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On the basis of Huygens' wave theory of light prove that velocity of light in a rarer medium is greater than velocity of light in a denser medium.
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The equation of simple harmonic progressive wave is given by `y=0.05sinpi[20t-x/6]` where all quantities are in S. I. units. Calculate the displacement of a particle at 5 m from origin and at the instant 0.1 second.
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Show that the orbital magnetic dipole moment of a revolving electron is `(eVr)/2`
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An ideal voltmeter has _______.
(A) low resistance
(b) high resistance
(C) infinite resistance
(D) zero resistance
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Write the functions of the following in communication systems:
Transmitter
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Write the functions of the following in communication systems:
Receiver
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In a damped harmonic oscillator, periodic oscillations have _______ amplitude.
(A) gradually increasing
(B) suddenly increasing
(C) suddenly decreasing
(D) gradually decreasing
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A sine wave of wavelength λ is travelling in a medium. What is the minimum distance between two particles of the medium which always have the same speed?
(A)`lambda`
(B)`lambda/2`
(C)`lambda/3`
(D)`lambda/4`
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Prove that root mean square velocity of gas molecule is directly proportional to the square root of its absolute temperature.
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A solid sphere of mass 1 kg rolls on a table with linear speed 2 m/s, find its total kinetic energy.
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The total energy of free surface of a liquid drop is 2π times the surface tension of the liquid. What is the diameter of the drop? (Assume all terms in SI unit).
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Explain how moving coil galvanometer is converted into a voltmeter. Derive the necessary formula.
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A rectangular coil of a moving coil galvanometer contains 100 turns, each having area
15 cm2. It is suspended in the radial magnetic field 0.03 T. The twist constant of suspension
fibre is 15 x 10-10 N-m/degree. Calculate the sensitivity of the moving coil galvanometer.
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An electron in an atom revolves around the nucleus in an orbit of radius 0.53 Å. If the frequency of revolution of an electron is 9 x109 MHz, calculate the orbital angular momentum
[Given : Charge on an electron = 1.6 x 10–19 C; Gyromagnetic ratio = 8.8 x 1010 C/kg; π = 3.142]
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If the angular speed of the earth is 7.26 x 10–5 rad/s and radius of the earth is 6,400 km,
calculate the change in weight of 1 kg of mass taken from equator to pole.
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At what temperature will average kinetic energy of gas be exactly half of its value at N.T.P.?
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Define surface tension and surface energy.
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Assuming the expression for displacement of a particle starting from extreme position, explain graphically the variation of velocity and acceleration w.r.t. time.
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If a rigid body of radius ‘R’ starts from rest and rolls down an inclined plane of inclination
‘θ’ then linear acceleration of body rolling down the plane is _______.
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If the total kinetic energy per unit volume of gas enclosed in a container is E, the pressure exerted by the gas is
(A) E
(B) 3/2 E
(C) `sqrt3E`
(D) 2/3E
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