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Calculate the radius of the first Bohr orbit in the hydrogen atom.
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Assuming the expression for the pressure P exerted by an ideal gas, prove that the kinetic energy per unit volume of the gas is `3/2` P.
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What is the origin of spectral lines? Obtain an expression for the wave number of a line in hydrogen spectrum.
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What is the effect of decreasing the current through the potentiometer on the null point?
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Find the momentum of the electron having de Broglie wavelength of 0.5 A.
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For a particle performing circular motion, when is its angular acceleration directed opposite to its angular velocity?
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What is a stationary wave?
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Given the nuclear radius of 16O is 3.024 fm, find that of 235U.
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Show that the angular speed of an electron in the nth Bohr orbit is w = `(πme^4)/(2ε_0^2h^3n^3)` and the corresponding frequency of the revolution of the electron is f = `(me^4)/(4ε_0^2h^3n^3)`.
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State and prove the theorem of the parallel axis about the moment of inertia.
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A particle carrying 8 electron charges starts from rest and is accelerated through a potential difference of 9000 V. Calculate the KE acquired by it in keV.
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State the expressions for the displacement, velocity and acceleration draw performing linear SHM, starting from the positive extreme position. Hence, their graphs with respect to time.
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The half-life of `""_82^210Pb` is 22.3 y. How long will it take for its activity 0 30% of the initial activity?
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What should be the diameter of a soap bubble such that the excess pressure inside it is 51.2 Pa? [Surface tension of soap solution = 3.2 × 10−2 N/m]
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According to the kinetic theory of gases, at a given temperature, molecules of all gases have the same ______.
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Define the coercivity of a magnetic material.
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What is the radius of gyration of a right circular cone of base radius R for rotation about the central symmetry axis of the cone?
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State the expression for the total energy of SHM in terms of acceleration.
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Prove the theorem of perpendicular axes about the moment of inertia.
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Compute the shortest and the longest wavelength in the Lyman series of hydrogen atom.
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