SRMJEEE Physics Syllabus

Physics syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Physics in SRMJEEE, not a summary of it.

1. 1

   Mechanics

   5 topics

   • Units, Dimensions and Measurement
     • SI units and dimensional formulae
     • Dimensional analysis and applications
     • Significant figures and error analysis
   • Kinematics
     • Motion in a straight line
     • Projectile motion and relative velocity
     • Uniform circular motion
   • Laws of Motion
     • Newton's three laws and free body diagrams
     • Friction and its applications
     • Banking of roads and centripetal force
   • Work, Energy and Power
     • Work-energy theorem
     • Conservative forces and potential energy
     • Elastic and inelastic collisions
   • Rotational Motion and Gravitation
     • Centre of mass and torque
     • Moment of inertia and angular momentum
     • Kepler's laws and gravitational potential
2. 2

   Properties of Matter and Heat

   4 topics

   • Elasticity
     • Stress, strain and Hooke's law
     • Young's, bulk and rigidity moduli
   • Fluid Mechanics
     • Pressure, Pascal's and Archimedes' principles
     • Bernoulli's theorem and viscosity
     • Surface tension and capillarity
   • Thermal Properties and Calorimetry
     • Thermal expansion and specific heat
     • Conduction, convection and radiation
   • Kinetic Theory and Thermodynamics
     • Kinetic theory of gases and gas laws
     • First and second laws of thermodynamics
     • Heat engines, Carnot cycle and entropy
3. 3

   Oscillations and Waves

   4 topics

   • Simple Harmonic Motion
     • Displacement, velocity and acceleration in SHM
     • Energy in SHM
     • Spring and pendulum systems
   • Wave Motion
     • Transverse and longitudinal waves
     • Speed of waves in different media
   • Superposition and Resonance
     • Stationary waves in strings and pipes
     • Beats and resonance
   • Sound and Doppler Effect
     • Doppler effect for sound
     • Intensity and loudness
4. 4

   Electricity and Magnetism

   4 topics

   • Electrostatics
     • Coulomb's law and electric field
     • Gauss's law and applications
     • Capacitance and dielectrics
   • Current Electricity
     • Ohm's law and resistivity
     • Kirchhoff's laws and Wheatstone bridge
     • Potentiometer and electrical power
   • Magnetic Effects of Current
     • Biot-Savart and Ampere's law
     • Force on conductors and moving charges
     • Moving coil galvanometer
   • Electromagnetic Induction and AC
     • Faraday's and Lenz's laws
     • Self and mutual inductance
     • LCR circuits and resonance
5. 5

   Optics and Modern Physics

   4 topics

   • Ray Optics
     • Reflection and refraction at surfaces
     • Lenses, mirrors and lens-maker's formula
     • Optical instruments
   • Wave Optics
     • Interference and Young's double slit
     • Diffraction and polarisation
   • Dual Nature and Atomic Physics
     • Photoelectric effect
     • Bohr model and hydrogen spectrum
     • de Broglie wavelength
   • Nuclear Physics and Electronics
     • Radioactivity and nuclear reactions
     • Mass-energy equivalence and binding energy
     • Semiconductors, diodes and logic gates

Physics flashcards for SRMJEEE

24 of 51 cards from the Physics deck — real questions with worked answers.

1. What are the seven SI base quantities and their units?

   Length (metre, m), Mass (kilogram, kg), Time (second, s), Electric current (ampere, A), Thermodynamic temperature (kelvin, K), Amount of substance (mole, mol), and Luminous intensity (candela, cd).

2. What is meant by the dimensional formula of a physical quantity?

   It is the expression showing which base quantities (mass $M$, length $L$, time $T$, etc.) and to what powers occur in the quantity. For example, force has dimensional formula $[M^{1}L^{1}T^{-2}]$.

3. State the principle of homogeneity of dimensions.

   In a physically correct equation, every term on both sides must have the same dimensions. Only quantities with identical dimensions can be added, subtracted, or equated.

4. What is the dimensional formula of force, and how is it derived?

   Force $= $ mass $\times$ acceleration, so $[F] = [M][LT^{-2}] = [M^{1}L^{1}T^{-2}]$.

5. What is the dimensional formula of work and energy?

   Both have dimensions $[M^{1}L^{2}T^{-2}]$, since work $=$ force $\times$ displacement $= [MLT^{-2}][L]$.

6. What is the dimensional formula of power?

   Power $= \dfrac{\text{work}}{\text{time}}$, so $[P] = \dfrac{[ML^{2}T^{-2}]}{[T]} = [M^{1}L^{2}T^{-3}]$.

7. What is the dimensional formula of pressure?

   Pressure $= \dfrac{\text{force}}{\text{area}} = \dfrac{[MLT^{-2}]}{[L^{2}]} = [M^{1}L^{-1}T^{-2}]$.

8. List three important limitations of dimensional analysis.

   It cannot (1) find dimensionless constants like $\tfrac{1}{2}$ or $\pi$, (2) derive equations involving trigonometric, exponential, or logarithmic functions, and (3) determine an equation containing more than one term or more unknowns than available equations.

9. Give three practical applications (uses) of dimensional analysis.

   (1) Checking the correctness of an equation (homogeneity), (2) converting a unit from one system to another, and (3) deriving the relation among physical quantities when their dependence is known.

10. What are significant figures?

    They are the digits in a measurement that are known reliably plus the first uncertain digit. They indicate the precision of the measurement.

11. How many significant figures are in $0.00420$ and in $4.500 \times 10^{3}$?

    $0.00420$ has 3 significant figures (leading zeros are not significant; the trailing zero is). $4.500 \times 10^{3}$ has 4 significant figures.

12. State the rules for significant figures in multiplication/division versus addition/subtraction.

    In multiplication/division, the result has as many significant figures as the factor with the fewest significant figures. In addition/subtraction, the result has as many decimal places as the term with the fewest decimal places.

13. Distinguish between absolute error, relative error, and percentage error.

    Absolute error $= |a_{\text{measured}} - a_{\text{true}}|$. Relative (fractional) error $= \dfrac{\Delta a}{a_{\text{mean}}}$. Percentage error $= \dfrac{\Delta a}{a_{\text{mean}}} \times 100\%$.

14. How do errors combine for a quantity $Z = \dfrac{A^{p}B^{q}}{C^{r}}$?

    The maximum relative error adds in quadrature of powers: $$\frac{\Delta Z}{Z} = p\frac{\Delta A}{A} + q\frac{\Delta B}{B} + r\frac{\Delta C}{C}.$$ Powers multiply the corresponding fractional errors and all add.

15. How do errors combine in addition and subtraction $Z = A \pm B$?

    The absolute errors add: $\Delta Z = \Delta A + \Delta B$, regardless of whether the quantities are added or subtracted.

16. Distinguish between distance and displacement.

    Distance is the total path length travelled (scalar, always positive). Displacement is the shortest straight-line vector from the initial to final position (vector, can be zero or negative).

17. Distinguish between average velocity and average speed.

    Average velocity $= \dfrac{\text{displacement}}{\text{time}}$ (vector). Average speed $= \dfrac{\text{total distance}}{\text{time}}$ (scalar). They are equal only for straight-line motion without reversal.

18. State the three equations of motion for uniform acceleration.

    $$v = u + at,\quad s = ut + \tfrac{1}{2}at^{2},\quad v^{2} = u^{2} + 2as.$$

19. What is the displacement in the $n^{\text{th}}$ second of uniformly accelerated motion?

    $$s_{n} = u + \frac{a}{2}(2n - 1).$$

20. For a body in free fall from rest, what are its velocity and distance after time $t$?

    $v = gt$ and $h = \tfrac{1}{2}gt^{2}$, taking $g \approx 9.8\ \text{m s}^{-2}$ and initial velocity zero.

21. On a velocity-time graph, what do the slope and the area under the curve represent?

    The slope gives the acceleration, and the area between the curve and the time axis gives the displacement.

22. For projectile motion, give the formulas for time of flight, maximum height, and range.

    $$T = \frac{2u\sin\theta}{g},\quad H = \frac{u^{2}\sin^{2}\theta}{2g},\quad R = \frac{u^{2}\sin 2\theta}{g}.$$

23. At what angle of projection is the horizontal range of a projectile maximum, and what is that range?

    At $\theta = 45^{\circ}$, where $\sin 2\theta = 1$, giving maximum range $R_{\max} = \dfrac{u^{2}}{g}$.

24. What is the equation of the trajectory of a projectile?

    $$y = x\tan\theta - \frac{g x^{2}}{2u^{2}\cos^{2}\theta},$$ which is the equation of a parabola.

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