Question

What is the wave length of range of electromagnetic waves? (A) \(10^{-8} \mathrm{~m}\) to \(10^{15} \mathrm{~m}\) (B) \(10^{-15} \mathrm{~m}\) to \(10^{8} \mathrm{~m}\) (C) \(10^{-15} \mathrm{~m}\) to \(10^{15} \mathrm{~m}\) (D) \(10^{8} \mathrm{~m}\) to \(10^{15} \mathrm{~m}\)

Short answer

None of the given options are correct. The correct wavelength range of electromagnetic waves is from \(10^{-15} \mathrm{~m}\) to \(10^4 \mathrm{~m}\).

Step-by-step solution

Recalling the Wavelength Range of Different Types of Electromagnetic Waves

The different types of electromagnetic waves and their approximate wavelength ranges are: 1. Radio waves: \(10^1 \mathrm{~m}\) to \(10^4 \mathrm{~m}\) 2. Microwaves: \(10^{-3} \mathrm{~m}\) to \(10^1 \mathrm{~m}\) 3. Infrared: \(7×10^{-7} \mathrm{~m}\) to \(10^{-3} \mathrm{~m}\) 4. Visible light: \(4×10^{-7} \mathrm{~m}\) to \(7×10^{-7} \mathrm{~m}\) 5. Ultraviolet: \(10^{-8} \mathrm{~m}\) to \(4×10^{-7} \mathrm{~m}\) 6. X-rays: \(10^{-11} \mathrm{~m}\) to \(10^{-8} \mathrm{~m}\) 7. Gamma rays: \(10^{-15} \mathrm{~m}\) to \(10^{-11} \mathrm{~m}\)

Determine the Overall Wavelength Range

Now, let's determine the range that covers the complete spectrum of electromagnetic waves. In order to find the minimum and maximum values of the wavelength range, we need to consider the lowest wavelength value and the highest wavelength value from all the wave types mentioned in step 1: Minimum Wavelength: \(10^{-15} \mathrm{~m}\) (from gamma rays) Maximum Wavelength: \(10^4 \mathrm{~m}\) (from radio waves) This covers the entire range of electromagnetic waves.

Select the Correct Option

We have found that the wavelength range of electromagnetic waves is from \(10^{-15} \mathrm{~m}\) to \(10^4 \mathrm{~m}\). Examining the given options: (A) \(10^{-8} \mathrm{~m}\) to \(10^{15} \mathrm{~m}\) - Incorrect, as minimum value should be \(10^{-15} \mathrm{~m}\) and maximum value should be \(10^4 \mathrm{~m}\) (B) \(10^{-15} \mathrm{~m}\) to \(10^8 \mathrm{~m}\) - Incorrect, as maximum value should be \(10^4 \mathrm{~m}\) (C) \(10^{-15} \mathrm{~m}\) to \(10^{15} \mathrm{~m}\) - Incorrect, as maximum value should be \(10^4 \mathrm{~m}\) (D) \(10^8 \mathrm{~m}\) to \(10^{15} \mathrm{~m}\) - Incorrect, as minimum value should be \(10^{-15} \mathrm{~m}\) and maximum value should be \(10^4 \mathrm{~m}\) It appears that none of the given options match the correct wavelength range of electromagnetic waves, which we determined to be from \(10^{-15} \mathrm{~m}\) to \(10^4 \mathrm{~m}\).