Question
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?
A 10^2 times as long
B 4 times as long
C 2 times as long
D 10^7 times as long
A 10^2 times as long
B 4 times as long
C 2 times as long
D 10^7 times as long
Answers
GPT-4o mini
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**.
\[
\text{Ratio} = \frac{\text{Wavelength of Red Light}}{\text{Wavelength of Violet Light}} = \frac{8 \times 10^{-7}}{4 \times 10^{-7}}
\]
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**.