find wavelength of emitted radiation when electron of helium ion transist from 3 energy level to 1 energy level
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Answer:
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Explanation:
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Given:
n₁ = 3
n₂ = 1
To Find:
The wavelength of emitted radiation when electron of helium ion undergoes a transition from 3rd to 1st energy level.
Calculation:
- For Helium, Z = 2
- The energy change is given as:
ΔE = E1 - E2
⇒ hc/λ = -2.18 × 10⁻¹⁸ × Z² × {(1/n₁²) - (1/n₂²)}
⇒ 6.63 × 10⁻³⁴ × 3 × 10⁸ /λ = -2.18 × 10⁻¹⁸ × 2² × {(1/3²) - (1/1²)}
⇒ 19.89 × 10⁻²⁶ /λ = 8.72 × 10⁻¹⁸ × 8/9
⇒ λ = 19.89 × 10⁻²⁶× 9 / 8.72 × 10⁻¹⁸ × 8
⇒ λ = 2.566 × 10⁻⁸ m
⇒ λ = 2566 × 10⁻⁹ m
⇒ λ = 2566 nm
- So, the wavelength of emitted radiation when electron undergoes transition from 3rd to 1st state is 2566 nm.
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