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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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(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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(i) What are coherent sources? Why are they necessary for observing a sustained interference pattern? How are the two coherent sources obtained in the Young's double slit experiment? (ii) Show that the superposition of the waves originating from the two coherent sources, `S_1 and S_2` having displacement, `Y_1 = a cosomegat and Y_2 = a cos(omegat+phi)` at a point produce a resultant intensity, `I = 4a^2 cos^2 phi//2` Hence, write the conditions for the appearance of dark and bright
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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
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Monochromatic light of wavelength 632.8 nm is produced by a helium-neon laser. The power emitted is 9.42 mW. Find the energy and momentum of each photon in the light
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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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Derive an expression for debroglie wavelength of an
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Define threshold wavelength for photoelectric effect? Debroglie wavelength associated with an electron associated through a potential difference V isλ ? What will be the new wavelength when the accelerating potential is increase to
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A charged rod P attracts rod R where as P repels another charged rod Q. What type of force is developed between Q and
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A particle of mass m and charge q is released form rest in a uniform electric field of intensity E. calculate the kinetic energy it attains after moving a distance s between the
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(a) What is an equi-potential surface? Show that the electric field is always directed perpendicular to an equi-potential surface. (b) Derive an expression for the potential at a point along the axial line of a short electric
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Force of attraction between two point electric charges placed at a distance d in a medium is F. What distance apart should these be kept in the same medium, so that force between them becomes
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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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What is the speed of ball when rod becomes vertical? A thin homogeneous rod of mass m and length `l` is free to rotate in vertical plane about a horizontal axle pivoted at one end of the rod. A small ball of mass m and charge q is attached to the opposite end of this rod. The whole system is positioned in a constant horizontal electric field of magnitude mg `E=(mg)/(2q)`. The rod is released from shown position from
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chapter2
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What amount of heat must be supplied to `2.0 × 10^(–2)` kg of nitrogen (at room temperature) to raise its temperature by 45 °C at constant pressure ? (Molecular mass of `N_2` = 28; R = 8.3 J mo`l^(–1)`
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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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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 device ‘X’ is connected to an a.c source. The variation of voltage, current and power in one complete cycle is shown in Fig . What is the average power consumption over a
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Both alternating current and direct current are measured in amperes. But how is the ampere defined for an alternating
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