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PhysicsModern PhysicsAtomic structureMedium2 minPYQ_2010

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The product of linear momentum and angular momentum of an electron of the hydrogen atom is proportional to $n^{x}$ , where $x$ is

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Solution:

Linear momentum $= m v = \frac{m c Z}{137 n}$ Angular momentum $= \frac{nh}{2 π}$ Given, Linear momentum $\times$ angular momentum $\propto n^{x}$ $\frac{n c Z}{137 n} \times \frac{nh}{2 π} \propto n^{x}$ $n^{0} \propto n^{x}$ $\Rightarrow x = 0$

Stream:MHT_CETSubject:PhysicsTopic:Modern PhysicsSubtopic:Atomic structure

⏱ 2mℹ️ Source: PYQ_2010

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