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The frequency order of for gamma-rays (b...

The frequency order of for `gamma`-rays (b) X-rays (a) UV-rays (c ):

A

`b gt a gt c`

B

`a gt b gt c`

C

`c gt b gt a`

D

`a gt c gt b`

Text Solution

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The correct Answer is:
To determine the frequency order of gamma rays, X-rays, and UV rays, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Energy-Frequency Relationship**: - The energy (E) of electromagnetic radiation is related to its frequency (ν) by the equation: \[ E = h \nu \] where \( h \) is Planck's constant. 2. **Identify the Energy Order**: - Generally, the order of energy for electromagnetic waves from highest to lowest is: - Gamma rays > X-rays > UV rays - This means gamma rays have the highest energy, followed by X-rays, and then UV rays. 3. **Relate Energy to Frequency**: - Since energy is directly proportional to frequency, we can conclude: \[ \text{If } E \text{ is high, then } \nu \text{ is also high.} \] - Therefore, the frequency order will follow the same order as the energy. 4. **Establish the Frequency Order**: - Based on the energy order: - Gamma rays (highest energy) correspond to the highest frequency. - X-rays (medium energy) correspond to a medium frequency. - UV rays (lowest energy) correspond to the lowest frequency. - Thus, the frequency order is: \[ \text{Gamma rays} > \text{X-rays} > \text{UV rays} \] 5. **Final Representation**: - We can denote the frequency order as: - Gamma rays (B) > X-rays (A) > UV rays (C) ### Conclusion: The correct order of frequency is: \[ \text{Gamma rays (B)} > \text{X-rays (A)} > \text{UV rays (C)} \]
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