Exercise Solutions Available
Step-by-step answers for all textbook questions in this chapter
Unit 1 — Nature of Physical World and Measurement
One Mark
- Define physical quantity.
- What is a derived unit? Give one example.
- State Hooke's law.
- Define least count error.
- What is the dimensional formula of angular momentum?
Three Mark
- Explain the uses of dimensional analysis with examples.
- Differentiate between accuracy and precision.
Five Mark
- Explain error analysis. Define absolute error, mean absolute error, relative error, and percentage error. State rules for error propagation.
Unit 2 — Kinematics
One Mark
- Define velocity.
- What is the angle of projection for maximum range?
- Define relative velocity.
- State the condition for maximum height in projectile motion.
- What is instantaneous acceleration?
Three Mark
- Derive the expression for horizontal range of a projectile.
- Explain the concept of relative velocity with an example.
Five Mark
- Explain projectile motion. Derive expressions for time of flight, maximum height, and horizontal range. Show that the path is parabolic.
Unit 3 — Laws of Motion
One Mark
- State Newton's second law of motion.
- Define impulse.
- What is the angle of repose?
- Define centripetal force.
- What is inertia?
Three Mark
- Explain Newton's third law of motion. Why do action and reaction not cancel?
- Derive the expression for banking angle of a curved road.
Five Mark
- State and prove Newton's second and third laws of motion. Explain the application of Newton's laws to rocket propulsion.
Unit 4 — Work, Energy and Power
One Mark
- State the work-energy theorem.
- Define power.
- What is the unit of kinetic energy?
- What is a perfectly inelastic collision?
- Define conservative force.
Three Mark
- Derive the expression for elastic potential energy stored in a spring.
- Compare elastic and inelastic collisions.
Five Mark
- State the law of conservation of energy. Verify it for a freely falling body. Derive the work-energy theorem.
Unit 5 — Motion of System of Particles and Rigid Bodies
One Mark
- Define centre of mass.
- State the perpendicular axis theorem.
- What is the moment of inertia of a disc about its own axis?
- Define angular velocity.
- What is torque?
Three Mark
- State and prove the parallel axis theorem.
- Calculate the centre of mass of a system: 4 kg at origin and 2 kg at x = 3 m.
Five Mark
- Define moment of inertia. Derive the expression for moment of inertia of a uniform rod about an axis through its centre.
Unit 6 — Gravitation
One Mark
- State Newton's law of gravitation.
- What is gravitational potential?
- Define escape velocity.
- What is a geostationary satellite?
- State Kepler's second law.
Three Mark
- Explain variation of 'g' with altitude. Derive the expression.
- State and explain Kepler's three laws.
Five Mark
- Derive the expression for escape velocity. Compare with orbital velocity. Explain the concept of black holes qualitatively.
Unit 7 — Properties of Matter
One Mark
- Define stress.
- State Pascal's law.
- What is surface energy?
- Define viscosity.
- What is Archimedes' principle?
Three Mark
- Derive the excess pressure inside a soap bubble.
- Explain Stokes' law and terminal velocity.
Five Mark
- State and prove Bernoulli's theorem. Explain two applications.
Unit 8 — Heat and Thermodynamics
One Mark
- State the zeroth law of thermodynamics.
- What is an adiabatic process?
- Define entropy.
- State the second law of thermodynamics.
- What is the efficiency of a Carnot engine at 100% efficiency?
Three Mark
- Compare the four thermodynamic processes.
- Derive Mayer's relation Cₚ − Cᵥ = R.
Five Mark
- Describe the Carnot cycle. Derive its efficiency. Why is it the maximum possible efficiency?
Unit 9 — Kinetic Theory of Gases
One Mark
- State Boyle's law.
- What is the Boltzmann constant?
- Define mean free path.
- How many degrees of freedom does a monatomic gas have?
- What is the relation between pressure and kinetic energy?
Three Mark
- State the postulates of kinetic theory.
- Calculate the RMS speed of nitrogen at 300 K. (M = 28 g/mol, R = 8.314 J/mol K)
Five Mark
- Derive the expression for pressure of an ideal gas from kinetic theory. Hence derive PV = nRT.
Unit 10 — Oscillations
One Mark
- Define SHM.
- What is the time period of a spring of spring constant 400 N/m and mass 0.1 kg?
- At which position is KE maximum in SHM?
- Define amplitude.
- What is forced oscillation?
Three Mark
- Derive the expression for total energy in SHM. Show that it is constant.
- Show that motion of a spring-mass system is SHM. Derive time period.
Five Mark
- Define SHM. Write equations for displacement, velocity, and acceleration. Discuss energy variation with position and time. Sketch graphs.
Unit 11 — Waves
One Mark
- Define transverse wave.
- What is beat frequency?
- State the principle of superposition.
- What is a node?
- State the Doppler effect.
Three Mark
- Explain beats. Derive the expression for beat frequency.
- Derive the frequency of fundamental mode in an open organ pipe.
Five Mark
- Explain standing waves in a string. Derive frequencies of harmonics. Draw diagrams of first three modes.
Frequently Asked Questions
These questions are based on the Samacheer Kalvi Plus One Physics syllabus and textbook exercises. They represent the type and difficulty of questions asked in board exams.
