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(i) (a) 'Two independent monochromatic sources of light cannot produce `a` sustained interference pattern'. Give reason.(b) Light waves each of amplitude a and frequency `omega` emanating from two coherent light sources superpose at a point. If the displacements due to these waves is given by `Y_1 = acosomegat and Y_2 = acos(omegat+phi)` where `(phi)` is the phase difference between the two, obtain the expression for the resultant intensity at the point. (ii) In Young's double slit experiment using monochromatic light of wavelength `lambda`, the intensity of light at a point on the screen where path difference is `lambda`, is K
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In a Young's double slit experiment, (i) deduce the conditions for constructive and destructive interference. Hence, write the expression for the distance between two consecutive bright or dark fringe. (ii) what change in the interference pattern do you observe, if the two slits, `S_1 and S_2` are taken as point sources? (iii) plot a graph of the intensity distribution versus path difference in this experiment. Compare this with the intensity distribution of fringes due to diffraction at a single slit. What important difference do you
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The human eye has an approximate angular resolution of `φ = 5.8 × 10^(-4)` rad and a typical photoprinter prints a minimum of 300 dpi (dots per inch, 1 inch = 2.54 cm). At what minimal distance z should a printed page be held so that one does not see the individual
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Find the(i) maximum frequency,(ii) minimum wavelength of X-rays produced by 30 kV
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What is the de Broglie wavelength of a nitrogen molecule in air at 300 K? Assume that the molecule is moving with the root-meansquare speed of molecules at this temperature. (Atomic mass of nitrogen = 14.0076
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The maximum kinetic energy of photoelectron is 2.8 eV. What is the value of stopping
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An electromagnetic wave of wavelength λ is incident on a photosensitive surface of negligible work function. If the photoelectrons emitted form this surface have de-broglie wavelength `λ_1` . Prove that
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Draw a graph showing the variation of stopping potential with frequency of the incident radiations. What does the slope of the line with the frequency axis indicate. Hence define threshold
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Show does the force between two point charges change if the dielectric constant of the medium in which they are kept
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A copper sphere of mass 2 gm contains about `2xx 10^(22)` atoms. The charge on the nucleus of each atom is 29e. The fraction of electrons
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A n electric dipole is placed at an angle of 60o with an electric field of intensity `10^5 NC^(–1)` . It experiences a torque equal to `8 sqrt3Nm` . If the dipole length is 2cm then the charge on the dipole is ...........
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A Charge q is placed at the centre of the open end of cylindrical vessel. The flux of theelectric field through the surface of the vessel is
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The sum of the numbers 436.32, 227.2 and 0.301 inappropriate significant figures
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On the basis of dimensions, decide which of the following relations for the displacement of a particle undergoing simple harmonic motion is not
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Assertion: For projection angle `tan^(-1) (4)`, the horizontal and maximum height of a projectile are equal. Reason: The maximum range of projectile is directly proportional to square of velocity and inversely proportional to acceleration due to
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A body describes simple harmonic motion with an amplitude of 5 cm and a period of 0.2 s. Find the acceleration and velocity of the body when the displacement is (a) 5 cm (b) 3 cm (c) 0
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A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density of 80.0 µC/m2 . What is the total electric flux leaving the surface of the
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Fig. shows the electric field lines around three point charges A, B and C. In which region or regions of the picture could the electric field be zero? Justify your answer. (i) near A, (ii) near B, (iii) near C, (iv)
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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 =
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An electrical device draws 2kW power from AC mains (voltage223V (rms) = `sqrt50,000` V).The current differs (lags) in phase by `φ tan φ=-3/4` as compared to voltage. Find `X_C –
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