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PhysicsModern PhysicsAtomic structureMedium2 minQB

PhysicsMediumsingle choice

Which among the following has a hydrogen-like spectrum and whose lines have wavelengths four times shorter than those of atomic hydrogen?

Answer:

Solution:

For corresponding hydrogen-like transitions,

$\frac{1}{λ} = R Z^{2} (\frac{1}{n _{1}^{2}} - \frac{1}{n _{2}^{2}})$

$\frac{λ ^{'}}{λ} = \frac{1}{Z ^{2}} = \frac{1}{4}$

$Z = 2$

The required species is singly ionized helium.

Stream:JEESubject:PhysicsTopic:Modern PhysicsSubtopic:Atomic structure

⏱ 2mℹ️ Source: QB

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