Chapter 11.2, Problem 12R

To determine

To express: The range of wavelengths corresponding to UV waves, X-rays, visible light in scientific notations.

Answer to Problem 12R

Scientific notation for the wavelength of UV waves: $\text{1}{\text{.0 × 10}}^{\text{-8}}\text{m}$ to $\text{4}{\text{.0 × 10}}^{\text{-7}}\text{m}$ .

Scientific notation for the wavelength of X-rays: $\text{1}{\text{.0 × 10}}^{\text{-11}}\text{m}$ to $\text{1}{\text{.0 × 10}}^{\text{-8}}\text{m}$ .

Scientific notation for the wavelength of a visible light: $\text{3}{\text{.8 × 10}}^{\text{-7}}\text{m}$ to $\text{7}{\text{.0 × 10}}^{\text{-7}}\text{m}$ .

Explanation of Solution

Introduction:

Method through which scientists easily write large or small numbers is known as Scientific notation. It is a standard method to write any number.

The range of wavelengths corresponding to UV waves, X-rays, visible light in scientific notation:

UV waves: The range of wavelengths is $\text{100-400 nm}$ . Scientific notation of this range is $\text{1}{\text{.0 × 10}}^{\text{-8}}\text{m}$ to $\text{4}{\text{.0 × 10}}^{\text{-7}}\text{m}$ .

X-rays: The range of wavelengths is $\text{0}\text{.01-10 nm}$ . Scientific notation of this range is $\text{1}{\text{.0 × 10}}^{\text{-11}}\text{m}$ to $\text{1}{\text{.0 × 10}}^{\text{-8}}\text{m}$ .

Visible light: The range of wavelengths is $\text{380-700 nm}$ . Scientific notation of this range is $\text{3}{\text{.8 × 10}}^{\text{-7}}\text{m}$ to $\text{7}{\text{.0 × 10}}^{\text{-7}}\text{m}$ .