Answer :
Your friend can hold the magazine at a distance of approximately 29.2 cm and still read it clearly with the contact lenses.
The near point is the closest distance at which the eye can focus on an object clearly. In this case, your friend's near point is 137 cm.
The focal length of contact lenses determines how much they bend light. A shorter focal length means the lenses bend light more, which is useful for correcting nearsightedness. In this case, your friend's contact lenses have a focal length of 37.1 cm.
To determine how close your friend can hold a magazine and still read it clearly, we can use the lens formula:
1/f = 1/v - 1/u
where:
- f is the focal length of the lens
- v is the distance of the object from the lens (in this case, the distance at which your friend can hold the magazine and still read it clearly)
- u is the distance of the image formed by the lens (in this case, the near point)
Let's plug in the values:
1/37.1 = 1/v - 1/137
To solve for v, we can rearrange the equation:
1/v = 1/37.1 + 1/137
Now, let's calculate:
1/v = 0.0269 + 0.0073
1/v = 0.0342
To find v, we take the reciprocal of both sides:
v = 1/0.0342
v ≈ 29.2 cm
Therefore, your friend can hold the magazine at a distance of approximately 29.2 cm and still read it clearly with the contact lenses.
Know more about contact lenses here,
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