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Multiple Choice
The electron in a hydrogen atom absorbs a photon causing the electron to jump from the state n = 2 to the state n = 5. The frequency of the absorbed photon was __________ x 10^14 Hz.
A
7.12
B
3.29
C
6.17
D
4.57
Verified step by step guidance
1
Understand that the problem involves an electron transition in a hydrogen atom, which can be analyzed using the Rydberg formula for hydrogen: , where is the Rydberg constant and is the principal quantum number.
Calculate the energy difference between the two states using the formula: , where and .
Convert the energy difference to frequency using the relation , where is Planck's constant and is the frequency.
Rearrange the formula to solve for frequency: .
Substitute the calculated energy difference and Planck's constant into the equation to find the frequency of the absorbed photon.