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.

Play-08: Ozymandias by Percy Bysshe Shelley

Play-08: Ozymandias by Percy Bysshe Shelley Short Question Answers

Theme: A traveler saw a broken statue. It had two huge trunkless legs. Its face was lying in the sand half buried. Still there was an expression of anger on it. The king tried to immortalize himself in the form of a statue. But now the statue is lying broken in the sand.

Play-07: Times from Ecclesiastes, 3, 1-12

Play-07: Times from Ecclesiastes, 3, 1-12 Short Question Answers

Theme: The poem describes life as unfolding according to a predetermined schedule. Everything occurs at a specific, appointed time. Nature has orchestrated the universe to maintain control and order. Birth and death, happiness and sorrow, are all subject to a fixed timeline.

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-13: Relativity - Short Question Answers

 Ch-13: Relativity

Short Question Answers

Ch-13 Relativity revolutionizes our understanding of space, time, and gravity by introducing Einstein's groundbreaking theories. The chapter begins with Galilean relativity and its limitations in explaining electromagnetic phenomena, setting the stage for Einstein's Special Theory of Relativity

Ch-12: Electromagnetism - Short Question Answers

Ch-12: Electromagnetism

Short Question Answers

Chapter 12, Electromagnetism, explores the fundamental connection between electricity and magnetism. It introduces the concept that moving electric charges create magnetic fields and that changing magnetic fields induce electric fields (Faraday's Law). The chapter likely covers magnetic forces on moving charges and current-carrying wires, the properties of magnetic fields

Ch-11: Electricity - Short Question Answers

Ch-11: Electricity

Short Question Answers

Chapter 11, Electricity, explores the flow of electric charge and its associated phenomena. It introduces fundamental concepts like electric current, voltage (potential difference driving the current), and resistance (opposition to current flow), as defined by Ohm's Law. The chapter likely covers DC and AC circuits, series and parallel connections of resistors,

Ch-10: Electrostatics - Short Question Answers

Ch-10: Electrostatics

Short Question Answers

Electrostatics, delves into the phenomena associated with stationary or slow-moving electric charges. It explores the fundamental concept of electric charge, its properties (positive and negative), and the forces that arise between them, as described by Coulomb's Law. The chapter likely covers the idea of electric fields as a region of space where an electric charge experiences

Ch-09: Waves - Short Question Answers

Ch-09: Waves

Short Question Answers

Waves introduces the fundamental principles of wave motion, exploring how energy propagates through different media without net material transport. The chapter begins by classifying waves into mechanical waves (requiring a medium, e.g., sound, water ripples) and electromagnetic waves

Ch-08: Heat and Thermodynamics - Short Question Answers

Ch-08: Heat and Thermodynamics

Short Question Answers

 This chapter explores the fundamental principles governing heat transfer, thermal properties of matter, and the laws of energy conversion. It bridges microscopic particle behavior (kinetic theory) with macroscopic systems (engines, refrigerators),

Ch-07: Deformation of Solids - Short Question Answers

Ch-07: Deformation of Solids

Short Question Answers 

Deformation of Solids examines how materials respond to external forces, introducing fundamental concepts that bridge physics and materials science. The chapter begins by differentiating between elastic deformation (temporary, reversible) and plastic deformation (permanent),

Ch-05: Work and Energy - Short Question Answers

 Ch-05: Work and Energy

Short Question Answers

Work and Energy explores the fundamental concepts that govern the transfer and transformation of energy in physical systems, forming the cornerstone of mechanics. The principle of conservation of mechanical energy (total K+U remains constant in isolated systems) is derived and applied to problems like pendulum motion and free-falling objects.

Ch-06: Fluid Mechanics - Short Question Answers

Ch-06: Fluid Mechanics

Short Question Answers 

Fluid Mechanics investigates the behavior of fluids (liquids and gases) at rest and in motion, introducing fundamental principles essential for engineering, meteorology, and biomechanics. The chapter begins by defining key properties like density (ρ), pressure (P), and viscosity (η), establishing Pascal's Law for pressure transmission

Ch-04: Rotational and Circular Motion - Short Question Answers

 Ch-04: Rotational and Circular Motion

Short Question Answers

Ch-04: Rotational and Circular Motion 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. Practical examples (e.g., centrifuges, rolling wheels)

Ch-03: Translatory Motion - Short Question Answers

 Ch-03: Translatory Motion

Short Question Answers

Ch-03: Translatory Motion explores the fundamental principles governing the linear movement of objects along a straight path, where every particle of the body travels the same distance in the same direction. The chapter begins by differentiating between uniform motion

Ch-02: Vectors - Short Question Answers

 Ch-02: Vectors

Short Question Answers

Ch-02: Vectors introduces the mathematical framework for quantities that possess both magnitude and direction, distinguishing them from scalars which have only magnitude. The chapter begins by explaining vector representation through notation (bold letters or arrows) and graphical methods

Ch-01: Measurement - Short Question Answers

 Ch-01: Measurement
Short Question Answers

Measurement introduces the fundamental concepts of quantifying physical quantities, which form the basis of all scientific study. The chapter begins by distinguishing between base quantities (like length, mass, and time) and derived quantities (such as speed and force)

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

Play-03: The Oyster and the Pearl by William Saroyan

Play-03: The Oyster and the Pearl by William Saroyan Exercise Question / Answers

"The Oyster and the Pearl" is a poignant and introspective one-act play by William Saroyan, a celebrated American playwright and writer. This play is a beautiful and contemplative exploration of human connection, love, and vulnerability, told through the tender and fleeting relationship of a young couple. With Saroyan's signature lyrical prose

Play-02: Visit to a Small Planet by Gore Vidal

Play-02: Visit to a Small Planet by Gore Vidal Exercise Question / Answers

"The Oyster and the Pearl" is a poignant and whimsical one-act play by William Saroyan, exploring the human condition through a simple yet profound narrative. The play tells the story of a young couple's tender and fleeting relationship, set against the backdrop of a bustling city. Through Saroyan's signature lyrical prose and nuanced characterizations, "The Oyster and the Pearl" delves into themes of love, vulnerability, and the transformative power of human connection.

Play-01 Heat Lightning by Robert F. Carroll

Play-01: Heat Lightning by Robert F. Caroll Exercise Question / Answers

"Heat Lightning" is a poignant and powerful play by Robert F. Carroll, that explores the complexities of human relationships, family dynamics, and the fragility of the human psyche. As two strangers take shelter from a storm, tensions rise, secrets unravel,

Store-15: The Angel and the Author - and Others

Story-15: The Angel and the Author - and Others by Jerome K. Jerome Question / Answers

"The Angel and the Author – and Others" by Jerome K. Jerome is a collection of humorous essays and stories written in the late 19th century. The book showcases Jerome's characteristic wit as he navigates themes of morality, society, and the absurdity of human nature through a blend of fictional narratives and personal observations.

Story-14: Overcoat by Ghulam Abbas

Story-14: Overcoat by Ghulam Abbas Question / Answers

"The Overcoat" is a satirical short story by Ghulam Abbas, a renowned Pakistani writer. The story revolves around a poor but proud clerk, Mirza, who buys an expensive overcoat to impress his colleagues and superiors.

Story-13: God be Praised by Ahmed Nadeem Qasmi

God be Praised by Ahmed Nadeem Qasmi Question / Answers

"God Be Praised" is a thought-provoking short story by Ahmed Nadeem Qasmi, a renowned Pakistani writer. The story revolves around Maulvi Abul Barkat, a poor Imam of a masjid, who struggles to make ends meet and provide for his family.

Story-12: The Gift of Magi by O.Henry

Story-12: The Gift of Magi by O. Henry

Exercise Question and Answers 

"The Gift of the Magi" is a short story by O. Henry, first published in 1906. The story revolves around a young couple, Jim and Della, who are struggling to make ends meet during the Christmas season.

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.