Question

Jason uses a lens with focal length of 14.0cm as a magnifier by holding it right up to his eye. He is observing an object that is 12.0cm from the lens.

Part A
What is the angular magnification of the lens used this way if Jason's near-point distance is 25 cm?

Answer 1

The angular magnification of the lens used as a magnifier with a focal length of 14.0cm is approximately 1.78.

Step-by-step explanation:

To find the angular magnification of a lens used as a magnifier, one can use the formula:

M = 25 cm / f

where M is the magnification, and f is the focal length of the lens in centimeters. Given the lens's focal length of 14.0 cm, we can calculate the magnification as follows:

M = 25 cm / 14.0 cm = 1.78

Therefore, the angular magnification is approximately 1.78 when using the lens as a magnifier held up to Jason's eye.

Answer 2

To calculate the angular magnification of Jason's magnifying lens with a 14.0 cm focal length used at a 12.0 cm object distance for a near-point distance of 25 cm, one would use the formula M = 1 + (D/f), resulting in an angular magnification of approximately 2.786.

Step-by-step explanation:

To determine the angular magnification of the lens when used as a magnifier, we can use the magnification equation for a simple magnifier:

M = 1 + (D/f)

where:

• M is the angular magnification,
• D is the near-point distance (which is 25 cm),
• f is the focal length of the lens (which is 14.0 cm).

By substituting the given values, we can calculate the angular magnification:

M = 1 + (25 cm / 14.0 cm)

M = 1 + 1.786

M ≈ 2.786

Therefore, the angular magnification of the lens used by Jason is approximately 2.786 times when the object is 12.0 cm from the lens and the near-point distance is 25 cm.