Physics Important Derivation for Class 12 - Important Physics Derivation

Class 12 students who are appearing for their board exams can take note of these physics derivations. They are very important.

You should do the derivations exactly as given in textbook, which is NCERT for most boards such as CBSE.

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1. Important
Derivations of
Physics in
Class 12

2. Unit 1: Electrostatics
–Derive Coulomb's law in vector form.
–Derive an expression for electric field due to a short dipole (i) at a point on the axial
line (ii) at a point on equatorial line.
–Derive an expression for Torque of electric dipole placed in uniform Electric Field.
–Derive expression for Potential Energy of an electric dipole placed in uniform Electric
Field.
–Derive an expression for Electric field due to Infinitely long uniformly charged
straight wire.
–Derive an expression for Electric field strength due to an infinite plane sheet of
uniform surface charge density.
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3. Unit 1: Electrostatics
–Derive an expression for Electric field strength due to a uniformly charged thin
spherical shell at external point, at the point on surface , at internal point.
–Derive an expression for electric potential on (i) Axial Point (ii) Equatorial Point.
–Derive expression for Capacitance of a Parallel plate Capacitor.
–Derive expression for Energy stored in a charged capacitor.
–Derive expression for the Capacitance of a parallel plate capacitor when a thin
dielectric slab is placed between the plates of capacitor.
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4. Unit 2: Current Electricity
–Derive an expression for drift velocity of electron in a metallic wire placed in
Electric field and also establish a relation between Electric current and Drift
velocity.
–Derive expression for equivalent EMF of cells connected in series and parallel
combinations.
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5. Unit 3: Magnetic Effects of
Current and Magnetism
–Derive expression for Magnetic field due to a Current carrying Circular coil at a
point on its axis.
–Derive expression for Magnetic field due to a Straight current carrying infinite
length conductor.
–Derive Magnetic field due to Current carrying Solenoid.
–Derive expression for Force between two parallel current carrying conductors.
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6. Unit 4: Electromagnetic Induction
and Alternating Current
–Derive expression for Mutual Inductance between two current carrying coils.
–Derive expressions for Mean and RMS value of Alternating current.
–Derive expression for Impedance of a series RLC circuit.
–Derive expression for Average power dissipation in series RLC circuit.
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7. Unit 5: Electromagnetic Waves
–What is Displacement Current and explain the Ampere & Maxwell Law.
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8. Unit 6: Optics
–Show the formation of Image of a point object due to refraction of light by
Spherical surface seperatingtwo medium of refractive index n
1and n
2and
derive the relation between n
1, n
2, u, v and radius of curvature.
–Derive Lens maker's formula.
–Derive expression for Magnifying power of Compound microscope.
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9. Unit 6: Optics
–Derive an expression for Magnifying power of Astronomical Telescope.
–Derive an expression for Angle of deviation and hence Prism formula.
–Derive a mathematical expression for the width of Interference fringes obtained
in Young's double slit experiment.
–Explain the formation of a pattern of fringes obtained on the screen in Single slit
Diffraction experiment and hence derive expression for width of Central
Maxima.
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10. Unit 7: Dual Nature of Radiation
and Matter
–Derive Einstein's Photoelectric Equation.
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11. Unit 8: Atom and Nuclei
–Derive expression for Radius of Hydrogen Atom.
–Derive expression for half life and mean life of a radioactive substance.
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12. Unit 9: Semiconductors and
Electronic Devices
–Derive Amplification factor for Common Base and Common Emitter Amplifiers.
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13. Unit 10: Communication
Systems
–Derive an expression for covering range of TV transmission Tower.
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