TRIUMPH PHYSICS Content - Target Publications

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Written in accordance with the topics based on new syllabus XII Sci.(Maharashtra State Board)MHT-CETTRIUMPHontentPHYSICSSalient FeaturesIncludes chapters of Std. XII as per latest textbook of 2020. Exhaustive subtopic wise coverage of MCQs. 4754 MCQs including questions from various competitive exams. Notes, Shortcuts, Mindbenders, Formulae provided in each chapter. Includes MCQs from JEE (Main) (8th April, shift 1), NEET (UG), NEET (Odisha), MHT-C CET (6th May, Afternoon) 2019 and JEE (Main) (7th January, shift 1) 2020.Includes MCQs from JEE (Main), NEET and MHT-CET upto 2018. Various competitive examination questions updated till the latest year. Evaluation test provided at the end of each chapter.plInclusion of ‘The physics of .’ to engage students in scientific enquiry.m e SaScan the adjacent QR code or visit www.targetpublications.org/tp1628 to downloadHints for relevant questions and Evaluation Test in PDF format.Printed at: Print to Print, Mumbai Target Publications Pvt. Ltd.No part of this book may be reproduced or transmitted in any form or by any means, C.D. ROM/Audio Video Cassettes or electronic, mechanicalincluding photocopying; recording or by any information storage and retrieval system without permission in writing from the Publisher.Balbharati Registration No.: 2018MH0022TEID: 1628P.O. No. 1106

PREFACE“Don’t follow your dreams; chase them!”- a quote by Richard Dumbrill is perhaps the most pertinent for onewho is aiming to crack entrance examinations held after std. XII. We are aware of an aggressive competition astudent appearing for such career defining examinations experiences and hence wanted to create books thatdevelop the necessary knowledge, tools and skills required to excel in these examinations.ontentFor the syllabus of MHT-CET 2020, 80% of the weightage is given to the syllabus for XIIth standard whileonly 20% is given to the syllabus for XIth standard (with inclusion of only selected chapters). Since there is noclarity on the syllabus for MHT-CET 2021 till the time when this book was going to be printed and taking thefact into consideration that the entire syllabus for std. XIIth Science has always been an integral part of MHTCET syllabus, this book includes all the topics of std. XIIth Physics.We believe that although the syllabus for Std. XII and MHT-CET is aligned, the outlook to study the subjectshould be altered based on the nature of the examination. To score in MHT-CET, a student has to be not justgood with the concepts but also quick to complete the test successfully. Such ingenuity can be developedthrough sincere learning and dedicated practice.Having thorough knowledge of theory, derivations and their applications is a prerequisite for beginning withMCQs on a given chapter in Physics. Students must know formulae, conversion factors, units and dimensionsof physical quantities involved in the chapter. Physics is conveyed using mathematics, therefore, studentsshould study essential mathematical concepts such as trigonometric functions, identities, derivatives andintegration rigorously. They should befriend ideas of tangent, slope, area under the curve and nature of variousplots and their equations to resolve graphical intricacy of Physics. It should be kept in mind that every singleline of text has potential of generating several MCQs.CAs a first step to MCQ solving, students should start with elementary questions. Once a momentum is gained,complex MCQs with higher level of difficulty should be practised. Questions from previous years as well asfrom other similar competitive exams should be solved to obtain an insight about plausible questions.The competitive exams challenge understanding of students about subject by combining concepts fromdifferent chapters in a single question. To figure these questions out, cognitive understanding of subject isrequired. Therefore, students should put in extra effort to practise such questions.ePromptness being virtue in these exams, students should wear time saving short tricks and alternate methodsupon their sleeves and should be able to apply them with accuracy and precision as required.plSuch a holistic preparation is the key to succeed in the examination!To quote Dr. A.P.J. Abdul Kalam, “If you want to shine like a sun, first burn like a sun.”mOur Triumph Physics book has been designed to achieve the above objectives. Commencing from basicMCQs the book proceeds to develop competence to solve complex MCQs. It offers ample practice of recentquestions from various competitive examination. While offering standard solutions in the form of concise hints,it also provides Shortcuts and Alternate Methods. Each chapter ends with an Evaluation test to allow selfassessment.Features of the book presented on the next page will explicate more about the same!SaWe hope the book benefits the learner as we have envisioned.The journey to create a complete book is strewn with triumphs, failures and near misses. If you think we’venearly missed something or want to applaud us for our triumphs, we’d love to hear from you.Please write to us on: mail@targetpublications.orgA book affects eternity; one can never tell where its influence stops.From,PublisherEdition: FirstBest of luck to all the aspirants!

FEATURESFormulaeAngular velocity:i.ω iii.ω 2πn2.Angular displacement:i.θ ωtiii.θ 2πntvrFormulaeii.iv.ii.θt2πω Tω θ NotesNotes Qm T2.Since specific heat C i.In isothermal expansion, T being zero, specificheat is .For an adiabatic change, Q being zero, specificheat is zero.CNotesprovidescompilationofcomprehensive points which elaboratetextual concepts or cover missingfragments of concept essential for thecompleteunderstandingof theconcept.This is our attempt to offer gist ofknowledge required from examinationpoint of view.2πtTFormulae includes key formulae of thechapter.This is our attempt to make tools offormulae accessible for the studentswhile solving problems and revising atlast minute at a glance.ontent1.pleii.MindbendersKirchhoff’s laws are applicable for DC as well asAC circuits. They can be accurately used for DCcircuits and low frequency AC circuits. In case ofAC though, summation of current should be donein vector form or using instantaneous value for theAC components of the simportanttheoretical or formula based shorttricks considering their utility insolving MCQ.This is our attempt to highlightcontent that would come handywhile solving questions.Mindbenderspresentsthoughtprovoking snippets of concepts.This is our attempt to enable thestudents perceive underlying depthand implications of concept.Shortcuts1.i.For a particle executing S.H.M:From mean position in order to travel half ofamplitude, time required is given by, t ii.T12From extreme position, in order to travel half ofamplitude, time required is given by, t Ts6

FEATURESClassical ThinkingClassical Thinking3.1 IntroductionA gas is not an ideal gas(A) in which there is impurity.(B) which does not obey Boyle's law and Charles’law.(C) whose molecules are not point masses.(D) whose molecules interact each other.Classical Thinking section encompassesstraight forward questions includingknowledge based questions.This is our attempt to revise chapter inits basic form and warm up the studentsto deal with complex MCQs.ontent1.Critical ThinkingCritical Thinking6.21.Progressive WaveA travelling wave passes through a point ofobservation. At this point, the time intervalbetween successive crests is 0.2 s, then,(A) wavelength is 5 m.(B) frequency is 5 Hz.(C) velocity of propagation is 5 m/s(D) wavelength is 0.2 m.CCritical Thinking section encompasseschallenging questions which testunderstanding, rational thinking andapplication skills of the students.This is our attempt to take the studentsfrom beginner to proficient level insmooth steps.According to corpuscular theory of light which isNOT the property of light?[MHT CET 2019](A) The velocity of light in air is greater than inglass.(B) Light travels in straight lines.(C) The velocity of light does not change afterreflection.(D) The velocity of light changes after reflection.Sam1.Competitive ThinkingNature of Lightpl7.2eCompetitive ThinkingSubtopic wise segregationEvery section is segregated sub-topicwise.This is our attempt to cater toindividualistic pace and preferences ofstudying a chapter in the students andenable easy assimilation of questionsbased on the specific concept.CompetitiveThinkingsectionencompasses questions from variouscompetitiveexaminationslikeMHT CET, JEE, AIPMT/NEET-UG, etc.This is our attempt to give the studentspractice of competitive questions andadvance them to acquire knack essentialto solve such hhoff’s Laws of Electrical NetworkWheatstone BridgePotentiometerGalvanometer

FEATURESMiscellaneousθ(A)(C)θ2Aρgcot θIAρgsin θI(B)(D)Evaluation test2Aρgtan θIAρgcos θ2IMiscellaneousEvery section, in general, ends with asub-topic; miscellaneous.Miscellaneous incorporates MCQswhose solutions require knowledge ofconceptscoveredindifferentsub-topics of same chapter or fromdifferent chapters.This is our attempt to develop cognitivethinking in the students essential tosolve questions involving fusion ofmultiple key concepts.ontentA wire of cross-sectional area A forms 3 sides of asquare and is free to turn about axis XX′. If thestructure is deflected by θ from vertical whencurrent I is passed through it, in a magnetic field Bacting vertically upward and density of wire is ρ,the value of B is given byBXX′C93.1.The ratio of areas within the electron orbits for thefirst excited state to the ground state for hydrogenatom is(A) 16 : 1(B) 18 : 1(C) 4 : 1(D) 2 : 1mpleEvaluation Test covers questions fromchapter for self-evaluation purpose.This is our attempt to provide thestudents with a practice test and helpthem assess their range of preparationof the chapter.Evaluation TestThe physics of .SaHow a loudspeaker produces sound .Loud speakers help us to listen to wonderful music. Whatmechanism in them makes them produce the sound?The answer is at the end of this chapter.The physics of .The physics of . illustrates real lifeapplications or examples related to theconcept discussed.This is our attempt to link learning to thelife and make the students conscious of howPhysics has touched entire spectrum of life.

CONTENTSChapter No.Chapter NamePage No.Rotational Dynamics12Mechanical Properties of Fluids523Kinetic Theory of Gases and sition of Waves7Wave Optics8Electrostatics9Current Electricity10Magnetic Fields due to Electric Current29911Magnetic Materials33212Electromagnetic Induction34713AC Circuits37014Dual Nature of Radiation and Matter15Structure of Atoms and Nuclei40816Semiconductor erThis reference book is transformative work based on XIIth std. textbook Physics; First edition: 2020 published by the Maharashtra State Bureau ofTextbook Production and Curriculum Research, Pune. We the publishers are making this reference book which constitutes as fair use of textualcontents which are transformed by adding and elaborating, with a view to simplify the same to enable the students to understand, memorize andreproduce the same in examinations.This work is purely inspired upon the course work as prescribed by the Maharashtra State Bureau of Textbook Production and Curriculum Research, Pune.Every care has been taken in the publication of this reference book by the Authors while creating the contents. The Authors and the Publishers shall not beresponsible for any loss or damages caused to any person on account of errors or omissions which might have crept in or disagreement of any third party onthe point of view expressed in the reference book. reserved with the Publisher for all the contents created by our Authors.No copyright is claimed in the textual contents which are presented as part of fair dealing with a view to provide best supplementary study material forthe benefit of students.

TextbookChapter No.Chapter 01: Rotational Dynamics01aSubtopicsontentRotational Dynamics1.1Introduction1.2Characteristics of Circular Motion1.3Applications of Uniform Circular Motion1.4Vertical Circular Motion1.5Moment of Inertia as an Analogous Quantity for Mass1.6Radius of Gyration1.7Theorem of Parallel Axes and Theorem of PerpendicularAxesAngular Momentum or Moment of Linear Momentum1.9Expression for Torque in Terms of Moment of InertiaC1.81.10 Conservation of Angular Momentume1.11 Rolling MotionplFormulae1.Angular velocity:i. iii. 2 n2.Angular displacement:i. tiii. 2 nt3.Angular acceleration:i. 4.i.Linear velocity:v r ii.v 2 nr5.CentripetalvrSamii. 2 1tii.ii. accelerationacceleration: a 6.iv. t2 T 2 tT2 (n2 n1)torv2 2rr Tangential acceleration: a T rradialRiding on a vertical circular arc, thisroller coaster fans experience a net forceand acceleration that point towards thecentre of the circle7.Centripetal force:i.FCP iii.FCP mr4 2 n28.Centrifugal force: FCF FCP9.Inclination of banked road: tan 1 10.i.On unbanked road:Maximum velocity of vehicle to avoid skiddingon a curve unbanked road: vmax rgii.Angle of leaning: tan 1 11.On banked road:i.Upper speed limit: vmax rg ii.Lower speed limit: vmin rg mv2rii.FCP mr 2iv.FCP 4 2mrT2 v2 rg v2 rg μ s tanθ 1 μ s tanθ tanθ μ s 1 μ s tanθ 1

MHT‐CET Triumph Physics (MCQs)iii.rg tan vmax (in absence of friction)15.12.Height of inclined road: h l sin 13.i.Conical Pendulum:Angular velocity of the bob of conical pendulum,gL cos T 2 For mass tied to string:Minimum velocity at lowest point to completeV.C.M: vL 5rgii.Minimum velocity at highest point to completeV.C.M: vH rgiii.Minimum velocity at midway point to completein V.C.M: vM 3rgiv.Tension at highest point in V.C.M:mv 2mriii.18.From principle of parallel axes: Io Ic Mh219.From principle of perpendicular axes:IZ IX IY20.Angular momentum of a body: L I I(2 n)21.From principle of conservation of angularmomentum:ii.I1n1 I2n2I1 1 I2 2Torque acting on a body:dL I dtd n n I 2 I 2 1 dt t Difference between tension at lower most anduppermost point:TL TH 6 mg2ghK21 2R23.Velocity of rolling body: v 24.Acceleration of rolling body: a plvii.IM K2 11222 1 K.Erolling [Mv I ] Mv R 2 22ii.emv2L mgr dmr 21 2 1I I (2 n)22212K.Etranslational Mv2i.Tension at lowest point in V.C.M:TL i 1K.Erotational i.Tension at midway point in V.C.M:vi.Kinetic energy:22.mv2H mgrTM 17.2i iCv.Radius of gyration: K ii.L cos g14.i.TH 16.i.Period of conical pendulumn m rontentii.Moment of Inertia: I g sin θK21 2RmTable 1: Analogy of translational motion and rotational motionLinear or Translational motionS.I. UnitsmSpeedvms umWorkKineticenergyPower2dsdtdva dtv mF dP madt P mvW FsEk 1mv22 P Fv or F . vRotational motionAngular DisplacementAngular Speed ms 1Angular velocityms 2Angular accelerationkgM.I.NTorque or couple 1kgmsJS.I. Unitradrad s 1d dtd dtrad s 1 rad s 2 I mr2 I Angular momentumWorkJRotational EnergyWPowerkg m2dLdtNmL I W ERot 1 2 1I LI22 P or . kg m2 s 1JJW

Chapter 01: Rotational DynamicsTable 2: Moment of inertia of different bodiesNo.i.Shape of regular bodyRod of mass M andlength L (thin rod)Axis of rotationCentre of rod and perpendicular to length.Moment of InertiaML212One end and perpendicular to length.Circular ring of mass Mand radius RLine passing through its centre and perpendicular toits plane.Any diameter.MR2ontentii.ML231MR223MR22Any tangent in the plane of the ring.iii.Circular disc of mass Mand radius R2 MR21MR221MR245MR243MR22Any tangent perpendicular to the plane of the ring.Through centre, perpendicular to plane of disc.Any diameter.Tangent in the plane of the disc.Tangent perpendicular to plane of disc.Solid sphere of mass Mand radius RAny diameter.2MR25Civ.Any tangent.7MR252MR23Hollow sphere of mass Mand radius RAny diametervi.Solid cylinder of mass M,radius R and length LAxis passing through its centre and parallel to itslength.ev.1MR22Through centre perpendicular to length.Hollow cylinder of massM, radius RAnnular ring or thickwalled hollow cylinderUniform symmetricspherical shellAxis passing through its centre and parallel to itslengthAxis passing through its centre and perpendicular toits planeAny diameterUniformplateorrectangular parallelepipedAxis passing through its centre of the side andperpendicular to its planemviii.plvii.ix.Sax. R 2 L2 M 4 12 MR2I 1M r22 r12 2 r5 r5 I 2 M 23 135I r2 r1 1M(L2 b2)12Table 3: Table representing the graphs of different parameters of rotational motionSr.No.1.Graph ofK.E.rotational v/s where, angular velocityFormulaK.E.rot 1 2I 2i.e.K.E.rot 2 if I is constantGraphYErO X3

MHT‐CET Triumph Physics (MCQs)2.II MK2 i.e. I K2I v/s Kwhere,K radius of gyrationKL v/s where,L angular momentumL I i.e. L YLontent3.O4.K.E.rotational v/s LK.E.rot L22I XYEri.e. K.E.rot L2 if I is constantX 5.log (K.E.rot) v/s log (L)K.E.rot LXYL22IlogErXlog Li.e. log (K.E.rot) 2 log (L) log(2 I)OI MKi.e. log(I) log(M) 2log(K)Ylog IClog (I) v/s log (K)e6.2Olog KXTable 4: Kinetic energy distribution table for different rolling bodiesTranslationalplK2R2Ring and Cylindrical shell1mBody122523Disc and solid cylinderSaSolid sphereHollow sphere(KT) 1mv 221 2mv21 2mv21 2mv21 2mv2Rolling (KRoll)Rotational (KR) 21 2Kmv 22R 1 2mv21 2mv41 2mv51 2mv3 1K2 mv 2 1 2 2R mv23mv247mv2105mv26Table 5: Velocity, Acceleration and Time of descent for Different BodiesBodyVelocity v 2ghK21 2RAcceleration a gsin K2 1 2 R Time of descent t 12h K2 1 2 sin g R Ring or Hollow cylindergh1gsin 214hsin gDisc or solid cylinder4gh32gsin 313hsin g4

Chapter 01: Rotational DynamicsSolid sphereHollow sphere10gh75gsin 71 14 hsin 5 g6gh53gsin 51 10 hsin 3 gTable 6: Rolling, Sliding and Falling bodiesRollingVelocityAccelerationTime2ghK21 2Rgsin K2 1 2 R 12h K 2 1 sin g R 2 g sin 12hsin g2ghSliding2ghFallingNotes1. ontentMotiong8.The radius of the curved path is the distancefrom the centre of curved path to the centre ofgravity of the body. It is to be considered whenthe centre of gravity of body is at a height fromthe surface of road or surface of spherical body.9.Whenever a car is taking a horizontal turn, thenormal reaction is at the inner wheel.In U.C.M., angular velocity is only constant vector but angular acceleration C and angular displacement are variable10.While taking a turn, when car overturns, itsinner wheels leave the ground first.11.For a vehicle negotiating a turn along acircular path, if its speed is very high, then thevehicle starts skidding outwards. This causesthe radius of the circle to increase resulting inthe decrease in the centripetal force. vectors.The value of of earth about its axis is7 10 5 rad/s or 360 per day.3.Circular motion is a two-dimensional motion inwhich the linear velocity and linear accelerationvectors lie in the plane of the circle but theangular velocity and angular accelerationvectors are perpendicular to the plane of thecircle.mple2.An observer on the moving particle experiencesonly the centrifugal force, but an observerstationary with respect to the centre canexperience or measure only the centripetalforce.Sa4.5.6.7.2hg[ Fcp 12.If a body moves in a cylindrical well (well ofdeath) the velocity required will be minimumsafest velocity and in this case the weight of thebody will be balanced by component of normalreaction and the minimum safest velocity isgiven by the formula rg .13.If a body is kept at rest at the highest point ofconvex road and pushed along the surface toperform circular motion, the

For the syllabus of MHT-CET 2020, 80% of the weightage is given to the syllabus for XIIth standard while only 20% is given to the syllabus for XIth standard (with inclusion of only selected chapters). Since there is no

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