Paper pattern for PMT Entrance exam

Can you tell me Paper pattern for PMT Entrance exam?

[Raman Vij]

The questions are multiple choice objective type. Paper contains mainly question from physics, chemistry and biology. Total numbers of the questions are 180.

Pattern:
Subject No. of questions Marks
Physics 45 180
Chemistry 45 180
Biology 90 360

Syllabus: here I am giving syllabus of physics.


UNIT I: Physical World and Measurement
Physics : Scope and excitement; nature of physical laws; Physics, technology and society.

Need for measurement: Units of measurement; systems of units; SI units, fundamental and derived units. Length, mass and time measurements; accuracy and precision of measuring instruments; errors in measurement; significant figures.
Dimensions of physical quantities, dimensional analysis and its applications

UNIT II: Kinematics
Frame of reference, Motion in a straight line; Position time graph, speed and velocity. Uniform and non uniform motion, average speed and instantaneous velocity. Uniformly accelerated motion, velocity time and position time graphs, for uniformly accelerated motion (graphical treatment).
Elementary concepts of differentiation and integration for describing motion. Scalar and vector quantities: Position and displacement vectors, general vectors, general vectors and notation, equality of vectors, multiplication of vectors by a real number; addition and subtraction of vectors. Relative velocity.

Unit vectors. Resolution of a vector in a plane rectangular components.
Scalar and Vector products of Vectors. Motion in a plane. Cases of uniform velocity and uniform acceleration projectile motion. Uniform circular motion

UNIT III: Laws of Motion
Intuitive concept of force. Inertia, Newton’s first law of motion; momentum and Newton’s second law of motion;impulse; Newton’s third law of motion. Law of conservationof linear momentum and its applications.
Equilibrium of concurrent forces. Static and Kinetic friction, laws of friction, rolling friction, lubrication.

Dynamics of uniform circular motion. Centripetal force, examples of circular motion (vehicle on level circular road, vehicle on banked road).

UNIT IV: Work, Energy and Power
Work done by a constant force and variable force; kinetic energy, work-energy theorem, power.
Notion of potential energy, potential energy of a spring, conservative forces; conservation of mechanical energy (kinetic and potential energies); non-conservative forces; motion in a vertical circle, elastic and inelastic collisions in one and two dimensions


UNIT V: Motion of System of Particles and Rigid Body
Centre of mass of a two particle system, momentum conservation and centre of mass motion. Centre of mass of a rigid body; centre of mass of uniform rod
Moment of a force, torque, angular momentum, conservation of angular momentum with some examples.
Equilibrium of rigid bodies, rigid body rotation and equation of rotational motion, comparison of linear and rotational motions; moment of inertia, radius of gyration. Values of M.I. for simple geometrical objects (no derivation). Statement of parallel and perpendicular axes theorems and their applications.

UNIT VI: Gravitation


Kepler’s laws of planetary motion. The universal law of gravitation. Acceleration due to gravity and its variation with altitude and depth.


Gravitational potential energy; gravitational potential. Escape velocity, orbital velocity of a satellite. Geostationary satellites.

UNIT VII: Properties of Bulk Matter
Elastic behavior, Stress strain relationship. Hooke’s law, Young’s modulus, bulk modulus, shear, modulus of rigidity, poisson’s ratio; elastic energy.
Viscosity, Stokes’ law, terminal velocity, Reynold’s number, streamline and turbulent flow. Critical velocity, Bernoulli’s theorem and its applications.
Surface energy and surface tension, angle of contact, excess of pressure, application of surface tension ideas to drops, bubbles and capillary rise.
Heat, temperature, thermal expansion; thermal expansion of solids, liquids, and gases. Anomalous expansion. Specific heat capacity: Cp, Cv calorimetry; change of state latent heat.

Heat transfer, conduction and thermal conductivity, convection and radiation. Qualitative ideas of Black Body Radiation,Wein’s displacement law, and Green House effect.
Newton’s law of cooling and Stefan’s law.

UNIT VIII: Thermodynamics
Thermal equilibrium and definition of temperature (zeroth law of Thermodynamics). Heat, work and internal energy. First law of thermodynamics. Isothermal and adiabatic processes.
Second law of the thermodynamics: Reversible and irreversible processes. Heat engines and refrigerators.

UNIT IX: Behaviour of Perfect Gas and Kinetic Theory
Equation of state of a perfect gas, work done on compressing a gas.
Kinetic theory of gases: Assumptions, concept of pressure. Kinetic energy and temperature; degrees of freedom, law of equipartition of energy (statement only) and application to specific heat capacities of gases; concept of mean free path.

UNIT X: Oscillations and Waves
Periodic motion period, frequency, displacement as a function of time. Periodic functions. Simple harmonic motion (SHM) and its equation; phase; oscillations of a spring restoring force and force constant; energy in SHM Kinetic and potential energies; simple pendulum derivation of expression for its time period; free, forced and damped oscillations (qualitative ideas only), resonance.

Wave motion. Longitudinal and transverse waves, speed of wave motion. Displacement relation for a progressive wave. Principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics. Beats. Doppler effect.

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