A small particle of mass m moves in such a way that the potential energy U = `ar^(2)` where a is a constant and r is the distance of the particle from the origin. Assuming Bohr's model of quantization of angular momentum and circular orbits, find the radius of `n^(th)` allowed orbit.
A
`n^(2)`
B
n
C
`sqrt(n)`
D
none of these
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A small particle of mass ‘m? moves in such a way that P.E. =-1/2 mkr^2 , where ‘k’ is a constant and ‘r. is the distance of the particle from origin. Assuming Bohr.s model of quantization of angular momentum and circular orbit, .r. is directly proportional to :
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B
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D
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For a hypothetical hydrogen like atom, the potential energy of the system is given by U(r) = (-Ke^2)/(r^3) ,where r is the distance between the two particles, If Bohr.s model of quantization of angular momentum is applicable then velocity of particle is given by:
A
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B
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D
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