Physics Revision Book for Competitive Exams

A physics revision book covering important facts, formulas, and one-liners for competitive exams.

Topics Covered in the Index:

• Fundamental Physical Constants (p. 4)

• Basic Mathematics used in Physics (p. 5-10)

  • Quadratic Equation, Binomial Theorem, Logarithm, Components and Dividends Theorem, Algebraic Expressions, Arithmetic Progression, Geometrical Progression, Trigonometry, Trigonometric Identities, Sine Rule, Cosine Rule, Integration and Differentiation Formulae, Maxima & Minima, Average of a varying quantity, Formulae for determination of area and volume.

• General Physics (Mechanics) (p. 11-125), which includes Units, Dimensions and Measurements, and Scalars and Vectors.

Fundamental Physical Constants and Values (Selected Examples):

• Speed of light (C): 3 X 10^8 m/s

• Planck's constant (h): 6.63 X 10^-34 Js

• Gravitation constant (G): 6.67 10^-11 m³kg⁻¹s⁻²

• Charge of electron (e): 1.602 X 10^-19 C

• Mass of electron (m_e): 9.1 X 10^-31 kg

Units, Dimensions, and Measurement:

• Physical Quantity: Represented by magnitude and unit, which are inversely proportional.

• Types: Ratio (no unit), Scalar (magnitude only, e.g., Work, Energy), and Vector (magnitude and direction, e.g., Displacement, Velocity).

• S.I. System: Contains seven fundamental units (Kilogram, Meter, Second, Kelvin, Candela, Ampere, Mole) and two supplementary units (Radian and Steradian).

• Dimension: The powers to which fundamental quantities must be raised to express a physical quantity.

• Dimensional Analysis Applications: Converting units, checking the correctness of relations, and deriving relationships between quantities.

Scalar and Vectors:

• Vectors include Force, Displacement, and Acceleration.

• Dot (Scalar) Product

• Cross (Vector) Product

Vector Calculus (Del Operator):

• Del Operator

• Gradient (phi): Defines a vector field from a scalar field.

• Divergence (cdot V): A scalar result.

• Curl (times V): A vector result.

• Integral Calculus: Line, Surface, and Volume integrals are discussed.

• Theorems: Fundamental Theorem of Gradient, Gauss Divergence Theorem (closed surfaces), and Stokes' Theorem (open surfaces) are included.