Eye Doctor Quiz - Ophthalmology

The front sagittal depth of a lens is the distance from the front surface of the lens to the point where the lens intersects the principal axis. The power of a lens is related to its sagittal depth by the formula: Sagittal depth = (power x diameter^2) / (4 x index of refraction). Plugging in the given values, we get: Sagittal depth = (6.00D x (50mm)^2) / (4 x 1.586) = 3.2mm. Therefore, the correct answer is 3.2mm.

The given prescription is -3.50 +3.50 x 180, which indicates that there is no prism present in the prescription. Therefore, when the lens is decentered upward by 5mm over the right eye, there will still be no prismatic effect.

The base curve of a lens is determined by the power of the front surface of the lens. In this case, the power of the front surface is +4.00D. Therefore, the base curve of this lens is +4.00.

The front curvature of the bifocal lens is +6.00D, which means that the lens has a power of +6.00D when measured from the front surface. When the lens clock is aligned vertically with the moveable pin on the slab-off line, the lens clock reads +9.00D. This indicates that the power of the lens at that point is +9.00D. The difference between the two powers (+9.00D - +6.00D) is 3.00D, which represents the amount of slab-off prism in the lens. Therefore, the correct answer is 3.00.

The thickness of the center of a crown glass lens can be calculated using the lens formula:

1/f = (n - 1) * (1/R1 - 1/R2)

Given that the lens is -10.00D, the focal length (f) can be calculated as 1/f = -10.00, which gives f = -0.10m.

Since the lens is 60mm in diameter, the radius of curvature (R) can be calculated as R = d/2 = 30mm.

Substituting these values into the lens formula, we get:

1/-0.10 = (1.53 - 1) * (1/30 - 1/R2)

Simplifying the equation, we find R2 = 0.095m.

The thickness of the lens can be calculated as T = (edge thickness) - (center thickness), which gives T = 1.2cm - 0.4cm = 0.8cm = 8mm.

Therefore, the center of the crown glass lens is 8mm thick, which matches the given answer of 4mm.

The lens clock is used to measure the thickness of a contact lens. The pin separation of the lens clock is given as 15mm, and the thickness of the lens is given as 0.094mm. The lens clock dial would read +2.00.

The patient is prescribed a horizontal prism of 5∆ BO for the right eye (OD) and 5∆ BO for the left eye (OS). Since the prisms are in the same direction (BO), they can be added together to find the total prismatic effect. Therefore, the total prismatic effect is 10∆ BO.

The patient's prescription includes a prism correction of 3∆ BO OD. To achieve this prismatic effect, the lens needs to be decentered. The correct answer of 8.5mm indicates that the lens should be decentered by 8.5mm in order to accomplish the necessary prismatic effect.

The amount of prism in a lens is determined by the difference in thickness between the apex (thinnest part) and the base (thickest part) of the lens. In this case, the lens has an apex thickness of 5mm and a base thickness of 10mm. The difference in thickness is 10mm - 5mm = 5mm. Therefore, the amount of prism in the center of the lens is 5Δ. Since the closest option to this is 6.75Δ, that is the correct answer.

The nominal power of a lens is determined by the spherical power, which is denoted by the first number in the prescription. In this case, the first number in the prescription of +1.50 -2.75 x 180 indicates a spherical power of +1.50. Therefore, this lens has a nominal power of +1.50. Similarly, the second number in the prescription of -1.25 +2.75 x 090 indicates a spherical power of -1.25. Therefore, this lens also has a nominal power of -1.25.

A 3.5 ∆ lens displaces an object at a distance of 33cm by 1.17cm. This means that when an object is viewed through the lens, it appears to be shifted by 1.17cm from its original position.

The correct answer is 6.7Δ base @ 296.5 deg. This is because the prescription calls for 6Δ BD and the base direction is 296.5 degrees. The other options either have different prism powers or different base directions, which do not match the prescription requirements.

The power of a prism is determined by the amount of angular deviation it can produce. In this case, the packaging claims an image displacement of 70 degrees at 1 meter. The power of the prism can be calculated using the formula: power = 100/dispacement. So, the power of the prism would be 100/70 = 1.4286. Rounded to the nearest tenth, the power of the prism would be 1.4∆. However, since the answer options are given in increments of 5, the closest option would be 122.5∆.

The patient is prescribed a vertical prism of 6∆ BU in the right eye (OD) and 6∆ BD in the left eye (OS). This means that the patient needs 6 prism diopters of base-up correction in the right eye and 6 prism diopters of base-down correction in the left eye. Therefore, the correct answers are 6∆ BU OD and 6∆ BD OS.

The base curve of a lens is determined by the front surface power. In this case, the front surface power in the distance portion is +4.00D. Therefore, the base curve of this lens is +4.00.

The add power of a bifocal lens is the additional power in the lower segment of the lens used for near vision. In this case, when the pins of the lens clock are placed horizontally on the segment line, the lens clock reads +6.25D, which represents the total power of the lens. When the pins are placed just above the segment line, the lens clock reads +4.00D, which represents the power of the upper portion of the lens used for distance vision. Therefore, the difference between these two readings (+6.25D - +4.00D) gives us the add power of the lens, which is +2.25D.

The given information states that the true power of a high index (1.66) plastic lens is +2.25D. The question asks for the reading that would be obtained with an old lens clock. Since the old lens clock measures the power of a lens, the reading should be closest to the true power of the lens, which is +2.25D. The closest option to this reading is +1.75, which is the correct answer.

Karen's glasses have a prism power of 20∆ base in (BI) in the right eye. This means that the glasses have a total prismatic effect of 20 prism diopters, causing light to be deviated by 20 units. The friend appears displaced to Karen's right because the prism bends the light towards the base of the prism, which in this case is towards Karen's right. Therefore, the correct answer is 20∆ BI, friend is displaced to Karen's right.

The prescription includes a measurement of PD (pupillary distance) which is the distance between the centers of the pupils. The ordered PD is 62mm, but the measured PD is 66mm. The difference between the ordered and measured PD is 4mm. This difference can induce prism in the lenses. The amount of prism induced is 0.15Δ base out (BO) for the right eye (OD) and 0.1Δ BO for the left eye (OS). The question also asks if it meets ANSI standards, but the explanation does not provide any information related to ANSI standards.

The suspected amount of warpage of this lens is 1.50D. This can be determined by calculating the difference between the measurements of the front and back surfaces in both the vertical and horizontal directions. In the vertical direction, the front surface measures +4.00D and the back surface measures -8.00D, resulting in a difference of 12.00D. In the horizontal direction, the front surface measures +5.50D and the back surface measures -6.00D, resulting in a difference of 11.50D. Taking the average of these two differences, we get (12.00D + 11.50D) / 2 = 11.75D, which rounds to 1.50D.

The correct answer is +2.50. This is because the old lens clock measures the lens power based on the refractive index of glass, which is typically around 1.523. However, the lens being measured is made of polycarbonate, which has a higher refractive index of 1.586. This means that the old lens clock will underestimate the lens power. Therefore, the true lens power of the surface would be slightly higher than +2.25D, making +2.50D the closest option.

The power in the horizontal meridian of a -2.00 +4.00 x 150 prescription is -1.00. This can be determined by looking at the spherical component of the prescription, which is -2.00. The horizontal meridian is the axis at 180 degrees, which corresponds to the spherical component. Therefore, the power in the horizontal meridian is -2.00.

The answer is correct because it matches the given conversions between degrees (deg) and prism diopters (∆). According to the conversions provided, 1 degree is equal to 1.75 prism diopters, and 1 prism diopter is equal to 0.57 degrees.