Measured in meters, the wavelength of red lights is about 8 x 10^-7, and the wavelength of violet light is 4 x 10^-7. The wavelength of red light is how many times longer than the wavelength of violet light?

Question

A 10^2 times as long
B 4 times as long
C 2 times as long
D 10^7 times as long

Answer 1

To find out how many times longer the wavelength of red light is compared to the wavelength of violet light, we can set up the following ratio:

\[ \text{Ratio} = \frac{\text{Wavelength of Red Light}}{\text{Wavelength of Violet Light}} = \frac{8 \times 10^{-7}}{4 \times 10^{-7}} \]

Next, we can simplify this ratio:

\[ \text{Ratio} = \frac{8}{4} \cdot \frac{10^{-7}}{10^{-7}} = 2 \cdot 1 = 2 \]

Thus, the wavelength of red light is \( 2 \) times longer than the wavelength of violet light.

The answer is:

C 2 times as long.