QUESTION BANK FOR PHYSICS FOR CLASS XII LIST OF
LIST OF MEMBERS WHO PREPAREDQUESTION BANK FOR PHYSICS FOR CLASS XIISl. No.NameDesignation1.Sh. V.K. GaurPrincipalR.P.V.V., Shankaracharya Marg,Delhi-1100542.Sh. Pundrikaksh KaudinyaVice PrincipalR.P.V.V., Rajniwas Marg,Delhi-1100543.Ms. Girija ShankarPGT (Physics)R.P.V.V., Surajmal ViharDelhi-1100924.Mr. Kulbir Singh AntilPGT (Physics)R.P.V.V., Kishan Ganj,Delhi-1100075.Mr. Devendra KumarPGT (Physics)R.P.V.V., Yamuna Vihar,Delhi-1100536.Ms. Madhu GuptaPGT (Physics)R.P.V.V., Lajpat NagarDelhi-1100241XII – Physics
S.No.ChapterPage1.Electrostatics2.Current Electricity203.Magnetic Effects of Current and Magnetism414.Electromagnetic Induction and Alternating Currents595.Electromagnetic Waves776.Optics827.Dual Nature of Matter and Radiation988.Atoms and Nuclei1049.Electronic Devices116Communication Systems13010.3Sample Papers1372XII – Physics
UNIT IWeightage – 8 MarksElectric charges, Conversation of charges, Coulomb’s Law; Force between two points charges,forces between multiple charges, Superposition Principle.Continuous charge distribution.Electric field, electric field due to a point charge electric field lines, electric dipole, electric field dueto dipole; torque on a dipole in uniform electric field.Electric flux, statement of Gauss Theorem and its applications to find field due to infinitely longstraight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell (fieldinside and outside)Electric Potential, Potential difference, electric potential due to a point charge, a dipole and systemof charges, equipotential surfaces, electrical potential energy of a system of two point charges andof electric dipole in an electrostatic field.Conductors and Insulators, free charges and bound charges inside a conductor, Dielectric andelectric polarization, Capacitors and Capacitance, combination of capacitances in series and parallel.Capacitance of a parallel plate capacitor with or without dielectirc medium between the platesenergy stored in a capacitor, Van de Graff Generator.Physical QuantityFormulae UsedSI UnitQuantization of chargeq neCCoulomb’s forceFKq1q2NF12In vector fromDielectric constant (or relative permitivity)Hence F0KDrr2Kq1q2 Kq1q2 r 21r212r 21r 321F0Fmm0CmC00mE0EmrFm as free space has minimum permittivity3XII – Physics
qLqALinear charge densitySurface charge densityElectric field due to a point charge ECm–1Cm–2Ftheoretical0 q0Ltq0Kq1Innumerical, we useEThe components of electric field,ExTorque on a dipole in a uniform electric fieldEzElectric dipole momentPotential energy of a dipole in a unifor electric field14qxr30 P1,E y1 qz4 0 r3 p E orr2qy40r3NC–1NmCmpE sin 2a or pq,q 2aJ U – p El or U – pE cos14 E0EaxialElectric field on axial line of an electric dipoleWhen 2ar – a24Electric field on equatorial line of an electric dipoleWhen 2aq 2a0EVAVElectric potential due to a system of chargesVa, VWhen,41 p4 E0 r 3WABq01 q4 E0 rAVolts (or JC–1)Wq1 n qi4 E0 i 1 ri1P cos4 E0 r 2 – a2 cos2When,If r32r 2 a2dVdrVB – VAElectric potential at a pointNC–1r,EequatorialElectric field as a gradient of potentialElectrical potential differences between points A & B21 2p4 E0 r 3r,Eaxial1EequatorialElectric potential at any point due to an electric dipole2pr20 or77, V1p4 E0 r 2 – a 21 p4 E0 r 290 , Vequi 0XII – Physics
E.dS EndSTotal electric flux through a closed surface SNm2 C–1q E Effective Area E01EElectric field due to line charge2EElectric field due to an infinite plane sheet of charge02NC–1(or V/m)r0EElectric field due to two infinitely charged plane parallel0sheetsElectric field due to a uniformly charged spherical shellR2Er20Whenr R,002Whenr R, E 4 rqVCElectrical capacitanceF(SI Unit)Capacitance of an isolated sphereC 4Capacitance of a parallel plateCCapacitors in series1 11C C1 C2Capacitors in parallelC C1 C2 C3Capacitance of a parallel plate capacitor with dielectricC0A0F (Practical Unit)r0d01C3Ad – t 1–1KDslab between platesCCapacitance of a parallel plate capacitor with conductingslab between platesEnergy stored in a charged capacitorUResultant electric field in a polarised dielectric slab EC0t1–dq22C11CV 2qV22 E0E p , whereJCm–1 E 0 Applied electric field and E p Electric field due to polarizationPolarization densityP nDielectric constant (in terms of electric susceptibility oratomic polarisability)KD 1 5E EVm–1 or Nc–1XII – Physics
Vr0 – VRPotential difference between inner and outer shell inq1 1–4 Eo ro RVolts (or JC–1)van de Graaff generator1.Draw schematically an equipotential surface of a uniform electrostatic field along X axis.2.Sketch field lines due to (i) two equal positive charges near each other (ii) a dipole.3.Name the physical quantity whose SI unit is volt/meter. Is it a scalar or a vector quantity?4.Two point charges repel each other with a force F when placed in water of dielectric constant 81.What will the force between them when placed the same distance apart in air? Ans. : (81F)5.Electric dipole moment of CuSO4 molecule is 3.2 10–32 Cm. Find the separation between copperand sulphate ions.Ans. : (10–3m)6.Net capacitance of three identical capacitors connected in parallel is 12 microfarad. What will bethe net capacitance when two of them are connected in (i) parallel (ii) series?Ans. : Cp 8 f Cs 2 f7.A charge q is placed at the centre of an imaginary spherical surface. What will be the electric fluxdue to this charge through any half of the sphere.Ans : q/2 08.Draw the electric field vs distance (from the centre) graph for (i) a long charged rod raving linearcharge density 0 (ii) spherical shell of radius R and charge Q 0.9.Diagrammatically represent the position of a dipole in (i) stable (ii) unstable equilibrium whenplaced in a uniform electric field.10.A charge Q is distributed over a metal sphere of radius R. What is the electric field and electricpotential at the centre?Ans. : E 0, V kQ/R11.If a body contains n1 electrons and n2 protons then what is the total charge on the body?Ans. : (n2 n2)e12.What is the total positive or negative charge present in 1 molecule of water.13.How does the energy of dipole change when it in rotated from unstable equilibrium to stableequilibrium in a uniform electric field.Ans. : decreases14.Write the ratio of electric field intensity due to a dipole at apoint on the equatorial line to the fieldat a point at a point on the axial line, when the points are at the same distance from the centreof dipole.15.Draw equipotential surface for a16.An uncharged conductor A placed on an insulating stand is brought near a charged insulatedconductor B. What happens to the charge and potential of B?Ans : charge same, p.d. decrease3Ans. : 10e.dipole.6XII – Physics
17.A point charge Q is placed at point O shown in Fig. Is the potential difference VA – VB positive,negative or zero, if Q is (i) positive (ii) negative charge.Ans : When Q is ive. VA–VB 0When Q is – ive, VA–AB 0OAB18.An electron and proton are released from rest in a uniform electrostatic field. Which of them willhave larger acceleration?Ans : ae ap19.In an uniform electric field of strength E, a charged particle Q moves point A to point B in thedirection of the field and back from B to A. Calculate the ratio of the work done by the electricfield in taking the charge particle from A to B and from B to A.Ans : 1 : 120.If a dipole of charge 2µC is placed inside a sphere of radius 2m, what is the net flux linked withthe sphere.Ans : Zero21.Four charges q, –q, q, –q are placed as shown in the figure. What is the work done in bringinga test charge fromto point 0.A qB qq0OD–qC qAns : Zero23.If the metallic conductor shown in the figure is continuously charged from which of the pointsA,B,C or D does the charge leak first. Justify.Ans : ‘A’24.What is dielectric strength? Write the value of dielectric strength of air.25.Two charge –q and q are located at points A (0, 0, –a) and B(0, 0, a). How much work is donein moving a test charge from point (b, 0, 0) to Q (–b, 0, 0)?Ans : Zero26.If an electron is accelerated by a Potential difference of 1 Volt, Calculate the gain in energy in Jouland electron volt.27.Draw schematically the equipotential surface corresponding to a field that uniformly increases inmagnitude but remains in a constant (say z) direction.28.What is the work done in rotating a dipole from its unstable equilibrium to stable equilibrium? Doesthe energy of the dipole increase or decrease?1.An oil drop of mass m carrying charge –Q is to be held stationary in the gravitational field of theearth. What is the magnitude and direction of the electrostatic field required for this purpose?Ans : 3x106 Vm–1Ans : E m8/Q, doninward.7XII – Physics
2.Find the number of field lines originating from a point charge of q 8.854 µC.Ans : d 10 NC–1 m23.If q is the positive charge on each molecule of water, what is the total positive charge in (360g)a Mug of water.Ans : q360 6.02 10 23 C184.Derive an expression for the work done in rotating an electric dipole from its equilibrium positionto an angle with the uniform electrostatic field.5.Show that there is always a loss of energy when two capacitors charged to different potentialsshare charge (connected with each other).6.A thin long conductor has linear charge density of 20 µC/m. Calculate the electric field intensityat a point 5 cm from it. Draw a graph to show variation of electric field intensity with distance fromthe conductor.Ans. : 72 x 105 N/C7.What is the ratio of electric field intensity at a point on the equatorial line to the field at a pointon axial line when the points are at the same distance from the centre of the dipole?Ans : 1:28.Show that the electric field intensity at a point can be given as negative of potential gradient.9.A charged metallic sphere A having charge qA is brought in contact with an uncharged metallicsphere of same radius and then separated by a distance d. What is the electrostatic force betweenthem.Ans :kq2 A4d210.An electron and a proton fall through a distance in an uniform electric field E. Compare the timeof fall.11.Two point charges –q and q are placed 2l metre apart, as shown in fig. Give the direction ofelectric field at points A,B,C and D.DB–qA qC12.The electric potential V at any point in space is given V 20x3 volt, where x is in meter. Calculatethe electric intensity at point P (1, 0, 2).Ans : 60NC–113.Justify why two equipotential surfaces cannot intersect.14.Find equivalent capacitance between A and B in the combination given below : each capacitor isof 2 µF.Ans. : 6/7 µF8XII – Physics
A15.BWhat is the electric field at O in Figures (i), (ii) and (iii). ABCD is a square of side r.qABqqAOqDrIABOqqrIIDCBOqqDCrIIIC2qAns : (i) Zero, (ii) 410r22q(iii) 4016.What should be the charge on a sphere of radius 4 cm, so that when it is brought in contact withanother sphere of radius 2cm carrying charge of 10 µC, there is no transfer of charge from onesphere to other?Ans : Va Vb, Q 20 C17.For an isolated parallel plate capacitor of capacitance C and potential difference V, what willhappen to (i) charge on the plates (ii) potential difference across the plates (iii) field between theplates (iv) energy stored in the capacitor, when the distance between the plates is increased?Ans : (i) No change (ii) increases (iii) No change (iv) increases.18.Does the maximum charge given to a metallic sphere of radius R depend on whether it is hollowor solid? Give reason for your answer. Ans : No charge resides on the surface of conductor.19.Two charges Q1 and Q2 are separated by distance r. Under what conditions will the electric fieldbe zero on the line joining them (i) between the charges (ii) outside the charge?Ans : (i) Charge are alike (ii) Unlike charges of unequal magnitude.20.Obtain an expression for the field due to electric dipole at any point on the equatorial line. The electric field component in the figure are Ex 2 i, E y Ez 0, . Calculate the flux through,(1,2,3) the square surfaces of side 5m.21.121m32mY22.Calculate the work required to separate two charges 4 c and –2 c placed at (–3cm, 0, 0) and( 3cm, 0, 0) infinitely away from each other.23.What is electric field between the plates with the separation of 2cm and (i) with air (ii) dielectricmedium of dielectric constant K. Electric potential of each plate is marked in Fig.9XII – Physics
150 V(i)24.–50 VE041410 NC , E10NCk1A storage capacitor on a RAM (Random Access Memory) chip has a capacity of 55pF. If thecapacitor is charged to 5.3V, how may excess electrons are on its negative plate?Ans. : 1.8 10925.The figure shows the Q (charge) versus V (potential) graph for a combination of two capacitors.Identify the graph representing the parallel combination.AQBV26.Ans : A represents parallel combinationCalculate the work done in taking a charge of 1 µC in a uniform electric field of 10 N/C fromB to C given AB 5 cm along the field and AC 10 cm perpendicular to electric field.ABCAns : WAB WBC 50 x 10–8 J, WAC 0J27.Can two equi potential surfaces intersect each other? Give reasons. Two charges –q and q arelocated at points A (0, 0, –a) and B (0, 0, a) respectively. How much work is done in movinga test charge from point P(7, 0, 0) to Q(–3, 0, 0)?(zero)28.The potential of a pt A to –500V and that of another point B is 500V. What is the work done byexternal agent to take 2 units of negative charge from B to A.29.How does the Potential energy of (i) mutual interaction (ii) net electrostatic P.E. of two chargeschange when they are placed in an external electric field.30.With the help of an example, show the bigness of 1 Farad.31.What is meant by dielectric polarisation? Why does the electric field inside a dielectric decreasewhen it in placed in an external field?1.Define electrostatic potential and its unit. Obtain expression for electrostatic potential at a pointP in the field due to a point charge.10XII – Physics
2.Calculate the electrostatic potential energy for a system of three point charges placed at thecorners of an equilateral triangle of side ‘a’.3.What is polarization of charge? With the help of a diagram show why the electric field betweenthe plates of capacitor reduces on introducing a dielectric slab. Define dielectric constant on thebasis of these fields.4.Using Gauss’s theorem in electrostatics, deduce an expression for electric field intensity due toa charged spherical shell at a point (i) inside (ii) on its surface (iii) outside it. Graphically showthe variation of electric field intensity with distance from the centre of shell.5.Three capacitors are connected first in series and then in parallel. Find the equivalent capacitancefor each type of combination.6.A charge Q is distributed over two concentric hollow sphere of radii r and R (R r), such that theirsurface density of charges are equal. Find Potential at the common centre.7.Derive an expression for the energy density of a parallel plate capacitor.8.You are given an air filled parallel plate capacitor. Two slabs of dielectric constants K1 and K2having been filled in between the two plates of the capacitor as shown in Fig. What will be thecapacitance of the capacitor of initial area was A distance between plates d?PK1PK1K2K2QFig. 1QFig. 2C1 (K1 K2)C0K1 K 2 C0K1 K 2In the figure shown, calculate the total flux of the electrostatic field through the sphere S1 and S2.The wire AB shown has a liner charge density given kx where x is the distance measuredalong the wire, from end A.C29.ABQ0lAns.oS2ldxTotal charge on wire AB Q S1k xdn 1 K l22oBy Gauss’s the orem.11XII – Physics
Total flux through S1 Q0QTotal flun through S2 1 2kl2010.Explain why charge given to a hollow conductor is transferred immediately to outer surface of theconductor.(See Page 83. NCERT Vol I)11.Derive an expression for total work done in rotating an electric dipole through an angleuniform electric field. Hence calculate the potential energy of the dipole.12.Define electric flux. Write its SI unit. An electric flux of units passes normally through a sphericalGaussian surface of radius r, due to point charge placed at the centre.(1)What is the charge enclosed by Gaussian surface?(2)If radius of Gaussian surface is doubled, how much flux will pass through it?in an13.A conducting slab of thickness ‘t’ is introduced between the plates of a parallel plate capacitor,separated by a distance d (t d). Derive an expression for the capacitance of the capacitor. Whatwill be its capacitance when t d?14.If a dielectric slab is introduced between the plates of a parallel plate capacitor after the batteryis disconnected, then how do the following quantities v)Energy.What is an equipotential surface? Write three properties Sketch equipotential surfaces of(i)Isolated point charge(ii)Uniform electric field(iii)Dipole1.State the principle of Van de Graaff generator. Explain its working with the help of a neat labeleddiagram.2.Derive an expression for the strength of electric field intensity at a point on the axis of a uniformlycharged circular coil of radius R carrying charge Q.3.Derive an expression for potential at any point distant r from the centre O of dipole making anangle with the dipole.12XII – Physics
4.Suppose that three points are set at equal distance r 90 cm from the centre of a dipole, pointA and B are on either side of the dipole on the axis (A closer to ve charge and B closer to B)point C which is on the perpendicular bisector through the line joining the charges. What wouldbe the electric potential due to the dipole of dipole t 3.6 10–19 Cm at points A, B and C?5.Derive an expression for capacitance of parallel plate capacitor with dielectric slab of thicknesst(t d) between the plates separated by distance d. How would the following (i) energy (ii) charge,(iii) potential be affected if dielectric slab is introduced with battery disconnected, (b) dielectricslab is introduced after the battery is connected.6.Derive an expression for torque experienced by dipole placed in uniform electric field. Hencedefine electric dipole moment.7.State Gauss’s theorem. Derive an expression for the electric field due to a charged plane sheet.Find the potential difference between the plates of a parallel plate capacitor having surface densityof charge 5 10–8 Cm–2 with the separation between plates being 4 mm.8.Derive an expression for capacitance of parallel plate capacitor with dielectric slab ofthickness t (t d) between the plates separated by distance d.If the dielectric slab is introduced with the battery connected, then how do the followingquantities change (i) charge (ii) potential (iii) capacitance (iv) energy9.Using Gauss’s theorem obtain an expression for electric field intensity due to a plane sheet ofcharge. Hence obtain expression for electric field intensity in a parallel plate capacitor.10.Write five to six important results regarding eloectro statics of conductors. (See Page 68, NCERTVol I).1.What should be the position of charge q 5µC for it to be in equilibrium on the line joining twocharges q1 – 4 µC and q2 16 µC separated by 9 cm. Will the position change for any othervalue of charge q?(9 cm from – 4 µC)2.Two point charges 4e and e each, at a separation r in air, exert force of magnitude F. They areimmersed in a medium of dielectric constant 16. What should be the separation between thecharges so that the force between them remains unchanged.(1/4 the original separation)3.Two capacitors of capacitance 10 µF and 20 µF are connected in series with a 6V battery. If Eis the energy stored in 20 µF capacitor what will be the total energy supplied by the battery interms of E.(6E)4.Two point charges 6 µC and 2 µC are separated by 3 cm in free space. Calculate the work donein separating them to infinity.(3.6 joule)5.ABC is an equilateral triangle of side 10 cm. D is the mid point of BC, charge 100
8 XII – Physics 2. Find the number of field lines originating from a point charge of q 8.854 µC. Ans : d 10 NC –1 m 2 3. If q is the positive charge on each molecule of water, what is the total positive charge in (360g) a Mug of water. Ans : 23 360 q 6.02 10 C 18 4. Derive an expression for the work done in rotating an electric .File Size: 1MB
Northern Bank & Trust Co. Patriot Community Bank People's United Bank Pilgrim Bank Radius Bank RTN Federal Credit Union Santander StonehamBank TD Bank The Cooperative Bank The Savings Bank The Village Bank Walpole Cooperative Bank Wellesley Bank Winchester Co-operative Bank Abington Bank Bank of Canton Blue Hills Bank Boston Private Bank & Trust
M/s G.M. Kapadia & Co., Chartered Accountants Bankers HDFC Bank Ltd. (Primary Banker) Axis Bank Ltd. Bank of Baroda Bandhan Bank Ltd. Citibank N.A. CSB Bank Ltd. DCB Bank Ltd. Deutsche Bank ESAF Small Finance Bank ICICI Bank Ltd. IDFC Bank Ltd. Indian Bank RBL Bank Ltd. Saraswat Co-op Bank Ltd. State Bank of India Suryoday Small Finance Bank Ltd.
Bruksanvisning för bilstereo . Bruksanvisning for bilstereo . Instrukcja obsługi samochodowego odtwarzacza stereo . Operating Instructions for Car Stereo . 610-104 . SV . Bruksanvisning i original
10. HDFC Bank Limited 11. ICICI Bank Ltd 12. Indian Overseas Bank 13. ING Vysya Bank 14. Kotak Bank -Virtual card 15. Shivalik Bank 16. Standard Chartered Bank 17. State Bank of Bikaner and Jaipur 18. State Bank of India 19. State Bank of Mysore 20. State Bank of Travencore 21. Syndicate Bank 22. The Federal Bank Ltd 23. The Karur Vysya Bank Ltd
Physics 20 General College Physics (PHYS 104). Camosun College Physics 20 General Elementary Physics (PHYS 20). Medicine Hat College Physics 20 Physics (ASP 114). NAIT Physics 20 Radiology (Z-HO9 A408). Red River College Physics 20 Physics (PHYS 184). Saskatchewan Polytechnic (SIAST) Physics 20 Physics (PHYS 184). Physics (PHYS 182).
commerce bank eastern bank-east west bank everbank firstbank first hawaiian bank-first horizon bank firstmerit bank-first national of. nebraska first niagara flagstar bank f.n.b.corp. frost national bank fulton financial hancock bank iberiabank m b financial new york community banks old national, bank one west bank people's united bank raymond .
State Bank of India State Bank of Mysore State Bank of Patiala State Bank of Travancore Syndicate Bank Tamilnadu Mercantile Bank TNSC Bank UCO Bank Union Bank of India United Bank of India Vijaya Bank YES Bank . Instruction to follow during first time use of Karur Vysya
10 tips och tricks för att lyckas med ert sap-projekt 20 SAPSANYTT 2/2015 De flesta projektledare känner säkert till Cobb’s paradox. Martin Cobb verkade som CIO för sekretariatet för Treasury Board of Canada 1995 då han ställde frågan
