A Hydrogen Atom Initially in the N = 6 State

question 44

Multiple Choice

A hydrogen atom initially in the n = 6 state decays to the n = 2 state. The emitted photon is detected in a photographic plate. What is the wavelength of the detected photon? The lowest level energy state of hydrogen is -13.6 eV. (h = 6.626 × 10^-34 J ∙ s, 1 eV = 1.60 × 10^-19 J, c = 3.00 × 10⁸ m/s)

• A) 410 nm
• B) 93.8 nm
• C) 1090 nm
• D) 93.1 nm

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Definitions:

Division

An arithmetic operation where a number is divided by another, resulting in a quotient and possibly a remainder.

Exponentiation

An operation in mathematics that uses two values, the base and the exponent, with the base being repeatedly multiplied by itself a number of times equal to the exponent.

Exponentiation

A mathematical operation, written as a^b, involving two numbers, the base (a) and the exponent (b), where the base is multiplied by itself the exponent number of times.

Division

The process of assigning or distributing something into separate parts or groups.