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The intensity at the central maxima `(O)` in a Young's double slit experiment is `I_0` . If the distance OP equals one-third of fringe width of the pattern, then show that the intensity at point P would be `I_0
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(i) In Young's double slit experiment, derive the condition for (a) constructive interference and (b) destructive interference at a point on the screen. (ii) A beam of light consisting of two wavelengths, 800 nm and 600 nm is used to obtain the interference fringes on a screen placed 1.4 m away in a Young's double slit experiment. If the two slits are separated by 0.28 mm, calculate the least distance from the central bright maximum where the bright fringes of the two wavelengths
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Unpolarised light is incident on a plane surface of glass of refractive index p at an angle i. If the reflected light gets totally polarised, write the relation between the angle i and refractive
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A parallel beam of light of wavelength 500 nm falls on a narrow slit and the resulting diffraction pattern is observed on a screen 1 m away. It is observed that the first minimum is at a distance of 2.5 mm from the centre of the screen. Calculate the width of the
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Two source `S_1` and `S_2` of intensity `I_1` and `I_1` are placed in front of a screen [Fig. (a)]. The patteren of intensity distribution seen in the central portion is given by Fig. (b). In this case which of the following statements are true.
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Consider sunlight incident on a pinhole of width 103A. The image of the pinhole seen on a screen shall
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Fig. shown a two slit arrangement with a source which emits unpolarised light. P is a polariser with axis whose direction is not given. If `I_0` is the intensity of the principal maxima when no polariser is present, calculate in the present case, the intensity of the principal maxima as well as of the first
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When coherent waves (a) same phase(b) same frequency(c) same phase difference(d) same path
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What is the(a) momentum, (b) speed, (c) de Broglie wavelength of an electron with kinetic energy of 120
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An electron and a photon each have a wavelength of 1.00 nm. Find the energy of the
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From your answer to (i), guess what order of accelerating voltage (for electrons) is required in such a tube
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An electron microscope uses electrons accelerated by a voltage of 50 kV. Determine the de Broglie wavelength associated with the electrons. If other factors (such as numerical aperture, etc.) are taken to be roughly the same, how does the resolving power of an electron microscope compare with that of an optical microscope which uses yellow
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A particle is dropped from a height H. The de Broglie wavelength of the particle as a function of height is proportional
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Relativistic corrections become neccssary when the expression for the kinetic energy `1/2mv^2` , becomes comparable with mc2, where m is the mass of the particle. At what de Broglie wavelength will relativistic corrections become important for an
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Consider an electron in front of metallic surface at a distance d (treated as an infinite plane surface). Assume the force of attraction by the plate is given as `1/4q^2/(4piε_0d^2)` Calculate work in taking the charge to an infinite distance from the plate. Taking d = 0.1nm, find the work done in electron volts. [Such a force law is not valid for d <
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A student performs an experiment on photoelectric effect, using two materials A and B. A plot of Vstop vs ν is given in Fig. Given the electric charge of an electron = 1.6 × 10–19 C, find the value of h obtained from the experiment for both A
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Work function of Na is 2.3eV. Does sodium show photoelectric emission for light on the velocity of
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Draw one equipotential surfaces (1) Due to uniform electric field (2) For a point charge (q <
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Three charges `-q_1, +q_2, and -q_3`, are R placed as shown in the figure. The x - component of the force on `-q_1`,
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If =`–5x + 3y +sqrt15z` then find magnitude of electric field at point
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