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Answer the following questions: Ray optics is based on the assumption that light travels in a straight line. Diffraction effects (observed when light propagates through small apertures/slits or around small obstacles) disprove this assumption. Yet the ray optics assumption is so commonly used in understanding location and several other
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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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Yellow light `(lambda, = 6000 A^o)` illuminates a single slit of width `1xx10^(-4)m`. Calculate the distance between two dark lines on either side to the central maximum, when the diffraction pattern is viewed on a screen kept 1.5 m away from the
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Four identical monochromatic sources A,B,C,D as shown in the (Fig.) produce waves of the same wavelength λ and are coherent. Two receiver R1 and R2 are at great but equal distaces from B. Which of the two receivers picks up the larger signal when B is turned
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What is the de Broglie wavelength of a ball of mass 0.060 kg moving at a speed of 1.0
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What is the de Broglie wavelength of a dust particle of mass 1.0 × 10–9 kg drifting with a speed of 2.2
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Monochromatic radiation of wavelength 640.2 nm (1nm = 10–9 m) from a neon lamp irradiates photosensitive material made of caesium on tungsten. The stopping voltage is measured to be 0.54 V. The source is replaced by an iron source and its 427.2 nm line irradiates the same photo-cell. Predict the new stopping
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A mercury lamp is a convenient source for studying frequency dependence of photoelectric emission, since it gives a number of spectral lines ranging from the UV to the red end of the visible spectrum. In our experiment with rubidium photo-cell, the following lines from a mercury source were used: λ1 = 3650 Å, λ2 = 4047 Å, λ3 = 4358 Å, λ4 = 5461 Å, λ5 = 6907 Å, The stopping voltages, respectively, were measured to be: `V_01` = 1.28 V,`V_02` = 0.95 V, `V_03` = 0.74 V, `V_04` = 0.16 V, `V_05` = 0 V Determine the value of
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Crystal diffraction experiments can be performed using X-rays, or electrons accelerated through appropriate voltage. Which probe has greater energy? (For quantitative comparison, take the wavelength of the probe equal to 1 Å, which is of the order of inter-atomic spacing in the lattice) (me =9.11 × 10–31
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An oil drop of radius r and density `rho` is held stationary in a uniform vertically upwards electric field 'E'. If `rho_0 (< rho)` is the density of air and e is quanta of charge, then the drop
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A square surface of side L metres is in the plane of uur the paper. A uniform electric field `vecE ('volt' /m)`, also in the plane of the paper, is limited only to the lower half of the square surface (see figure). The electric flux in SI units associated with the surface is
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If the distance between two equal point charges is doubled and their individual charges are also doubled, what would happen to the force between
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Two identically charged spheres are suspended by strings of equal length. The strings make an angle of 300 with each other. When suspended in a liquid of density 0.8 g/cc the angle remains same. What is the dielectric constant of liquid. Density of sphere = 1.6
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If a point charge q is placed at the centre of a cube. What is the flux linked (a) with the cube? (b) with each face of the
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Consider `vecE=3×10^3 hati` (N/C) then what is the flux through the square of 10 cm side, if the normal of its plane makes 60° angle with the X
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A proton moves with a speed of `7.45×10^5 m'/'s` directly towards a free proton originally at rest. Find the distance of closest approach for the two protons. Given : `1/(4pi epsilon_0)= 9×10^9 (N-m)^2/c^2 ; m_p=1.67×10^(–27) kg and e = 1.6×10^(–19)
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The inward and outward electric flux for a closed surface in units of `Nm^2` /C are respectively `8 xx10^3` and `4 xx10^3` . Then the total charge inside the surface is ...........
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Can a simple pendulum experiment be done inside a
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Derive Avogadro’s
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Find the potential energy of a system of four particles placed at the vertices of a square of side l. Also obtain the potential at the centre of the
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