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There are three wavelengths, 10^(6)m, 10...

There are three wavelengths, `10^(6)m, 10^(-10) m and 10^(-7)` m find their respective names :

A

Radio waves, X-rays, visible rays

B

X-rays, visible rays, Radio waves

C

X-rays, -rays, visible rays

D

Visible rays, -rays and X-rays

Text Solution

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The correct Answer is:
To find the respective names of the given wavelengths \(10^{6} \, \text{m}\), \(10^{-10} \, \text{m}\), and \(10^{-7} \, \text{m}\), we will categorize them based on the electromagnetic spectrum. ### Step-by-Step Solution: 1. **Identify the Wavelengths**: - We have three wavelengths: - \( \lambda_1 = 10^{6} \, \text{m} \) - \( \lambda_2 = 10^{-10} \, \text{m} \) - \( \lambda_3 = 10^{-7} \, \text{m} \) 2. **Determine the Category for \( \lambda_1 = 10^{6} \, \text{m} \)**: - The wavelength \(10^{6} \, \text{m}\) is equivalent to 1 km. - This falls within the range of radio waves, which typically have wavelengths from about \(10^{3} \, \text{m}\) (1 km) to \(10^{7} \, \text{m}\) (100 m). - **Conclusion**: \(10^{6} \, \text{m}\) is classified as a **Radio Wave**. 3. **Determine the Category for \( \lambda_2 = 10^{-10} \, \text{m} \)**: - The wavelength \(10^{-10} \, \text{m}\) is equivalent to 0.1 nm (nanometers). - This wavelength falls within the range of X-rays, which typically range from about \(10^{-9} \, \text{m}\) (1 nm) to \(10^{-11} \, \text{m}\) (0.1 nm). - **Conclusion**: \(10^{-10} \, \text{m}\) is classified as an **X-Ray**. 4. **Determine the Category for \( \lambda_3 = 10^{-7} \, \text{m} \)**: - The wavelength \(10^{-7} \, \text{m}\) is equivalent to 100 nm. - This wavelength falls within the visible light spectrum, which ranges from approximately \(400 \, \text{nm}\) (violet) to \(700 \, \text{nm}\) (red). - **Conclusion**: \(10^{-7} \, \text{m}\) is classified as **Visible Light**. ### Final Summary: - \(10^{6} \, \text{m}\) → **Radio Wave** - \(10^{-10} \, \text{m}\) → **X-Ray** - \(10^{-7} \, \text{m}\) → **Visible Light**
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