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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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For a glass plate as a polariser with refractive index 1.633, calculate the angle of incidence at which light is polarised.
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If the critical angle of a medium is sin-1(3/5), find the polarising angle.
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An ideal voltmeter has _______.
(A) low resistance
(b) high resistance
(C) infinite resistance
(D) zero resistance
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Describe, with the help of a circuit diagram, the working of Zener diode as a voltage regulator.
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Stretching of a rubber band results in _______.
(A) no change in potential energy.
(B) zero value of potential energy.
(C) increase in potential energy.
(D) decrease in potential energy.
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A body cools at the rate of 0.5°C / minute when it is 25° C above the surroundings. Calculate the rate of cooling when it is 15°C above the same surroundings.
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Prove the law of conservation of energy for a particle performing simple harmonic motion.Hence graphically show the variation of kinetic energy and potential energy w. r. t. instantaneous displacement.
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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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Within the elastic limit, find the work done by a stretching force on a wire.
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A set of 12 tuning forks is arranged in order of increasing frequencies. Each fork produces Y beats per second with the previous one. The last is an octave of the first. The fifth fork
has a frequency of 90 Hz. Find Y and frequency of the first and the last tuning forks.
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If the Earth completely loses its gravity, then for any body _______.
(A) both mass and weight become zero.
(B) neither mass nor weight become zero.
(C) weight becomes zero but not the mass.
(D) mass becomes zero but not the weight.
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Draw a neat, labeled diagram showing different layers of the Earth’s atmosphere.
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The refractive indices of glass and water w.r.t. air are 3/2 and 4/3 respectively. Determine the refractive index of glass w.r.t. water.
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A sonometer wire vibrates with three nodes and two antinodes, the corresponding mode of vibration is ...................
a) First overtone
b) Second overtone
c) Third overtane
d) Fourth overtone
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The fraction of the total current passing through the galvanometer is ............ .
a) `S/(S+G)`
b) `G/(S+G)`
c) `(S+G)/G`
d) `(S+G)/S`
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A moving coil galvanometer has a resistance of 25Ω and gives a full scale deflection for a current of 10mA. How will you convert it into a voltmeter having range 0 - 100 V?
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The kinetic energy of nitrogen per unit mass at 300 K is 2.5 × 106 J/kg. Find the kinetic energy of 4 kg oxygen at 600 K. (Molecular weight of nitrogen = 28, Molecular weight of oxygen = 32)
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