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PhysicsModern PhysicsAtomic structureHard2 minPYQ_2012

PhysicsHardsingle choice

A diatomic molecule is made of two masses $m_{1}$ and $m_{2}$ which are separated by a distance $r$ . If we calculate its rotational energy by applying Bohr's rule of angular momentum quantization, its energy will be given by ( $n$ is an integer)

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Answer:

Solution:

$r_{1} = \frac{m _{2} r}{m _{1} + m _{2}}; r_{2} = \frac{m _{1} r}{m _{1} + m _{2}}$ $(l_{1} + l_{2}) ω = \frac{nh}{2 π} = nh$ $K . E = \frac{1}{2} (l_{1} + l_{2}) ω^{2} = \frac{n ^{2} h ^{2} ( m _{1} + m _{2} )}{2 m _{1} m _{2} r ^{2}}$

Stream:JEESubject:PhysicsTopic:Modern PhysicsSubtopic:Atomic structure

⏱ 2mℹ️ Source: PYQ_2012

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