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Kendriya Vidyalaya UTTARKASHI

Question Bank X & XII 2010

Question Bank X & XII -2010

Class XII (Physics)

 Unit I: Electrostatics

Electric Charges; Conservation of charge, Coulomb’s law-force between two point charges, forces between multiple charges; superposition principle and continuous charge distribution. Electric field, electric field due to a point charge, electric field lines; electric dipole, electric field due to a dipole; torque on a dipole in uniform electric field.

Electric flux, statement of Gauss’s theorem and its applications to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell (field inside and outside).

Electric potential, potential difference, electric potential due to a point charge, a dipole and system of charges; equipotential surfaces, electrical potential energy of a system of two point charges and of electric dipole in an electrostatic field.

Conductors and insulators, free charges and bound charges inside a conductor. Dielectrics and electric polarisation, capacitors and capacitance, combination of capacitors in series and in parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates, energy stored in a capacitor. Van de Graaff generator.

 Unit II: Current Electricity

Electric current, flow of electric charges in a metallic conductor, drift velocity, mobility and their relation with electric current; Ohm’s law, electrical resistance, V-I characteristics (linear and non-linear), electrical energy and power, electrical resistivity and conductivity.

Carbon resistors, colour code for carbon resistors; series and parallel combinations of resistors; temperature dependence of resistance.

Internal resistance of a cell, potential difference and emf of a cell, combination of cells in series and in parallel.

Kirchhoff’s laws and simple applications. Wheatstone bridge, metre bridge.

Potentiometer - principle and its applications to measure potential difference and for comparing emf of two cells; measurement of internal resistance of a cell.

 Unit III: Magnetic Effects of Current and Magnetism

Concept of magnetic field, Oersted’s experiment.

Biot - Savart law and its application to current carrying circular loop.

Ampere’s law and it applications to infinitely long straight wire, straight and toroidal solenoids.

Force on a moving charge in uniform magnetic and electric fields. Cyclotron. Force on a current-carrying conductor in a uniform magnetic field. Force between two parallel current-carrying conductors-definition of ampere. Torque experienced by a current loop in uniform magnetic field; moving coil galvanometer-its current sensitivity and conversion to ammeter and voltmeter.

Current loop as a magnetic dipole and its magnetic dipole moment. Magnetic dipole moment of a revolving electron. Magnetic field intensity due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis. Torque on a magnetic dipole (bar magnet) in a uniform magnetic field; bar magnet as an equivalent solenoid, magnetic field lines; Earth’s magnetic field and magnetic elements. Para-, dia- and ferro - magnetic substances, with examples. Electromagnets and factors affecting their strengths. Permanent magnets.

 Unit IV: Electromagnetic Induction and Alternating Currents

Electromagnetic induction; Faraday’s law, induced emf and current; Lenz’s Law, Eddy currents. Self and mutual inductance. Need for displacement current. Alternating currents, peak and rms value of alternating current/voltage; reactance and impedance; LC oscillations (qualitative treatment only), LCR series circuit, resonance; power in AC circuits, wattless current. AC generator and transformer.

Unit V: Electromagnetic waves

Electromagnetic waves and their characteristics (qualitative ideas only). Transverse nature of electromagnetic waves.Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, Xrays, gamma rays) including elementary facts about their uses.

Unit VI: Optics

Reflection of light, spherical mirrors, mirror formula. Refraction of light, total internal reflection and its applications, optical fibres, refraction at spherical surfaces, lenses, thin lens formula, lens-maker’s formula. Magnification, power of a lens, combination of thin lenses in contact. Refraction and dispersion of light through a prism.Scattering of light - blue colour of the sky and reddish appearance of the sun at sunrise and sunset.

Optical instruments: Human eye, image formation and accommodation, correction of eye defects (myopia, hypermetropia, presbyopia and astigmatism) using lenses. Microscopes and astronomical telescopes (reflecting and refracting) and their magnifying powers. Wave optics: wave front and Huygens’ principle, reflection and refraction of plane wave at a plane surface using wave fronts. Proof of laws of reflection and refraction using Huygens’ principle. Interference, Young’s double slit experiment and expression for fringe width, coherent sources and sustained interference of light. Diffraction due to a single slit, width of central maximum. Resolving power of microscopes and astronomical telescopes. Polarisation, plane polarised light; Brewster’s law, uses of plane polarised light and Polaroids.

 Unit VII: Dual Nature of Matter and Radiation

Dual nature of radiation. Photoelectric effect, Hertz and Lenard’s observations; Einstein’s photoelectric equation-particle nature of light.Matter waves-wave nature of particles, de Broglie relation. Davisson-Germer experiment.

Unit VIII: Atoms & Nuclei

Alpha-particle scattering experiment; Rutherford’s model of atom; Bohr model, energy levels, hydrogen spectrum.Composition and size of nucleus, atomic masses, isotopes, isobars; isotones. Radioactivityalpha, beta and gamma particles/rays and their properties; radioactive decay law.Mass-energy relation, mass defect; binding energy per nucleon and its variation with mass number; nuclear fission and fusion.

Unit IX: Electronic Devices

Semiconductors; semiconductor diode – I-V characteristics in forward and reverse bias, diode as a rectifier; I-V characteristics of LED, photodiode, solar cell, and Zener diode; Zener diode as a voltage regulator. Junction transistor, transistor action, characteristics of a transistor; transistor as an amplifier (common emitter configuration) and oscillator. Logic gates (OR, AND, NOT, NAND and NOR). Transistor as a switch.

 Unit X: Communication Systems :

Elements of a communication system (block diagram only); bandwidth of signals (speech, TV and digital data); bandwidth of transmission medium. Propagation of electromagnetic waves in the atmosphere, sky and space wave propagation. Need for modulation. Production and detection of an amplitude-modulated wave.

1. Explain briefly (i) charge quantization (ii) conservation of charge.

2. Write vector form of coulomb’s law. How force depends on intervening medium.

3. Define Electric field intensity and electric potential due to a point charge. Give their S.I. units.

4. Derive expression for electric potential due to a point charge.

5. Define Electric dipole moment and give its unit and direction.

6. Find expression for electric field intensity on axial and equatorial line of a electric dipole.

7. State Gauss’ theorem . Calculate electric flux due to surface enclosing charge of 1C.

8. Obtain the expression for the  electric field intensity E due to infinite plane sheet of charge .

9. Derive the expression for the E at any point outside and inside  a uniformly charged spherical shell.

10. Derive an  expression for the E at a  point near an  infinitely long , thin ,uniformly charged straight wire.

11.Find expression  for torque on electric dipole in uniform electric field. Give its equilibrium state.             

12. Derive expression for capacitance of a parallel plate capacitor i)without dielectric ii)with dielectric slab.

13.Derive expression for energy stored and energy density (½εοE2) of a charged capacitor.

14.How Voltage, charge , capacity ,energy and electric field changes when dielectric is introduced

     between the plates of capacitor i)with battery connected and ii)without battery.  

15. Draw lines of forces for i) q>0 ii)q<0 .Why lines are not discontinuous and never intersect .

16. What is equipotential surface? Find work done on moving charge on such surface.

17.Give principle ,construction, working and labeled diagram of a Vande graff generator. How

      charge leakage is prevented.

18. Find charge and voltage on each capacitor in given circuits.                                                             15µF

                                                                                                                                                                 ┤ ├                                  

     (i)             ┤ ├           ┤ ├                                                   (ii)              ┤ ├          

                               10µF                 5µF                                                                                10µF

                                                                                                                                                              ┤ ├    10µF                               

19. A charge q is placed at the centre of line joining two equal charges Q. Show that the system of three

     charges will be in equilibrium if q = -Q/4.

20. Two point charges 3µC and  -3µC are located 20cm apart in vacuum. Find electric field and electric

       potential at midpoint of line. Also find force and its direction experienced by charge   1.5nC kept at    

       midpoint.

21.  A 10µF capacitor is charged by a 30V d.c. and then connected across an uncharged 50µF capacitor.  

       Calculate (i) the final potential difference of the combination, and (ii) the initial

        and final energies. How will you account for the difference in energy?

22. An electric dipole of length 4cm, when placed with its axis making an angle of 60o with uniform

      electric  field experiences a torque of 4 /3Nm. Calculate the (i) magnitude of electric  field, (ii)the

       potential energy  of dipole ,if the dipole has charges of +8nC.

 

 

 

 

 

 

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