Using the formula F=1/D, what is the focal length for a 6.00D lens?

Using the formula F=1/D, what is the focal length for a 6.00D lens?

• A. 0.1666m
• B. 0.2000m
• C. 0.1500m
• D. 0.2500m

Answer: (A)

To find the focal length using the formula \( F = \frac{1}{D} \), where \( D \) is the lens power in diopters (D), you simply take the reciprocal of the power. In this case, the lens has a power of 6.00D. Calculating the focal length: \[ F = \frac{1}{6.00} \approx 0.1667 \text{ meters} \] When rounded to four decimal places, this value comes out to approximately 0.1666 meters. Therefore, the focal length of a lens with a power of 6.00D is indeed about 0.1666m. This makes the first choice correct, as it accurately reflects the calculation needed based on the formula provided. Understanding this calculation is key in optics, as the focal length determines how strongly a lens converges or diverges light rays, which is essential for various applications in optical instruments, corrective eyewear, and photography.

To find the focal length using the formula ( F = \frac{1}{D} ), where ( D ) is the lens power in diopters (D), you simply take the reciprocal of the power. In this case, the lens has a power of 6.00D.

Calculating the focal length:

[

F = \frac{1}{6.00} \approx 0.1667 \text{ meters}

]

When rounded to four decimal places, this value comes out to approximately 0.1666 meters. Therefore, the focal length of a lens with a power of 6.00D is indeed about 0.1666m. This makes the first choice correct, as it accurately reflects the calculation needed based on the formula provided.

Understanding this calculation is key in optics, as the focal length determines how strongly a lens converges or diverges light rays, which is essential for various applications in optical instruments, corrective eyewear, and photography.