*Physics – Important Questions Bank for Meghalaya Board (MBOSE) HSSLC 2016 Examination*

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*PHYSICS*

All questions are compulsory.

Use the following values of physical constants wherever necessary :

Speed of light in vacuum, c = 3 X 10 ^{8} ms ^{– 1}

Planck’s constant, *h* = 6.63 X 10 ^{-34} J-s

Permittivity of free space, ƹ _{o} = 8.86 X 10 –^{12} C_{2} N^{-1} m^{-2}

Permeability of free space, µ o = 4 π x 10^{-7} T M A ^{-1}

Mass of electron, *me* = 9.11 x 10 ^{-31} Kg

Mass of proton, *mp* = 1.67 x 10-^{27} Kg

Electronic charge,* e* = 1.6 x 10^{-19} C

*Long answer type questions: Answer the following questions in 70 to 80 words each :*

- What is sky-wave propagation? Obtain an expression for the coverage range in space-wave propagation in terms of the height of the antenna.
- Discuss two factors responsible for the need for modulation in communication.
- What are semiconductors? Discuss the formation of depletion layer and potential barrier in an unbiased p-n junction diode.
Derive an expression for the magnitude of electric field intensity at a point on the equatorial line of an electric dipole. Also write the expression in vector form. Show that at a given distance from the centre of a short electric dipole, the magnitude of electric field intensity on the axial line is twice that of the equatorial line.

- With the help of a diagram, briefly describe the construction and working of a cyclotron. Also find(a) the radius of the circular path and(b) the time period of revolution of an ion in a cyclotron.
- Using the Biot-Savart law, find an expression for the magnetic field at the centre of a circular coil of radius
*r*and carrying a current*I*. - Find an expression for the force per unit length between two parallel wires carrying current in the same direction. Hence, define an ampere.
- State the Huygens’ principle for the wave theory of light. Using this principle, verify either the laws of reflection or the laws of refraction of light.
- State the Ampere’s circuital law. Use the law to find the magnitude of the magnetic field inside a long, straight, air-cored solenoid. Also write the expressions for the magnitude of magnetic field(i) at points near the ends of the solenoid and(ii) inside the solenoid when it is iron-cored.
- State and prove Brewster’s law and hence show that if ray of light is incident on the refracting surface at a polarising angle, then the reflected and refracted rays are perpendicular to each other.
- Show that the magnitude of the electric field at an axial point far away from a short electric dipole is inversely proportional to the cube of its distance from the centre of the dipole.
- With a neat circuit diagram, explain how the internal resistance of a cell can be determined by using a potentiometer.
- Describe the working of a moving-coil galvanometer and hence show that the deflection of the coil is directly proportional to the current flowing through it.
- Discuss the construction of an AC generator with the help of a simple diagram.
- Using Huygens’ principle, establish the laws of reflection.
- What is meant by interference of light? Give any two conditions for obtaining sustained interference pattern of light. Why two separate light bulbs cannot produce a sustained interference pattern of light?
- What is photoelectric effect? Explain the variation of photoelectric current with the—(a) intensity of the incident light;(b) frequency of the incident light.
- With the help of a neat diagram, deduce the condition for balance in a Wheatstone’s bridge by applying Kirchhoff’s laws.
- Write down the condition of resonance in a series L-C-R circuit and hence find an expression for the resonant frequency. Also draw the resonance curve in L-C-R circuit.
- What is the principle on which a transformer is based? With a simple diagram, briefly describe the working of a transformer.
- Write any four properties of electromagnetic waves. Give two uses of microwaves.
- Find an expression for the combined focal length of two thin coaxial convex lenses placed in contact.
- Draw a labelled diagram to show the image formation at the near point due to a compound microscope and hence calculate its magnifying power.
- Deduce the expression for de Broglie wavelength of an electron accelerated through a potential difference of V volts. Hence find the de Broglie wavelength in Å associated with an electron accelerated under a potential difference of 100 volts.
- Define half-life of a radioactive substance. Show that half-life of a radioactive substance inversely proportional to the decay constant.
- Write down the postulates of Bohr’s theory of hydrogen atom.
- What is intrinsic semiconductor? Name the type of extrinsic semiconductor obtained when germanium is doped with(i) arsenic and(ii) gallium.
- Draw a neat diagram for a full-wave rectifier circuit.
- Two point charges -q and +q separated by a short distance 2a are placed in free space at points A and B respectively. Derive an expression for the electric potential at a point P whose distance from the centre O of the line AB is r and OP makes an angle q with the electric dipole moment potential if P lies on(i) axial line and (ii) equatorial line.
- State the Ampere’s circuital law. Use the law to find the magnitude of the magnetic field inside a long, straight, air-cored solenoid. Also write the expressions for the magnitude of magnetic field(i) at points near the ends of the solenoid and(ii) inside the solenoid when it is iron-cored.
- What are isotones? Give example.
- Represent the spectral series of H-atom by a neat energy-level diagram.
- State and explain Lenz’s law.
- What are eddy currents? How are eddy current losses minimized in a transformer?
- Using Gauss’s theorem in electrostatics, obtain an expression for the electric field at a point outside a uniformly charged spherical shell.
- When the current through a coil changes at the rate of 1 A/s, it induces a voltage of 1 m V. What is the coefficient of self-induction of the coil?

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Biology (i) botany , Biology (ii) Zoology, Chemistry

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