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Explain why an astronaut in an orbiting satellite has a feeling of weightlessness.
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State the theorem of perpendicular axes about moment of inertia.
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Calculate the average molecular kinetic energy :
(a) per kilomole, (b) per kilogram, of oxygen at 27°C.
(R = 8320 J/k mole K, Avogadro's number = 6*03 x 1026 molecules/K mole)
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What are the forced vibrations and resonance?
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Obtain an expression for potential energy of a particle performing simple harmonic motion. Hence evaluate the potential energy
- at mean position and
- at extreme position.
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State an expression for the moment of intertia of a solid uniform disc, rotating about an axis passing through its centre, perpendicular to its plane. Hence derive an expression for the moment of inertia and radius of gyration:
i. about a tangent in the plane of the disc, and
ii. about a tangent perpendicular to the plane of the disc.
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A sonometer wire is in unison with a tuning fork of frequency 125 Hz when it is stretched by a weight. When the weight is completely immersed in water, 8 beats are heard per second. Find the specific gravity of the material of the weight.
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A rectangular coil of a moving coil galvanometer contains 50 turns each having area 12 cm2 . It is suspended in radial magnetic field 0.025 Wb/m2 by a fibre of twist constant 15 x10-10 Nm/degree. Calculate the sensitivity of the moving coil galvanometer.
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Distinguish between forced vibrations and resonance.
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Show that the current flowing through a moving coil galvanometer is directly proportional to the angle of deflection of coil.
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Prove the theorem of parallel axes about moment of inertia
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Write the underlying principle of a moving coil galvanometer.
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Differentiate between free and forced vibrations.
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A train blows a whistle of frequency 640 Hz in air. Find the difference in apparent frequencies of the whistle for a stationary observer, when the train moves towards and away from the observer with the speed of 72 Km/hour. [Speed of sound in air = 340 m/s.]
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Draw a neat labelled diagram of a parallel plate capacitor completely filled with dielectric.
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Obtain the expression for current sensitivity of moving coil galvanometer.
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A circular coil of 250 turns and diameter 18 cm carries a current of 12A. What is the magnitude of magnetic moment associated with the coil?
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State an expression for K. E. (kinetic energy) and P. E. (potential energy) at displacement ‘x’ for a particle performing linear S.H. M. Represent them graphically. Find the displacement at which K. E. is equal to P. E.
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Let n1 and n2 be the two slightly different frequencies of two sound waves. The time interval between waxing and immediate next waning is ______.
(A) `1/(n_1-n_2)`
(B) `2/(n_1-n_2)`
(C) `(n_1-n_2)/2`
(D) `1/(2(n_1-n_2))`
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