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Board Paper of Class 12-Science 2007 Physics (SET 1) - Solutions

General Instructions:
(i) All questions are compulsory.
(ii) There are 30 questions in total. Question Nos. 1 to 8 are very short answer type questions and carry one mark each.
(iii) Question Nos. 9 to 18 carry two marks each, question 19 to 27 carry three marks each and question 28 to 30 carry five marks each.
(iii) There is no overall choice. However, an internal choice has been provided in one question of two marks; one question of three marks and all three questions of five marks each. You have to attempt only one of the choice in such questions.
(iv) Use of calculators is not permitted.

  • Question 1

    Is the force acting between two point electric charges q1 and q2, kept at some distance apart in air, attractive or repulsive, when (i) q1q2 > 0 (ii) q1q2 <0 ?


  • Question 2

    Show graphically how the stopping potential for a given photosensitive surface varies with the frequency of incident radiations.


  • Question 3

    A TV tower has a height of 71 m. What is the maximum distance up to which TV transmission can be received? Given that the radius of the earth = 6.4 × 106 m.


  • Question 4

    Which one of the two diodes D1 and D2 in the given figures is (i) forward biased,

    (ii) reverse biased ?


  • Question 5

    Suggest a possible communication channel for the transmission of a message signal which has a bandwidth of 5 MHz.


  • Question 9

    A spherical Gaussian surface encloses a charge of 8.85 × 10-10C.

    (i) Calculate the electric flux passing through the surface.

    (ii) How would the flux change if the radius of the Gaussian surface is doubled and why?


  • Question 10

    In a copper voltmeter, the mass of the ions deposited in 30 seconds is m grams. Thecurrent (i) vs. time (t) graph for the experiment is as shown in the given figure.

    Calculate the value of E.C.E. of copper in terms of the mass, m, deposited.


  • Question 11

    In an ammeter (consisting of a galvanometer and a shunt), 0.5% of the main current passes through the galvanometer. Resistance of the galvanometer coil is G. Calculate the resistance of the shunt in terms of galvanometer resistance, G.


  • Question 12

    An electric bulb B and a parallel plate capacitor C are connected in series to the a.c.mains as shown in the given figure. The bulb glows with some brightness.

    How will the glow of the bulb be affected on introducing a dielectric slab between the plates of the capacitor? Give reasons in support of your answer.


  • Question 13

    What does the statement, “natural light emitted from the sun is unpolarised” mean interms of the direction of electric vector? Explain briefly how plane polarized light can beproduced by reflection at the interface separating the two media.


  • Question 14

    The output of a 2-input NOR gate is fed to a NOT gate. Draw the logic circuit of this combination of gates and write the truth table for the output of the combination for all inputs. (i) attractive, (ii) repulsive.


  • Question 15

    What is remote sensing? Write its two applications.


  • Question 16

    On what principle does a metre bridge work? Draw a circuit diagram and explain how this device can be used for determination of an unknown resistance.


  • Question 17

    Derive a mathematical expression for resistivity of a conductor in terms of numberdensity of charge carriers in the conductor and relaxation time.


  • Question 18

    State Ampere’s circuital law. Write the expression for the magnetic field at the centre of acircular coil of radius R carrying a current I. Draw the magnetic field lines due to thiscoil.


  • Question 19

    Write the expression for the force acting on a charged particle of charge q moving with velocity in the presence of magnetic field. Show that in the presence of this force

    (i) the kinetic energy of the particle does not change

    (ii) its instantaneous power is zero


  • Question 20

    In a series LCR circuit, define the quality factor (Q) at resonance. Illustrate its significance by giving one example.

    Show that power dissipated at resonance in LCR circuit is the maximum.


  • Question 21

    A circular copper disc 10 cm in radius rotates at a speed of 20π rad/s about an axis through its centre and perpendicular to the disc. A uniform magnetic field of 0.2 T acts perpendicular to the disc.

    (i) Calculate the potential difference developed between the axis of the disc and the rim.

    (ii) What is the induced current if the resistance of the disc is 2 Ω?


    A resistor of 200 Ω and a capacitor of 40 μF are connected in series to 220 V a.c. source with angular frequency (ω) = 300 Hz. Calculate the voltages (rms) across the resistor and the capacitor. Why is the algebraic sum of these voltages more than the source voltage? How do you resolve this paradox?


  • Question 22

    Draw a labelled diagram of Hertz’s experiment. Explain how electromagnetic radiations are produced using this set-up.


  • Question 23

    How does the frequency of a beam of ultraviolet light get affected when it goes from air into glass?

    A ray of light incident on an equilateral glass prism shows minimum deviation of 30°.

    Calculate the speed of light through the glass prism.


  • Question 24

    An electron, alpha particle and a proton have the same de-Broglie wavelength. Which of these particles has (i) minimum kinetic energy, (ii) maximum kinetic energy, and why?

    In what way has the wave nature of electron been exploited in electron microscope?


  • Question 25

    State the law of radioactive decay. Establish a mathematical relation between half-life period and disintegration constant of a radioactive nucleus.


  • Question 26

    Distinguish between nuclear fission and fusion. In a fusion reaction,

    Calculate the amount of energy (in MeV) released. Given= 2.014102 u;

    = 3.016049 u; = 4.002603 u; = 1.00867 u; 1 u = 931.5 MeV/C2.


  • Question 27

    Draw a schematic diagram of a single optical fibre structure. On what principle does such a device work? Explain the mechanism of propagation of light signal through an optical fibre.


  • Question 28

    Derive the expression for the energy stored in a parallel plate capacitor of capacitance C with air as medium between its plates having charges Q and − Q. Show that this energy can be expressed in terms of electric field as where A is the area of each plate and d is the separation between the plates.

    How will the energy stored in a fully charged capacitor change when the separation between the plates is doubled and a dielectric medium of dielectric constant 4 is introduced between the plates?


    Define the term dipole momentof an electric dipole indicating its direction. Write its SI unit.

    An electric dipole is placed in a uniform electric field. Deduce the expression for the torque acting on it. In a particular situation, it has its dipole moment aligned with the electric field. Is the equilibrium stable or unstable?


  • Question 29

    Define the term ‘wavefront’. Draw the wavefront and corresponding rays in the case of a

    (i) diverging spherical wave, (ii) plane wave.

    Using Huygen’s construction of a wavefront, explain the refraction of a plane wavefront at a plane surface and hence verify Snell’s law.


    Derive the relation between the focal length of a convex lens in terms of the radii of curvature of the two surfaces and refractive index of its material. Write the sign conventions and two assumptions used in the derivation of this relation.

    A convex lens of focal length 40 cm and a concave lens of focal length 25 cm are kept in contact with each other. What is the value of power of this combination?


  • Question 30

    Explain, with the help of a circuit diagram, the use of an n-p-n transistor as an amplifier in common-emitter configuration. Write the expression for voltage gain of the transistor.

    Draw frequency response curve of this amplifier.

    How will the current gain of a transistor be affected if its base region is made thicker as compared to a usual transistor and why?


    Draw energy band diagrams for (i) an intrinsic semiconductor, (ii) p-type semiconductor.

    Draw symbolic representation of a zener diode. Draw its V-I characteristics and explain, with the help of a circuit diagram, its use as a voltage regulator.

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