Calculate the frequency, in hertz (level n = 10 to level n = 5)

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To calculate the frequency of a photon emitted when an electron transitions from level n = 10 to level n = 5 in a hydrogen atom, the Rydberg formula is applied. The wavelength is determined using λ = 1 / [1.09678×10⁷ m⁻¹ ∙ (1/5² - 1/10²)], resulting in λ = 3.0392×10⁻⁶ m. The frequency is then calculated by converting the wavelength to hertz, yielding a result of approximately 9.89e14 Hz. However, there is confusion regarding the accuracy of the wavelength calculation. Verifying the math and ensuring correct unit conversions is essential for obtaining the right frequency.
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Calculate the frequency, in hertz, of the photon that is emitted when a electron falls from level n = 10 to level n = 5 in the H atom.

Enter a numeric answer only, no units.


I tried asking in other places but ppl are so ambiguous about it.
:( please help me.

I used rydberg formula:
1/λ = RH ∙ (1/n₁² - 1/n₂²)
(RH rydberg constant for hydrogen, n₁ lower level, n₂ higher level)

Hence:
λ = 1/ [ 1.09678×10⁷m⁻¹ ∙ (1/5² - 1/10²) ] = 3.0392×10⁻⁶m

and then I converted to Hz = 9.89e14 but i still GOT IT wrong :( Please help me someone!
 
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Check your math, 10-6m doesn't look correct.

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