Question

visible region, and three regions, ultraviolet, x - ray, and gamma ray have higher frequency (or shorter wavelength). the visible region, defined as the part of the electromagnetic spectrum observable by the human eye, spans the wavelength region of about 720 - 380 nanometers (nm, 1 nm = 1×10⁻⁹ m). the color ordering of visible light from low to high frequency (or long to short wavelength) is red (720 - 630 nm), orange (630 - 590 nm), yellow (590 - 565 nm), green (565 - 490 nm), blue (490 - 450 nm), indigo (450 - 430 nm), and violet (420 - 380 nm) and can be be remembered with the mnemonic, roy - g - biv, constructed from the first letter of each color. it is worth noting that the infrared and ultraviolet named regions take their names in part from being immediately adjacent to the long (red) and short (violet) wavelength ends of the visible region, respectively. question 5.1.3 use figure 5.1.2 and the accompanying text to complete the following statements. remember, from left to right in figure 5.1.2, the wavelength scale decreases and the infrequency scale increases. a. light with a wavelength of 8.73×10⁻¹³ m is in the gamma ray region of the em spectrum b. light with a frequency of 5.23×10¹⁷ hz is in the x - ray region of the em spectrum c. light with a wavelength of 583 nm would have a yellow color

Explanation:

Step1: Analyze wavelength for part a

Given $\lambda = 8.73\times10^{-13}\ m$. Since gamma - rays have wavelengths shorter than $10^{-12}\ m$, this light is in the gamma - ray region.

Step2: Analyze frequency for part b

Use the formula $c=\lambda f$ ($c = 3\times10^{8}\ m/s$), so $\lambda=\frac{c}{f}=\frac{3\times10^{8}}{5.23\times10^{17}}=\frac{3}{5.23}\times10^{-9}\ m\approx0.574\times10^{-9}\ m = 0.574\ nm$. X - rays have wavelengths in the range of about $0.01 - 10\ nm$, so it is in the x - ray region.

Step3: Analyze wavelength for part c

Given $\lambda = 583\ nm$. Since yellow light has a wavelength range of $590 - 565\ nm$, light with a wavelength of $583\ nm$ is yellow.

Answer:

a. gamma ray
b. x - ray
c. yellow