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E₁ = - 2.18 × 10⁻¹¹ ergs
En = E₁ / n²
E₅ = (-2.18 × 10⁻¹¹) / 5²
E₅ = (-2.18 × 10⁻¹¹) / 25 = - 8.72 × 10⁻¹³
ΔE = E₅ - E₁
= - 8.72 × 10⁻¹³ - (- 2.18 × 10⁻¹¹) = 2.09828 × 10⁻¹¹ ergs.
1 ergs = 10⁻⁷ joules
Converting in joules :
2.09828 × 10⁻¹¹ × 10⁻⁷ = 2.09828 × 10⁻¹⁸ Joules
ΔE = hc/y
Y = wavelength
h = planks constant = 6.62 × 10⁻³⁴
c = speed of light = 3.0 × 10⁸
Doing the substitution we have :
2.09828 × 10⁻¹¹ = (6.62 × 10⁻³⁴ × 3 × 10⁸) / Y
Y = (6.62 × 10⁻³⁴ × 3 × 10⁸) / (2.09828 × 10⁻¹¹) = 9.465 × 10⁻¹⁵ cm
= 9.465 × 10⁻¹⁵ cm
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which class question is it'
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