LIST OF IMPORTANT DERIVATIONS AND THEORY QUESTIONS
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Expression for the centre of mass of a system of particles, and derive expression for Newton’s second law.
Expression for couple
Equations for rotational motion.
To prove Kepler’s second law OR Geometric application of law of conservation of angular momentum
Components of linear acceleration
Expression for velocity and acceleration for a body rolling without sliding.
Expression for the decease in acceleration , the frictional force and coefficient of friction for a body rolling
without sliding. Also discuss special cases.
Derive expression for moment of inertia and radius of gyration.
Expression for anular momentum of a rigid body, also derive L=I w t = Ia .
Expression for variation in acceleration due to gravity due to altitude.
Expression for variation in acceleration due to gravity due to depth.
Expression for variation in acceleration due to gravity due to latitude.
Expression for gravitational potential.
Expression for escape energy and escape speed
Expression for the binding energy of satellite
Kepler’s third law OR to prove square of time period of satellite is proportional to cube of its orbital radius.
Newton’s law of gravitation in vector form
Expression for the elastic potential energy
Graphical relation between longitudinal stress and longitudinal strain in case of a wire kept under tension.
Expression for Poission’s ratio and expression for fractional change in volume in case of a wire.
Applications of stress and strain.
Archimedes’ principal and law of floatation
Expression for equation of continuity
Bernoulli’s equation
Expression for velocity of flow in venturimeter.
Expression for initial acceleration and terminal velocity, for a spherical body moving in viscous medium
Expression for the excess pressure inside a drop or a bubble
Expression for the height of liquid column in a capillary tube.
Explain phase diagram.
Work done by a gas during isothermal expansion
Explain four stages of working in a Carnot engine
Expression for efficiency in case of Carnot engine
Relation between Cp and Cv
Work done and efficiency in case of cyclic process.
Expression for the time period of a simple pendulum
Expression for differential equation for damped oscillation and its solution.
Expression for differential equation for forced oscillation and its solution.
Expression for differential equation for SHM
Explain resonance with example
Expression for equivalent force constant in case of series and parallel combination of springs. Also the
expression for time period
Expression for velocity and acceleration of SHO with special cases
Graph of KE , PE and mechanical energy with respect to displacement. Also find the point of intersection
and give the important points.
Expression for mechanical energy of and SHO
Derive the expression for wave equation
Classification of waves
Expression for speed of transverse waves in a stretched string
Expression for the speed of longitudinal waves in a medium
Define and derive equation of stationary waves
Expression for nodes and antinodes in case of stationary waves
Expression for different modes of oscillation in case of stationary waves.
51. Expression for harmonics and overtones for closed and open pipes.
52. Expression for frequency of beats
53. Define Doppler’s effect. Derive the expression for the apparent frequency heard by listener during relative
motion between source of sound and listener
54. Expression for reflected waves from a rigid support
55. Why transverse waves can propagate only in solid medium whereas longitudinal waves can propagate in
all kinds of medium