To find the distance between two lines on the diffraction grating, you can use the formula:
\[ \text{Distance between lines} = \frac{1 \text{ cm}}{\text{number of lines per cm}} \]
In this case, the grating has 6,000 lines/cm. Therefore:
\[ \text{Distance between lines} = \frac{1 \text{ cm}}{6000} = \frac{1}{6000} \text{ cm} \]
Calculating this gives:
\[ \text{Distance between lines} = 0.0001667 \text{ cm} \approx 0.000167 \text{ cm} \]
In meters, this distance can also be calculated:
\[ 0.000167 \text{ cm} = 0.00000167 \text{ m} = 1.67 \times 10^{-5} \text{ m} \]
Now comparing with the answer choices you provided:
- 0.00040 cm
- 0.00050 cm
- \( 8 \times 10^{-6} \) m (which is equal to 0.000008 m or 0.0008 cm)
- 0.00020 cm
None of these match our calculated distance of approximately 0.000167 cm. Do you have the correct options or would you like to check it again?