Question

The wavelength of \(\mathrm{x}\) rays is of the order of (A) \(10^{-3} \mathrm{~m}\) (B) \(10^{-5} \mathrm{~m}\) (C) \(10^{-10} \mathrm{~m}\) (D) \(10^{-12} \mathrm{~m}\)

Short answer

The wavelength of x-rays falls within the range of approximately \(10^{-10}\) meters to \(10^{-8}\) meters. Comparing the given options, option (C) \(10^{-10} \mathrm{~m}\) is the correct choice as it falls within the x-ray wavelength range.

Step-by-step solution

Recall the wavelength range of x-rays

X-rays have wavelengths in the range of approximately \(10^{-10}\) meters to \(10^{-8}\) meters.

Compare given options to the range of x-ray wavelengths

Now that we know the range of wavelengths for x-rays, let's compare the given options to this range: (A) \(10^{-3} \mathrm{~m}\) - This option is too large to be the wavelength of x-rays. (B) \(10^{-5} \mathrm{~m}\) - This option is also too large for x-ray wavelengths. (C) \(10^{-10} \mathrm{~m}\) - This option falls within the x-ray wavelength range. (D) \(10^{-12} \mathrm{~m}\) - This option is too small to be the wavelength of x-rays.

Choose the correct option

Since option (C) \(10^{-10} \mathrm{~m}\) falls within the range of x-ray wavelengths, it is the correct choice.