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Q. 4

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1081

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Short Answer

Two of the wavelengths emitted by a hydrogen atom are and .

a. What are the and values for each of these wavelengths?

b. For each of these wavelengths, is the light infrared, visible, or ultraviolet?

a. For and .

For and .

b. 1) Ultraviolet

2) Infrared

See the step by step solution

Step by Step Solution

Part (a) Step 1: Given Information

We have given that wavelengths and .

Part (a) Step 2: Evaluation

Formula for calculating wavelength is given as:

substituting

comparing we can see that satisfies the above equation.

substituting

comparing we can see that satisfies the above equation.

Part (b) Step 1: Given information

We have given that wavelengths and .

Part (b) Step 2: Evaluation

has which corresponds to lyman series and all lines in lyman series lie in ultraviolet region of electromagnetic spectrum.

has which corresponds to paschen series and all in paschen series lie in infrared region of electromagnetic spectrum.

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