R. K. MALIK’S JEE (MAIN & ADV.

), MEDICAL
NEWTON CLASSES + BOARD, NDA, FOUNDATION

Important Derivations of Physics,

Class 12 - CBSE
Chapter 2 (Electrostatic Potential &
Chapter 1 (Electric Charges and Fields) Capacitance)

1. Coulomb’s law of Electric Force 1. Electric Potential (EP) due to a point

2. Coulomb’s law in vector form charge.
3. Principle of superposition of 2. EP at an axial point of dipole
electrostatic forces 3. EP at an equatorial point of dipole
4. Electric field (EF) due to a point 4. EP at any general point due to a
charge dipole
5. EF due to a system of point charges 5. EP due to a group of point charges
6. EF at axial point of electric dipole 6. EP due to uniformly charged thin
7. EF at equatorial point of electric spherical shell
dipole 7. Relation between EF & EP
8. Torque on a dipole in uniform EF 8. Potential Energy (PE) of system of 2
9. Gauss’s theorem point charges

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10. EF due to a uniformly charged 9. PE of a system of 3 point charges
infinite plane sheet 10. PE of a system of N point charges

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11. EF of 2 positively charged parallel 11. PE of a single charge
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plates 12. PE of system of 2 point charges in an
12. EF due to 2 oppositely charged external field
parallel plates 13. PE of a dipole placed in an uniform
13. EF due to uniformly charged thin electric field
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spherical shell 14. Parallel Plate Capacitor

14. EF of a line charge (from Coulomb’s (Capacitance)
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law) 15. Capacitors in series & parallel

15. EF due to an infinitely long straight 16. Energy stored in a capacitor
charged wire 17. Energy stored in series combination
16. Deduction of Coulomb’s law from of capacitors
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Gauss’s theorem 18. Energy density of an EF

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19. Reduced field inside a dielectric &

dielectric constant
20. Electric susceptibility
21. Relation between electric
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susceptibility & dielectric constant

22. Capacitance of a parallel plate
capacitor with a dielectric slab
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23. Collecting action of a hollow sphere

Chapter 3 (Current Electricity) Chapter 4 (Moving charges & Magnetism)

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1. Wheatstone Bridge (Working & 1. Biot-Savart’s law (statement and

Balanced condition) derivation of formula)
2. Meter Bridge (Principle, 2. Magnetic Field (MF) due to a long
Construction & Working ) straight current carrying conductor
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3. Potentiometer (Principle, 3. MF at center of circular current loop.

Construction) 4. MF along axis of circular current
4. Applications of a potentiometer: loop
o Comparison of emfs of 2 5. Ampere’s circuital law (its proofs for
primary cells straight current carrying conductor &
o Internal resistance of a straight conductor)
primary cell 6. Calculation of MF inside a long
5. Resistances in series & parallel straight solenoid
7. MF due to a toroidal solenoid
6. Relation between potential difference (V), 8. Moving coil galvanometer (MCG)
internal resistance (r) and emf (E) (Principle, construction, theory and
working)
7. Cells in series and parallel 9. Figure of merit and sensitivity
(current & voltage) of a MCG
8. Condition for max current from (series & 10. Conversion of MCG to Ammeter
parallel) combination of cells 11. Conversion of MCG to Voltmeter
12. Torque on current loop in uniform
9. Power consumed by (series & parallel)
MF
combination of appliances

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13. Force between 2 parallel current
carrying wires

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10. Mobility of charge carriers
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11. Relation between (b/w) electric current (I) conductor in MF
and mobility for conductors 15. Cyclotron (Principle, construction,
theory, working and expression for
12. Relaxation time and drift velocity max KE of accelerated ions)
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16. Work done by a magnetic force on a

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13. Relation b/w (I) and drift velocity charged particle
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17. Velocity selector

14. Deduction of Ohm’s law (from drift
velocity)
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15. Ohm’s law in vector form

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Chapter 5 (Magnetism & Matter) Chapter 6 (Electromagnetic Induction)

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1. MF of a bar magnet at an (axial & 1. Mutual Induction (its coefficient and

equatorial) point emf in terms of coefficient and rate of
2. Torque on magnetic dipole in a change of current w.r.t time)
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uniform MF 2. Mutual induction of 2 long solenoids

3. Potential energy of magnetic dipole 3. Self Induction (its coefficient and
4. Current loop as magnetic dipole emf in terms of coefficient and rate of
5. Magnetic dipole moment of a change of current w.r.t time)
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revolving electron 4. Self inductance of a long solenoid

5. Different methods of generating emf
(and the respective emf expressions)
6. Motional emf from Faraday’s law :
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Induced emf by change of area of coil

linked with MF
7. Motional emf from Lorentz force ,
Current induced in loop, power
delivered by external force and power
dissipated as Joule loss

Chapter 7 (Alternating Current) Chapter 8 (Electromagnetic Waves)

1. A.C Generator (Principle, 1. Maxwell’s modification of Ampere’s

construction, working and expression law
for induced emf) 2. Consistency of modified Ampere’s
2. Transformer (Principle, law
construction, working and theory)
3. Mathematical treatment of LC
oscillations
4. Conservation of energy in LC
oscillations

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5. Mechanical analogy for LC
oscillations

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6.
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Power in A.C circuit
7. Average power associated with
(resistor, inductor and capacitor)
8. Series LCR circuit (phasor
diagrams, expression for impedance ,
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resonance condition)
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9. Sharpness of resonance : Q-Factor
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10. Expression for Q-Factor

11. AC circuit containing resistor only
(and phasor diagram)
12. AC circuit containing inductor only
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(and phasor diagram), phase relation

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b/w emf and current, inductive

reactance
13. AC circuit containing capacitor
only (and phasor diagram), phase
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relation b/w emf and current,

capacitive reactance
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14. Average value of AC over 1 complete

cycle
15. Relation b/w avg and peak values of
AC
16. Relation b/w effective and peak
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values of AC
17. Relation b/w rms and peak values of
alternating emf
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Chapter 9 (Ray optics & optical instruments) Chapter 10 (Wave Optics)

1. Cassegrain reflecting telescope 1. Laws of reflection on basis of

(with diagram, magnification for final Huygen’s wave theory
image formed at (infinity, least 2. Laws of refraction on basis of
distance of distinct vision)) Huygen’s wave theory
2. Astronomical telescope : When final 3. Refraction at a rarer medium
image is formed at (infinity (normal 4. Refraction of a plane wavefront
adjustment), least distance of distinct through a prism, convex lens and a
vision) -working, diagrams and concave mirror
magnifying powers in each case 5. Expression for intensity at any point
3. Compound microscope : When final in interference pattern ; and the
image is formed at (infinity , least corresponding conditions for

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distance of distinct vision) - working, (constructive & destructive)

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diagrams and magnifying powers in interference
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each case 6. Expression for fringe width in
4. Simple microscope : When final Young’s double slit experiment (YDSE)
image is formed at (infinity , least ; and formulae for positions of (bright
distance of distinct vision) -working, & dark) fringes
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diagrams and magnifying powers in 7. Expression for ratio of intensities at

each case maxima and minima in an interference
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5. Formation of image by spherical pattern

lenses 8. Diffraction at a single slit - Central
6. Thin lens formula for a convex lens maximum, calculation of path
when it forms a (real & virtual) image difference, positions of minima,
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7. Thin lens formula for a concave lens positions of secondary maxima,

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8. Linear magnification produced by a intensity distribution curve

lens (in terms of u & f ; v & f) 9. (Angular & linear) width of central
9. Lens maker’s formula for a double maximum, linear width of a secondary
convex lens , double concave lens maximum
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10. Refraction at convex spherical 10. Fresnel’s distance & Fresnel’s zone
surface 11. Resolving power of a microscope and
When object lies in rarer medium & telescope
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•
image formed is real 12. Doppler effect - expression for
• When object lies in rarer medium apparent frequency of light, (blue &
& image formed is virtual red) shifts
• When object lies in denser medium
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& image formed is real

• When object lies in denser medium
& image formed is virtual
11. Refraction at concave spherical surface
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NEWTON CLASSES + BOARD, NDA, FOUNDATION

• When object lies in rarer medium

• When object lies in denser medium
12. Derivation of mirror formula for a concave
mirror when it forms a (real & virtual) image

13. Derivation of mirror formula for a convex

mirror

14. Linear magnification produced by mirrors

(in terms of u & f ; v & f)

15. Refraction through a rectangular glass slab

16. ^^ and expression for lateral displacement

17, Equivalent focal length and power of 2 thin

lenses in contact.

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Chapter 11 (Dual nature of radiation and Chapter 12 (Atoms)

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matter)
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1. Determination of Planck’s constant Rutherford’s experiment, and the
and work function from graph of formula for radius of nucleus which is
stopping potential vs frequency of thus derived from it
incident radiation for a 2. Bohr’s quantization condition of
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photosensitive material angular momentum

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2. 3. Bohr’s theory of hydrogen atom -
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formulae for radii of permitted orbits,

velocity of electrons in those orbits and
energy of electron in those orbits
4. Spectral series of hydrogen atom
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Chapter 13 (Nuclei) Chapter 14 (Semiconductor electronics)

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1. Formula for nuclear density in 1. Truth table, logic symbols and

terms of radius of a nucleus waveform examples for NOT, AND, OR,
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2. Expression for binding energy NAND and NOR gates

3. Radioactive decay law 2. npn transistor as a common emitter
4. Relation b/w half life & decay (CE) amplifier ; (current,voltage and
constant power) gains of a CE amplifier
5. Relation b/w mean life & decay 3. Amplifier theory
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constant 4. Transistor as a switch - 3 states of a

6. Decay rate / activity of a radioactive transistor (cutoff, active and
sample saturation) , switching action of a
7. transistor
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NEWTON CLASSES + BOARD, NDA, FOUNDATION

5. Actions of (npn & pnp) transistors

6. Current gains in a transistor (α & β)
and the relation b/w them
7. CE characteristics (input &
output and their theory)
8. Solar cell (construction, working,
diagram, and V-I characteristic)
9. Light emitting diode (LED) -
(construction, working, diagram, and
I-V characteristic)
10. Photodiode (construction, working,
diagrams and I-V characteristic)
11. Cause of reverse breakdown of a
junction diode - (Zener & avalanche)
breakdowns ; their causes in brief and
V-I characteristics in both cases
12. Zener diode - construction, working,
diagram

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13. Zener diode as a voltage regulator -
working, diagram and graph b/w

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14. Junction diode as a (half-wave & full-
wave) rectifier - working, diagrams
and waveform graphs
15. Working of a p-n junction in both
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types of (forward & reverse) biasing -

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diagrams and brief theory
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16. V-I characterisics of a p-n junction

diode - forward-bias & reverse bias
characteristic graphs and their brief
theory
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17. p-n junction - working in brief,

diagram
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MISTAKES IN IIT-JEE
India’s first and only coaching Institute
daring to release JEE (Mains & Advance)
solutions within two hours of completion of
Exam, and distributing the solutions among
students. doing so since it’s birth in 2006
R. K. MALIK the first and only
JEE preparing DARE-DEVIL
to pin point mistakes in
MATHS (Published in all leading
news papers and
ADMITTED BY IIT EVERYTIME)
1. JEE Mains, 2017 2. JEE Mains, 2016 3. JEE Advance, 2015
4. JEE Mains, 2015 5. JEE (Mains), 2014
(Supported by Mathematician
(Supported by all Eminent
Dr. K. C. Sinha and Mr. Anand Kumar)
Mathematician & Authors

6. WB-JEE , 2015 (Admitted by WB-JEE BOARD)

7. JEE Advance, 2013 8. IIT-JEE, 2012 9. IIT-JEE, 2011
10. AIEEE, 2012 11. AIEEE, 2011 12. J.A.C (XI), 2015
13. J.A.C (XII), 2014 (Admitted by J.A.C) 14. J.A.C (XII), 2015
And ALSO pointed out mistake in
Official Solution released by IIT-JEE, 2011
CLAIMED BY R. K. MALIK
TOTAL SELECTIONS IN JEE ADVANCED IN 2017 = 39
TOTAL SELECTIONS IN JEE MAINS IN 2017 = 198
Letter of Appreciation