstein's theory of photoelectric effect.
[March 2007,20,22] [July 2009,21] [Aug 2020] [March 2006,09,10,18,22] [July 2009]
69. Write the condition for the angle of minimum 84. Write any four points for photon picture of
deviation. Derive the formula for the refractive electromagnetic radiation.
index of the material of the prism. [March 2006,07,08,20,22] [July 2008,09,14]
[March 2009,19,22] [July 2017,21]
70. What is simple microscope? Obtain the equation
of magnification for the image formed at normal
vision distance.
“ OM Complex ”, Near Omkareshwar Temple, Kamla Park – Townhall road, Anand. Mob : 70414 84150 3
