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Wave number is...

Wave number is

A

`lamda `

B

`1/ lamda `

C

`(c )/(lamda)`

D

` lamda xx v `

Text Solution

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The correct Answer is:
### Step-by-Step Solution: 1. **Understanding Wave Number**: - Wave number is defined as the number of wavelengths per unit distance. It quantifies how many wavelengths fit into a given length. 2. **Symbol and Units**: - The symbol for wave number is represented as \( \tilde{\nu} \) (nu bar). - The unit of wave number is typically given in reciprocal centimeters (cm\(^{-1}\)). 3. **Mathematical Representation**: - The wave number \( \tilde{\nu} \) is mathematically expressed as: \[ \tilde{\nu} = \frac{1}{\lambda} \] - Here, \( \lambda \) represents the wavelength. 4. **Identifying the Correct Option**: - Given the options, we need to identify which one correctly represents wave number: - Option A: \( \lambda \) (Incorrect) - Option B: \( \frac{1}{\lambda} \) (Correct) - Option C: \( \frac{C}{\lambda} \) (Incorrect, as \( C \) is the speed of light) - Option D: \( \lambda \cdot \nu \) (Incorrect) 5. **Conclusion**: - The correct answer is Option B: \( \frac{1}{\lambda} \).
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