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A block of mass m, connected to two springs of spring constants k1 and k2 as shown, oscillates on a smooth horizontal surface. What is the effective spring constant of the oscillation?

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A metal ring has a moment of inertia 2 kg·m2 about a transverse axis through its centre. It is melted and recast into a thin uniform disc of the same radius. What will be the disc's moment of inertia about its diameter?
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A uniform disc of mass 10 kg and radius 60 cm rotates about an axis perpendicular to its plane and passing through its centre at 1200 rpm. Calculate its rotation kinetic energy. [Take π2 = 10]
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Draw a phasor diagram showing e and i in the case of a purely inductive circuit. A 40-turn square coil of side 0.2 m is placed in a magnetic field of induction 0.05 T with the plane of the coil perpendicular to the direction of the field. If the magnetic induction is uniformly reduced to zero in 5 milliseconds, find the emf induced in the coil.
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State and prove the theorem of the parallel axis about the moment of inertia.
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A particle performs linear SHM with amplitude A and frequency n. Its speed midway between an extreme position and equilibrium position is ______.
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When a thin hollow sphere rolls without slipping on a flat surface, the fraction of its total energy associated with rotation is ______.
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Light of a certain colour has 2500 waves to the millimetre in air. What is its frequency?
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Derive an expression for the emf induced in a straight conductor moving in a uniform magnetic field with constant velocity.
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Explain in brief the basic construction of a moving-coil table galvanometer whit a neat labelled diagram.
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Prove the theorem of perpendicular axes about the moment of inertia.
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In a double-slit experiment using monochromatic light, the fringe pattern shifts by a certain distance on the screen when a mica sheet with a refractive index of 1.6 and thickness of 1.964 µm covers one of the slits. The mica sheet is then removed and the slits-to-screen distance is doubled so that the new fringe width is the same as the observed fringe shift with the mica sheet. Calculate the wavelength of the monochromatic light used.
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The law of equipartition of energy is valid for ______.
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A resistance of 3Ω is connected in parallel to a galvanometer of resistance 297Ω. Find the fraction of current passing through the galvanometer.
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A ray of light is incident on a water surface of refractive index `4/3` making an angle of 40° with the surface. Find the angle of refraction.
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Describe Davission and Germer experiment.
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Explain how nuclear size of an atom is estimated.
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When a monochromatic light passes through a slit 0.2 mm wide and falls on a screen 3.5 m away, the first minimum of the diffraction pattern is 9.1 mm from the centre of the central maximum. The wavelength of the light is ______.
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What is mean by Hydrostatic paradox?
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Show that force on a closed circuit in a magnetic field is zero.
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