Kendriya Vidyalaya Sangathan New Delhi Numerical-Books Pdf

KENDRIYA VIDYALAYA SANGATHAN NEW DELHI NUMERICAL
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FOREWORD, This small pocket book on numerical problems has been designed. to help students of Class XII to improve their performance in. solving numerical problems and improving their individual scores . Numericals are an important part of Physics and many students. score less than their potential because of neglecting this area This. book prepared by Mr M Gopala Reddy PGT Physics of ZIET. Mumbai can be used as a regular workbook in class or can be used. as a resource book and kept in the library , My earnest request to the Principals and teachers is to ensure that. this resource material reaches the individual student Please do. send us your feedback so that the errors and shortcomings if any . can be overcome , Wishing all my dear students of Kendriya Vidyalayas the very best. of luck for their crucial board exams , USHA ASWATH IYER. DIRECTOR, KVS ZIET MUMBAI, 2, INDEX, SUBJECT PHYSICS CLASS XII.
UNIT No NAME OF THE UNIT PAGE NO , 1 ELECTROSTATICS 5. 2 CURRENT ELECTRICITY 17, MAGNETIC EFFECTS OF CURRENT AND. 3 33, MAGNETISM, 4 ELECTROMAGNETIC INDUCTION AND A C 48. 5 ELECTROMAGNETIC WAVES 61, 6 OPTICS 64, 7 DUAL NATURE OF MATTER AND RADIATION 78. 8 ATOMIC NUCLEI 91, 9 ELECTRONIC DEVICES 104, 10 COMMUNICATION SYSTEM 113.
3, KENDRIYA VIDYALAYA SANGATHAN NEW DELHI, KENDRIYA VIDYALAYA SANGATHAN REGIONAL OFFICE . WORK SHEET FOR SOLVING NUMERICAL PROBLEMS IN PHYSICS. NAME OF THE UNIT CLASS XII, NAME OF THE CHAPTER S . NAME OF THE KENDRIYA VIDYALAYA , NAME OF THE STUDENT ROLL NO . DATE OF ISSUE OF WORK SHEET DATE OF SUBMISSION , . SIGNATURE OF THE PARENT SIGNATURE OF THE STUDENT , GRADE MARKS NAME OF THE SUBJECT TEACHER .
SIGNATURE OF THE SUBJECT TEACHER, COUNTER SIGNATURE OF THE PRINCIPAL VICE PRINCIPAL. 4, UNIT I ELECTROSTATICS, IMPORTANT FORMULAE, 1 Electrostatic force between two charges. , , , For air , , Fair , , , , 2 Electric field intensity due to a point charge . , 3 Electric field intensity due to infinite linear charge density . , , , 4 Electric field intensity near an infinite thin sheet of surface charge density.
, , , , , For thick sheet , , , 5 Electric potential . , , Electric potential due to a point charge , . , 6 Relation between electric field and potential numerically . , 7 Dipole moment , , 8 Torque on a dipole in uniform electric field . , , , 9 Potential energy of dipole , 10 Work done in rotating the dipole in uniform electric field from orientation Q1.
to Q2 is, , 11 Electric field due to a short dipole. , i at axial point , , , ii at equatorial point . , 12 Electric potential due to a short dipole, , i At axial point . , ii At equatorial point , , 13 Dielectric constant . , 14 Capacitance of parallel plate capacitor, , i in medium of dielectric constant K.
, 5, , ii if space between plate partially filled with dielectric of. , , thickness t , 15 Combination of capacitors . , i In series , , ii In parallel C , 16 Energy stored by capacitor. , , , 17 Electrostatic energy density, , in air. , , in medium, , , 18 Total electric flux , .
, 6, NUMERICALS, LEVEL I, 1 What is the charge acquired by a body when 1 million electrons are transferred to. it , , , , , , 2 An attractive force of 5N is acting between two charges of 2 0 C 2 0 C. placed at some distance If the charges are mutually touched and placed again at. the same distance what will be the new force between them . , , , 3 A charge of 3 0 x 10 6 C is 0 25 m away from a charge of 6 0 x 10 6C . a What is the force on the 3 0 x 10 6 C charge , b What is the force on the 6 0 x 10 6 C charge . , , , , 4 An electric dipole consist of a positive and a negative charge of 4 C each placed.
at a distance of 5mm Calculate dipole moment , , . , , 5 Three capacitors of capacitances 2 F 3 F and 4 F are connected in parallel . What is the equivalent capacitance of the combination Determine charge on. each capacitor if the combination is connected to 100V supply . , , , , 7, 6 An electric dipole with dipole moment 4x10 9C m is aligned at 300 with direction. of electric field of magnitude 5x104N C Calculate the magnitude of the torque. acting on the dipole , , , 7 A point charge of 2 C is at the centre of cubic Gaussian surface 9 0 cm in edge . What is the net electric flux through the surface . , , , 8 What is the amount of work done in moving a 200nC charge between two points.
5 cm apart on an equipotential surface , , , 9 How much work must be done to charge a 24 F capacitor when the potential. difference between the plates is 500 V , , , , 10 What is the equivalent capacity of the network given below . , , 8, LEVEL II, 1 What is the work done in moving a charge of 100 C through a distance of 1cm. along the equatorial line of dipole , , , 2 The given graph shows that variation of charge q versus potential difference V for. two capacitors C 1 and C2 The two capacitors have same plate separation but the. plate area of C2 is double than that of C1 Which of the lines in the graph. correspond to C1 and C2 and why , , , , , 3 Two point charges 5 C and 4 C are separated by a distance of 1 m in air At.
what point on the line joining the charges is the electric potential zero . , , , , 4 Two charges 5 C and 20 C are placed 15 cm apart At what point on the line. joining the two charges is the electric field zero . , , , , 5 Two charges 16 C and 9 C are placed 8 cm apart At what point on the line. joining the two charges is the electric field zero . , , , , 6 A 600 pF capacitor is charged by a 200 V supply It is then disconnected and. from the supply and is connected to another uncharged 600 pF capacitor How. much electrostatic energy is lost in the process . 9, , , , , , 7 Keeping the voltage of the charging source constant what will be the. percentage change in the energy stored in a parallel plate capacitor if the. separation between its plates were to be decreased by 10 . , , , , 8 Four charges are placed at the vertices of a square of side d as shown in the.
figure i Find the work done to put together this arrangement ii A charge q 0is. brought to the center E of the square the four charges being held fixed at its. corners How much extra work is needed to do this . , , , , , 9 If S1 and S 2 are two hollow spheres enclosing charges Q and 2Q respectively as. shown in the figure, i What is the ratio of the electric flux through S1 and S2 . 10, ii How will the flux through the sphere S 1 change if a medium of dielectric. constant 5 is filled in the space inside S 1 , , . , , 10 A charge of 24 C is given to a hollow sphere of radius 0 2m Find the potential.
i at the surface of the sphere and, ii at a distance of 0 1 m from the centre of the sphere . iii at the centre, , , , , LEVEL III, 1 A slab of material of dielectric constant has the same area as the plates of a. parallel plate capacitor but has a thickness 3d 4 where d is the separation of. the plates How is the capacitance changed when the slab is inserted between. the plates , , , , , 2 A parallel plate capacitor with air between the plates has a capacitance of 8 F . What will be the capacitance if the distance between the plates is doubled and. the space between them is filled with a substance of dielectric constant K 6 . , , , , 3 Two dipoles made from charges q and Q respectively have equal dipole. moments Give the i ratio between the separations of these two pairs of. charges ii angle between the dipole axis of these two dipoles . , , , , 11, 4 The capacitors C1 and C2 having plates of area A each are connected in.
series as shown Compare the capacitance of this combination with the. capacitor C3 again having plates of area A each but made up as shown in the. figure , , , , , 5 A point charge 10 C is at a distance 5cm directly above the centre of a square. of side 10cm as shown in fig What is the magnitude of flux through the square . , , , , 6 Calculate equivalent capacitance of the given network and determine the charge. and voltage across each capacitor , , , , , 12. 7 Two identical charges Q each are kept at a distance r from each other A third. charge q is placed on the line joining the two charges such that all the three. charges are in equilibrium What is magnitude sign and position of the charge q . , , , , 8 ABCD is a square of side 5m Charges of 50C 50C and 50C are placed at. A C and D respectively Find the magnitude of resultant electric field at B . , , , , 9 A cube with each side a is kept in electric field given by E Cx as shown in the.
figure where C is a positive dimensional constant Find. i The electric flux through the cube and, ii The net charge inside the cube . , , , , 13, 10 Two parallel plate capacitor X and Y have same area of plates and. same separation between them X has air between the plates whereas Y has a. dielectric of constant k 4, i Calculate capacitance of each capacitor if equivalent capacitance is4 F . ii Calculate potential difference between the plates of X and Y . iii What is the ratio of electrostatic energy stored in X and Y . , , , , , , , , , 14, UNIT I ELECTROSTATICS. ANSWERS, LEVEL I, 1 Q Ne 1 6 x10 13C, 2 F 0, 3 FAB FBA 2 736N.
4 P 2x10 8 C m, 5 9 F 0 02 C 0 03 C 0 04 C, 6 10 4Nm. 7 2 26x105Nm2 C, 8 W 0, 9 W 3J, 10 C 15 F, LEVEL II. 1 0, 2 A, 5, 3 from 5 C charge, 9, 4 5 cm from 5 C charge. 5 24cm from 9 C charge, 6 6x10 6 J, 7 11 11 , 2, 8 4 2 0. 4 0, , 9 1 3 , 5 0, 10 i 1 08x106V ii 1 08x106V iii 1 08x106V.
LEVEL III, 4 , 1 , 3 0, 2 24 F, 3 q a Q A or a A Q q 0. 4 C3 C eq, 5 1 88x105Nm2 C, 200, 6 100 V 50V 50V 200V 10 8C 10 8C 10 8C 2x10 8 C. Numericals are an important part of Physics and many students score less than their potential because of neglecting this area This book prepared by Mr M Gopala Reddy PGT Physics of ZIET Mumbai can be used as a regular workbook in class or can be used as a resource book and kept in the library

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