Unit-09: Trigonometric Functions | MCQs

Unit-09: Trigonometric Functions

Multiple Choice Questions 

Trigonometric functions are essential mathematical functions that establish relationships between the angles of a right-angled triangle and the ratios of its sides. These functions, namely sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc), extend beyond right-angled triangles to describe periodic phenomena, wave motion, and oscillations. This unit explores the definitions of these functions, their properties, graphical representations

Unit-07: Mathematical Induction and Binomial Theorem | MCQs

 Unit-07: Mathematical Induction and Binomial Theorem

Multiple Choice Questions 

This unit explores two significant mathematical concepts: Mathematical Induction and the Binomial Theorem. Mathematical Induction is a powerful proof technique used to establish the truth of a statement for all natural numbers (or a subset thereof). It involves demonstrating a base case and then proving an inductive step that shows if the statement holds for an arbitrary case, it also holds for the subsequent case. The Binomial Theorem provides a systematic way to expand expressions of the form

Unit-06: Permutation and Combination | MCQs

Unit-06: Permutation and Combination

Multiple Choice Questions

Permutation and combination are essential concepts in combinatorics, a field of mathematics concerned with counting and arranging objects. Permutation refers to the arrangement of objects in a specific order, emphasizing the sequence of selection. Combination, on the other hand, focuses on the selection of objects without regard to their arrangement or order. This unit explores the fundamental principles of counting, introduces the formulas for

Unit-05: Polynomials| MCQs

Unit-05: Polynomials

Multiple Choice Questions 

Polynomials are algebraic expressions consisting of variables and coefficients, combined using addition, subtraction, and multiplication,  where the variables are raised to non-negative integer powers. This unit delves into the fundamental aspects of polynomials, including their definition, classification by degree and number of terms, and basic operations such as addition, subtraction,

Unit-03: Vectors | MCQs

 Unit-03: Vectors

Multiple Choice Questions 

A vector is a quantity possessing both magnitude (size) and direction. Unlike scalars, which are defined by a single numerical value, vectors are crucial for representing physical quantities such as displacement, velocity, acceleration, and force. This unit explores the fundamental concepts of vectors, including their representation, various operations (addition, subtraction,

Unit-04: Sequence and Series

 Unit-04: Sequence and Series 

Multiple Choice Questions 

Sequences and series are fundamental concepts in mathematics that deal with ordered lists of numbers and the sums of these numbers, respectively. A sequence is simply an ordered collection of elements, while a series is the sum of the terms of a sequence.

Unit-02: Matrices and Determinants | MCQs

 Unit-02: Matrices and Determinants 

Multiple Choice Questions 

Matrices and determinants are fundamental concepts in linear algebra with broad applications across mathematics, physics, engineering, computer science, and various other fields. A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns, while the determinant is a scalar value that can be computed from a square matrix.

Unit-01: Complex Numbers | MCQs

Unit-01: Complex Numbers

Multiple Choice Questions 

Unit-01: Complex Numbers introduces the fascinating world of complex numbers, starting with their definition and representation. You'll learn about real and imaginary parts, equality, and master basic algebraic operations.

Ch-14: Particle Physics | MCQs

Ch-14: Particle Physics

Multiple Choice Questions 

This chapter state that nucleon number and charge are conserved in nuclear processes. Describe the composition, mass and charge of alpha and gamma radiations. Explain that an antiparticle has the same mass but opposite charge. Describe

Ch-13: Relativity | MCQs

Ch-13: Relativity 

Multiple Choice Questions 

This chapter distinguish between inertial and non-inertial frames of reference. Describe the significance of Einstein's assumption of the constancy of the speed of light. Describe that if c is constant then space and time become relative. State the postulates of Special Relativity.

Ch-12: Electromagnetism | MCQs

Ch-12: Electromagnetism

Multiple Choice Questions 

Ch-12: Electromagnetism unifies the study of electricity and magnetism, revealing their deep interconnection through Maxwell’s Equations. This chapter explores how moving charges create magnetic fields and how changing magnetic fields induce electric currents, forming the basis for modern technology like motors, generators, and transformers.

Ch-11: Electricity | MCQs

 Ch-11: Electricity

Multiple Choice Questions 

Ch-11: Electricity is the branch of physics that studies the flow of electric charge and its applications in circuits, devices, and power systems. This chapter builds on electrostatics to explore current electricity, covering conductors, resistance, circuits, and power distribution—essential for understanding modern technology and electrical engineering. This chapter state the use for a current-carrying conductor.

Ch-10: Electrostatics | MCQs

 Ch-10: Electrostatics 

Multiple Choice Questions 

This chapter state that an electric field is an example of a field of force. Define and calculate electric field strength. Represent an electric field by means of field lines. Describe the effect of a uniform electric field on the motion of charged particles. Explain how a Faraday cage works. State and apply Coulomb's law. Describe how the ferrofluids work. Electrostatics is the study of electric charges at rest and the forces, fields, and potentials arising from their interactions.

Ch-09: Waves | MCQs

 Ch-09: Waves 

Multiple Choice Questions 

Ch-09: Waves represent one of the most fundamental concepts in physics, describing the propagation of energy through a medium or space without permanent displacement of matter. This chapter explores the characteristics, behavior, and applications of various wave types, forming the foundation for understanding sound, light, and other wave phenomena. Explore wave mechanics

Ch-08: Heat and Thermodynamics | MCQs

 Ch-08: Heat and Thermodynamics 

Multiple Choice Questions

Chapter 8: Heat and Thermodynamics explores the fundamental principles governing energy transfer, thermal properties of matter, and the laws that dictate energy transformations. The chapter begins with thermal expansion (linear: ΔL = αL₀ΔT; volumetric: ΔV = βV₀ΔT) and heat transfer mechanisms (conduction, convection, radiation).

Ch-07: Deformation of Solids | MCQs

 Ch-07: Deformation of Solids 

Multiple Choice Questions 

This chapter explains distinguish between the structures of crystalline, glassy, amorphous and polymeric solids. Describe that deformation of solids in one dimension. Define and use the terms stress, strain and the Young's modulus. Describe an experiment to determine the Young modulus of a metal wire.

Ch-06: Fluid Mechanics | MCQs

 Ch-06: Fluid Mechanics

Multiple Choice Questions 

Fluid Mechanics studies the behavior of fluids (liquids and gases) at rest (fluid statics) and in motion (fluid dynamics). The chapter begins with fundamental properties like density (ρ), pressure (P), and viscosity (η), then explores: Pascal’s Law: Pressure transmission in confined fluids, Archimedes’ Principle: Buoyant force, Bernoulli’s Equation: Energy conservation in flowing fluids, Viscous drag (Stokes’ Law) and turbulence (Reynolds number), Applications range from hydraulic systems to aerodynamics, with problem-solving focused on manometers, flow rates, and lift forces.

Ch-06: Fluid Mechanics - MCQs

This chapter covers use of Archimedes Principle of flotation. Justify how ships are engineered to float in the sea. Define and apply the terms steady. Explain and apply Bernoulli's equation for horizontal and vertical fluid flow. Explain why real fluids are viscous fluids. Describe how viscous forces in a fluid cause a retarding force on an object moving through it.

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Ch-05: Work and Energy | MCQs

 Ch-05: Work and Energy

Multiple Choice Questions 

Work and Energy explores the relationship between force, displacement, and energy transformations, covering kinetic/potential energy, work-energy theorem, and power. This chapter explores the fundamental concepts that govern the transfer and transformation of energy in physical systems, forming the cornerstone of mechanics.

Ch-04: Rotational and Circular Motion | MCQs

Ch-04: Rotational and Circular Motion 

Multiple Choice Questions 

This chapter delves into the dynamics of objects moving along curved paths or rotating about an axis, introducing fundamental concepts that distinguish these motions from linear movement. The chapter begins by defining uniform circular motion (UCM), where an object moves at constant speed

Ch-03: Translatory Motion | MCQs

Ch-03: Translatory Motion

Multiple Choice Questions

This chapter guides you derive the equation of motion. Solve problem using the equations of motion. Evaluate and analyze projectile motion in the absence of air resistance. Predict qualitatively how air resistance affects projectile motion. Apply the principle of conservation of momentum solve simple problems.