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Use Huygens' principle to show how a plane wavefront propagates from a denser to rarer medium. Hence, verify Snell's law of
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(i) In Young's double slit experiment, describe briefly how bright and dark fringes are obtained on the screen kept in front of a double slit. Hence, obtain the expression for the fringe width. (ii) The ratio of the intensities at minima to the maxima in the Young's double slit experiment is 9:25.Find the ratio of the widths of the two
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The fringe spacing in Young's double slit experiment is 0.5mm. Wavelength of light is 500nm. What could be the screen distance for this experiment. The disatance between the two sources
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Light of intensity 10–5 W m–2 falls on a sodium photo-cell of surface area 2 cm2 . Assuming that the top 5 layers of sodium absorb the incident energy, estimate time required for photoelectric emission in the wave-picture of radiation. The work function for the metal is given to be about 2 eV. What is the implication of your
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Answer the following questions: The energy and momentum of an electron are related to the frequency and wavelength of the associated matter wave by the relations: E = h ν, p = λ h But while the value of λ is physically significant, the value of ν (and therefore,
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Calculate the energy associated in eV with a photon of wavelength `4000A^o`
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No two electric lines of force can intersect each other?
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Two identical plane metallic surfaces A and B are kept parallel to each other in air separated by a distance of 1.0 cm as shown in the figure. Surface A is given a positive potential of 10V and the outer surface of B is earthed.(a) What is the magnitude and direction of uniform electric field between point Y and Z? What is the work done in moving a change of 20 µc from point X to Y?(b) Can we have non-zero electric potential in the space, where electric field strength is
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A solid conducting sphere of radius a has a net positive charge 2Q. A conducting spherical shell of inner radius b and outer radius c is concentric with the solid sphere and has a net charge– Q.The surface charge density on the inner and outer surfaces of the spherical shell will be
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A charge q is placed at the centre of the open end of a cylindrical vessel. The flux of the electric field through the surface of the vessel is
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A small electric dipole is placed at origin with its dipole moment directed along positive x-axis. The direction of electric field at point `(2, 2sqrt2,0)`
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Two point masses m each carrying charge –q and +q are attached to the ends of a massless rigid non-conducting rod of length l. The arrangement is placed in a uniform electric field E such that the rod makes a small angle `5^0` with the field direction. The minimum time needed by the rod to align itself along the field is
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An electric dipole is placed along the x-axis at the origin o. A point P is at a distance of 20 cm from this origin such that OP makes an angle `π/ 3` with the x-axis. If the electric field at P makes an angle `theta` with the x-axis, the value of `theta` would be
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E, m, l and G denote energy, mass, angular momentum and gravitational constant respectively. Determine the dimensions of
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Calculate the degree of freedom for monatomic, diatomic and triatomic
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One end of a V-tube containing mercury is connected to a suction pump and the other end to atmosphere. The two arms of the tube are inclined to horizontal at an angle of 45° each. A small pressure difference is created between two columns when the suction pump is removed. Will the column of mercury in V-tube execute simple harmonic motion? Neglect capillary and viscous forces.Find the time period of
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A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density of 80.0 µC/m2 . Find the charge on the
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Which among the curves shown in Fig. cannot possibly represent electrostatic field lines?
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Find the current in the sliding rod AB (resistance = R) for the arrangement shown in Fig . B is constant and is out of the paper. Parallel wires have no resistance. v is constant. Switch S is closed at time t = 0.
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A long solenoid ‘S’ has ‘n’ turns per meter, with diameter ‘a’. At the centre of this coil we place a smaller coil of ‘N’ turns and diameter ‘b’ (where b < a). If the current in the solenoid increases linearly, with time, what is the induced emf appearing in the smaller coil. Plot graph showing nature of variation in emf, if current varies as a function of mt2 +
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