HC Verma Solutions for Class 11 Physics

Class 10 to class 11 is also assumed to be the transition from high school to intermediate or pre-college. Many find this transition intimidating and daunting. To alleviate this problem, Aakash aims to bring a very seamless transition for the students. A student's foundation for higher education is being laid during this crucial time. Thus, the class is very important in the context of higher education, particularly professional or technical education.

Further, most of the physics topics covered in the class 11 curriculum of HC Verma are geared toward preparing students for their future studies and competitive exams. It is designed very intricately to make students pay attention to essential topics without depriving them of their interest in learning. The students must understand each topic and practice the questions. We at Aakash have developed HC Verma solutions for class 11 physics to make sure students understand every aspect of the subject more clearly. Physics is entirely a conceptual subject which makes it hard to score maximum marks. The key aim is to aid students in strengthening their fundamentals. While crafting the solutions, we incorporated the challenges that students faced during this transition period. Therefore, explanations are constructed in an easy-to-understand language, making it easier for the students to ingest more information very smoothly. The HC Verma solution for class 11 physics is prepared by experts and senior faculty members of the Aakash Institute. Each numerical problem is explained in a stepwise manner with a detailed description and clarification.

Consequently, the students will start to build their interest in this subject. Furthermore, the book contains clear answers to questions and real-life illustrations to offer a comparative study of the question, thus explaining the underlying concept to students. Moreover, this type of approach to questions will make the students answer them from different aspects.

By studying the current syllabus holistically, the solutions are designed to meet the students' intellectual needs. In the Aakash HC Verma solution for class 11 physics, we have considered every chapter and provided answers for every question. The HC Verma solutions for class 11 consists of a total of 22 chapters. The solution helps students to get a clear view of the concept and prepares them for exams. To make things easier for the students, Aakash provides free PDF Solutions for HC Verma physics class 11. We recommend that the students download the PDF format and go through it thoroughly after learning the textbook. In this way, you will be able to gain a deep understanding of the subject.

HC Verma Solutions for Class 11 physics Chapters:

Chapter-1 Introduction To Physics

The chapter focuses on physics, which is defined as the study of nature and the laws that govern it. In addition to physics and mathematics, it covers unit definitions for seconds, meters, kilograms, amperes, kelvins, moles, and candelas. Additionally, it includes dimensions. Dimensions are exponents of the quantities in a base, which enter into an expression. Among other topics covered in the book, apart from the dimensions, are the order of magnitude, derivation of formula etc. It is possible to determine the approximate value of a quantity in any given physical situation by using an order of magnitude calculation, and the chapter elaborates the procedure for the very same.

Chapter-2 Physics And Mathematics

This chapter begins with a discussion of scalars and vectors. The vector has both magnitude and direction, whereas the scalar has only magnitude. A vector quantity also obeys the laws of vector addition. The book includes topics such as vector equality, vector addition, vector multiplication, vector subtraction, and vector resolution as well. The purpose of this chapter by H.C.Verma is to clear the students' doubts about vectors and scalars. As part of the chapter, all topics related to the dot product or scalar product of two vectors and the cross product or vector product of two vectors are explained in detail and concepts of differential calculus, maxima and minima, and integral calculus. A discussion of significant digits and errors in measurements is also provided in this chapter.

Chapter-3 Rest And Motion: Kinematics

This chapter will teach about rest and motion, distance and displacement, average and instantaneous speeds, average and instantaneous acceleration. The chapter defines 'motion' through a change in the position of a body with respect to its surroundings. The chapter elaborates on linear motion, plane motion, and projectile motion. A projectile motion is defined as the motion of a particle moving along both x and y axes and following a curved path. As a result, there is a change in height along with a corresponding change in distance covered. The plane motion is defined as the motion of a particle when it moves parallel to all the points of a plane. Every 2-D projectile motion can be considered plane motion but not vice versa. The chapter concludes with two other topics: the analysis and formulas of projectile motion and frame change.

Chapter-4 The Force

Chapter 4 of Verma's book takes a critical look at the conventional physics of force, and the questions help to greatly increase the knowledge of the topic, which is important for higher grade physics. The chapter elaborates on the concept of forces which may be contact forces like tension, friction force, compression force or non-contact like magnetic force, gravitation, electrical force. The chapter teaches students that force is a physical quantity that can change a given body's state of rest or motion. The chapter revolves around free body diagrams, force analysis, pseudo forces and change of frame of reference.

Chapter-5 Newton's Laws Of Motion

As a part of this chapter, students will be exposed to the first law, the second law, Newton's third law of motion. The first law introduces the students to the concept of inertia. It is inertia that resists the change in position or motion of a body until a force brings about the change. The second law talks about the change in momentum, and it leads to the derivation of the most basic formula for force, i.e., F=ma Where 'F' is the force, 'm' is the mass of the body and 'a' is the acceleration. The third law of motion by Newton is an action-reaction law. It states that there is an equal reaction to every force in the opposite direction of the original force. Thus, it basically states the equilibrium of forces.

Chapter-6 Friction

In this chapter, students will learn about friction. The friction force is a contact force, and it consists of two types of frictional forces- kinetic and static friction. The kinetic force of friction is friction between two solid objects in motion with respect to each other. The static force of friction is between two bodies that are in contact and stationary. The chapter elaborates on the laws of friction, a detailed understanding of friction, a method of measuring friction at the atomic level, and a laboratory method to measure static friction.

Chapter-7 Circular Motion

In this chapter of HC Verma, more information is given regarding motion in a circle. The chapter elaborates on the banking of roads, centrifugal force, and the centripetal force. In addition, the chapter discusses angular variables- Angular velocity defines the rate at which an angular location changes, angular acceleration defines the rate at which an angular velocity changes and tangential acceleration describes the rate at which a tangential velocity changes. Other topics discussed include unit vectors along the radius and the tangent, acceleration in a circular motion, uniform circular motion, centripetal acceleration, non-uniform circular motion, and dynamics of circular motion.

Chapter-8 Work And Energy

Students will learn in detail about energy and work in this chapter. First, the chapter emphasises topics such as work-energy theorem, calculations of work done, constant force, spring force, and work-energy theorem for a system of particles. Then, as we move into the second half of the chapter, we will discuss potential energy, conservative and non-conservative forces, change in potential energy during rigid body motion, gravitational potential energy, and compressed and extended springs' potential energy. The chapter also elaborates on different forms of energy. Finally, the chapter discusses work and relates energy to work. The questions are majorly based on the law of conservation of energy and conversion of energy from one form to another.

Chapter-9 Centre Of Mass, Linear Momentum, Collision

HC Verma's 9th chapter covers the following topics: the centre of mass, the centre of mass of two particles, the centre of mass of groups of particles, and the centre of mass of continuous bodies such as uniform semicircular wires and straight rods. There is also a discussion of the principles of linear momentum and conservation of momentum. The chapter further delves into rocket propulsion, collisions and collisions that are elastic, perfectly inelastic, and inelastic. Throughout this chapter, we also explore elastic collisions in one dimension, perfectly inelastic collisions in one dimension, coefficients of restitution, elastic collisions in two dimensions, impulses, and impulsive forces.

Chapter-10 Rotational Mechanics

Students learn about the rotation of rigid bodies about a fixed axis, kinematics, rotational motion, rotational dynamics, torques of forces around the axis of rotation, and bodies in equilibrium regarding rotational mechanics. In addition, various other topics are explained here. Examples include: the bicycle wheel turning on a horizontal axis, the conservation of angular momentum, torque power and work, the moment of inertia calculations, translation and rotation combined, riding a bicycle, among other fascinating topics. The topic establishes a clear relation between linear motion, mechanics involved in linear motion and rotational motion.

Chapter-11 Gravitation

The chapter on gravitation in HC Verma Volume 1 covers an overview of the gravitational force. The chapter also helps the students know about the measurement of the value of Gravitational Constant "G". The other topics covered involve the calculation of the gravitational potential, a relationship between the gravitational field and gravitational potential, a calculation of the gravitational field. This chapter also involves studying variation in the value of g, planets, and satellites, Kepler's laws, weightlessness in a satellite, escape velocity. Finally, there is a lot of information on upcoming concepts of gravitational binding energy, black holes, inertial and gravitational mass, and possible changes in the law of gravitation.

Chapter-12 Simple Harmonic Motions

This chapter deals with Simple Harmonic Motion. The SHM is defined as the motion of the body where the extreme positions of a body are equidistant from the equilibrium position, and the time taken is the same. Thus, the force on the body is directly proportional to the displacement of the particle performing SHM from the equilibrium position. The other topics discussed include quality of simple harmonic motion, equation of motion for SHM, terms associated with SHM, angular simple harmonic motion, physical pendulum, torsional pendulum, and simple pendulum. Moreover, this chapter also clarifies the ideas of damped harmonic motion, forced oscillation, and resonance.

Chapter-13 Fluid Mechanics

This chapter is the first instance where the student deals with mechanics that are not based on a rigid body. The chapter focuses on fluids, fluid pressure, Pascal's Law, atmospheric pressure, the barometer, Archimedes' Principle, and buoyant force, among many other exciting topics. A very important section of the fluid mechanics is constituted by the concepts of Fluid Flow, which include the Steady and Turbulent Flow, the irrotational flow of an incompressible and non-viscous Fluid. The Continuity Equation, Bernoulli's Equation, Bernoulli's Equation Applications are covered in the second half of the chapter.

Chapter-14 Some Mechanical Properties Of Matter

The chapter is primarily based on the material sciences. It discusses solids' molecular structure, and it judges solids based on concepts like elasticity, stress, and strain. Hooke's law and the modulus of elasticity are discussed in this chapter. Hooke's law states that for a given material within its elastic limit, the strain on the material is proportional to the stress applied to the material. Other topics in the chapter include Longitudinal stress and strain relationship, determination of Young's modulus in the laboratory, elastic potential energy of a strained body. Surface tension, surface energy, excess pressure inside a drop, excess pressure in a soap bubble, contact angle, and other aspects are also discussed. The liquid flow through a small tube with viscosity, Poiseuille's equation, and terminal velocity, Stokes' Law, are important concepts covered in the last part of the chapter.

Chapter-15 Wave Motion And Waves On A String

The chapter discusses wave motion, wave pulse on a string, travelling sine wave on a string, and wave velocity. The chapter teaches the student to calculate a sine wave's power transmitted along the string and explains the phenomenon of interference and the principle of superposition. Additionally, the chapter also covers waves travelling in the same direction, wave refraction and transmission. Furthermore, standing waves, sonometer, transverse and longitudinal waves, and wave polarisation are discussed in this chapter.

Chapter-16 Sound Waves

Chapter 16 of HC Verma discusses the nature and propagation of sound waves, waves of displacement and pressure, and sound wave intensity. The chapter elaborates on how sound appears to the human ear, interference of sound waves, and standing longitudinal waves. The phenomenon of the Doppler effect is explained in detail along with numerical problems, in addition to beats, diffraction, sonic booms, and musical scales.

Chapter-17 Light Waves

These chapters highlight Waves vs Particles, Huygens' Principle, and the use of Huygens' principle to explain the reflection of light. The chapter further focuses on the explanation of Young's Double Hole Experiment, Young's Double Slit Experiment, and the Interference from Thin Films experiment. The concept of interference is also shown using Fresnel's biprism. The student gets to know about the difference between coherent and incoherent sources. Apart from interference, diffraction of light is covered within this chapter. Other topics include fault lines, round apertures, slits, the limit of resolution, and scattering.

Chapter-18 Geometrical Optics

Chapter 18th of HC Verma covers subjects such as reflection at plane surfaces, spherical mirrors, the relation between object distance (u), image distance (v), and radius of curvature (R) for spherical mirrors. The second part of the chapter deals with the refraction of light at plane surfaces. The critical angle of any medium is defined as the angle when light travelling from that medium to a rarer medium is refracted at a 90° angle. It is also the angle after which total internal reflection takes place. The chapter further explains the application of total internal reflection in optical fibre. The dispersion of light due to the unique shape of the prism and the difference in the refractive indexes of the constituent colours of light is shown by refraction using the prism. Relation between Refractive index and angle of minimum deviation is also calculated. Refraction through spherical surfaces and lenses is explained along with the derivation of the lens maker's formula, commonly known as the lens formula. There are many other topics related to extended objects, lateral magnification, refraction through thin lenses in contact, power of the lens, refraction through two lenses separated by a distance. The last part of the chapter covers the defect of images, including monochromatic aberration and chromatic aberration.

Chapter-19 Optical Instruments

This chapter uses the concepts learned in the previous chapter and explains the applications of those concepts. First, it discusses the human eye along with its very basic anatomy. Then, the power of accommodation, minimum distance for clear vision and apparent size are discussed briefly. The defects of vision, including myopia, hypermetropia are discussed in the last part of the chapter. The chapter further discusses the simple microscope, compound microscope, and telescopes and explains its workings. The formula for the resolving power of microscopes and telescopes is also taught in the chapter.

Chapter-20 Dispersion And Spectra

This vital chapter discusses dispersion, dispersive power, dispersion without average deviation and average deviation without dispersion. These are all terms used to describe the difference between dispersion and average deviation. The chapter also elaborates on the formulas for dispersion without average deviation and average deviation without dispersion. The next part of the chapter is based on the spectrum, further divided into the pure and impure spectrum. The other division of spectrum gives Emission and Absorption Spectrum. Finally, the chapter ends with the discussion of Ultraviolet and Infrared Spectrum along with spectrometers and the application of spectrometers.

Chapter-21 Speed Of Light

In physics, the speed of light in a vacuum is a fundamental constant. The chapter begins with the historical introduction, followed by explaining the Fizeau Method, Foucault Method, and Michelson Method. The derivation of the speed of light by all these methods is also covered in this chapter by HC Verma.

Chapter-22 Photometry

This is a very short chapter where the students will learn about Total Radiant Flux, Luminosity of Radiant Flux, Luminous Flux: Relative Luminosity, Luminous Efficiency, Luminous Intensity or Illuminating Power, Illuminance, Inverse Square Law, Lambert's Cosine Law, and Photometers.

FAQs of Aakash HC Verma Solutions of Volume 1

Ques 1: Why is HC Verma Volume 1 considered important for the students, and how are the solutions by the Aakash Institute helpful?
HC Verma Volume one consists of the concepts of classical mechanics which have been used to develop the current technologies. Science students must have a crystal clear understanding of these concepts for the higher classes. The solutions by the Aakash Institute help clear the doubts that the students have in the questions of these topics that are given for practice in the HC Verma volume 1. If the students get stuck on a problem and cannot work their way out or get an easy or satisfactory answer, their confidence takes a hit, and their interest in the subject declines. The solutions by Aakash Institute helps them out at this hurdle and keeps their morale high to keep practising and learning new concepts.

Ques 2: What is the cost of the Aakash HC Verma Solutions for Volume 1?
The HC Verma Solutions by the Aakash Institute are available in PDF format on their official website. The Institute provides these solutions free of cost to ensure that students with fewer means also have access to high-standard material and their learning is augmented at the highest possible level.

Ques 3: What is the ideal way to use HC Verma Solutions for Volume 1?
The ideal way to use the HC Verma Solutions for Volume 1 is to first go through the book, read and understand the theory, derivations and the worked-out examples. The next step is to download the solutions provided by the Aakash Institute for their official website and start solving the questions in the textbook. Once you get stuck on any question, you can take the help of the solutions to understand the correct method to solve those questions. Once you are done with all the questions, you must go through the entire solutions for that chapter and analyse the difference in the methods used by you and the ones in the solutions. Choose the easier one and practice those questions once more.