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In an AC series L-C-R circuit, applied voltage is `V= {100sqrt2 sin (omegat + 45°)} V` Given that, `R - 30 Omega, X_L = 50 Omega and X_c = 10 Omega.` Now match the following two columns. Column I Column II A. Current in the circuit p. 120 SI units B. Power dissipated in the circuit q. 60 SI units C. Potential difference across resistance r. 2 SI units D. Potential difference across inductance s. None
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chapter7
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At what angle should a ray of light be incident on the face of a prism of refracting angle 60° so that it just suffers total internal reflection at the other face? The refractive index of the material of the prism is
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If light passes near a massive object, the gravitational interaction causes a bending of the ray. This can be thought of as happening due to a change in the effective refrative index of the medium given by n(r) = 1 + 2 GM/rc2 where r is the distance of the point of consideration from the centre of the mass of the massive body, G is the universal gravitational constant, M the mass of the body and c the speed of light in vacuum. Considering a spherical object find the deviation of the ray from the original path as it
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Assume that light of wavelength 6000Å is coming from a star. What is the limit of resolution of a telescope whose objective has a diameter of 100
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Answer the following questions: Two students are separated by a 7 m partition wall in a room 10 m high. If both light and sound waves can bend around obstacles, how is it that the students are unable to see each other even though they can converse
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The wavelength of light in the visible region is about 390 nm for violet colour, about 550 nm (average wavelength) for yellowgreen colour and about 760 nm for red colour. What are the energies of photons in (eV) at the (i) violet end, (ii) average wavelength, yellow-green colour, and
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An electron and a photon each have a wavelength of 1.00 nm. Find the kinetic energy of
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State the law of equi-partition of
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What is the time period for the following?
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chapter14
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An electric field is uniform, and in the positive x direction for positive x, and uniform with the same magnitude but in the negative x direction for negative x. It is given that E = 200 `hati` N/C for x > 0 and E = –200` hati` N/C for x < 0. A right circular cylinder of length 20 cm and radius 5 cm has its centre at the origin and its axis along the x-axis so that one face is at x = +10 cm and the other is at x = –10 cm (Fig. ).
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The electrostatic force on a small sphere of charge 0.4 µC due to another small sphere of charge –0.8 µC in air is 0.2 N. What is the distance between the two
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Two insulated charged copper spheres A and B have their centres separated by a distance of 50 cm. If the charge on each is 6.5 × 10–7 C? The radii of A and B are negligible compared to the distance of separation. (a)What is the mutual force of electrostatic
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A rod of mass m and resistance R slides smoothly over two parallel perfectly conducting wires kept sloping at an angle θ with respect to the horizontal (Fig. ). The circuit is closed through a perfect conductor at the top. There is a constant magnetic field B along the vertical direction. If the rod is initially at rest, find the velocity of the rod as a function of
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For an LCR circuit driven at frequency ω, the equation reads`L (dl)/(dt)+Ri+q/c= V_i= V_m sinωt` Cast the equation in the form of a conservation of energy
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An alternating current is given by the `eq^n` I = I1 coswt + I2 sinwb. The rms current is given
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If `V = 100 sin 100 t volt and I = 100 sin (100 t +pi/3) mA` for an A.C. circuit then find out(a) phase difference between V and I (b) total impedance, reactance, resistance(c) power factor and power dissipated (d) components contains by
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A magnetic field set up using Helmholtz coils (described in Exercise 4.16) is uniform in a small region and has a magnitude of 0.75 T. In the same region, a uniform electrostatic field is maintained in a direction normal to the common axis of the coils. A narrow beam of (single species) charged particles all accelerated through 15 kV enters this region in a direction perpendicular to both the axis of the coils and the electrostatic field. If the beam remains undeflected when the electrostatic field is 9.0 × 10–5 V m–1, make a simple guess as to what the
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A galvanometer coil has a resistance of 12 Ω and the metre shows full scale deflection for a current of 3 mA. How will you convert the metre into a voltmeter of range 0 to 18
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A magnetised needle in a uniform magnetic field experiences a torque but no net force. An iron nail near a bar magnet, however, experiences a force of attraction in addition to a torque.
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A closely wound solenoid of 2000 turns and area of cross-section 1.6 × 10 –4 m2 , carrying a current of 4.0 A, is suspended through its centre allowing it to turn in a horizontal plane.(i) What is the magnetic moment associated with the solenoid?(ii) What is the force and torque on the solenoid if a uniform horizontal magnetic field of 7.5 × 10–2 T is set up at an angle of 30° with the axis of the
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