# Ch 22-2 Quiz

## Ch 22-2 Quiz

Post help for the 22-2 quiz here

A glass lens with index of refraction 1.308 has a CONVEX surface with a radius of curvature of 14.42 cm and the other surface CONVEX too with a radius of curvature of 21.78 cm. What is the focal length in cm (see sheet 16,19) ? Indicate with a positive (negative) sign whether the lens is converging (diverging).

This is pretty easy, there is no converting and it is pretty much just plug-in.

Use the formula:

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

Where you are solving for f

n = 1.308

R1 = 14.42 cm

R2 = 21.78 cm

Answer is

Question 2: (1 point)

A glass lens with index of refraction 1.579 has a CONCAVE surface with a radius of curvature of 14.64 cm and the other surface CONVEX with a radius of curvature of 35.53 cm. What is the focal length in cm ? Indicate with a positive (negative) sign whether the lens is converging (diverging) (sheet 16,18,19).

This may appear to be the same as the first question but if you read more carefully it is concave for the first surface and convex for the second surface. Once this has be recognized, this problem is also very simple.

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

Answer is

Question 3: (1 point)

An object is placed 35.75 cm from the midplane of a converging lens with a focal length of 12.59 cm. How far (meters) is the image from the midplane of the lens (see sheet 20') ? Indicate with a positive (negative) sign whether the image is inverted and real (upright and virtual). A useful cross check is the graphical method to find the image.

Use the equation (1/i) = (1/f)-(1/o)

You are given f and o, leave in centimeters when initially applying the equation, and once you solve for i convert to meters.

Answer is

A 1.482 mm high object is placed 2.847 cm from the midplane of a converging lens with a focal length of 7.831 cm. How high is the image in mm (sheet 20',20",22) ? Indicate with a positive (negative) sign whether the image is upright and virtual (inverted and real). A useful cross check is the graphical method to find the image

I'll do this one mathematically and show the work because it may be a bit harder to follow

First, determine what i is

(1/i) = (1/f)-(1/o)

(1/i)=(1/7.831)-(1/2.847)

(1/i) = -.2235

i = -4.473 cm = -.0447 m

Next, set up a ratio

Since m = (h_i/h_o) AND m = -(i/o), you can simply do (h_i/h_o) = -(i/o), where h_i is the height of the image and h_o is the height of the object

For this part I converted everything into meters

(h_i/.001482) = - (-.0447/.02847)

h_i/.001482 = 1.47

h_i = .002326 m = 2.23 mm

Answer is

Enjoy your weekend guys =]

**Question 1:**A glass lens with index of refraction 1.308 has a CONVEX surface with a radius of curvature of 14.42 cm and the other surface CONVEX too with a radius of curvature of 21.78 cm. What is the focal length in cm (see sheet 16,19) ? Indicate with a positive (negative) sign whether the lens is converging (diverging).

This is pretty easy, there is no converting and it is pretty much just plug-in.

Use the formula:

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

Where you are solving for f

n = 1.308

R1 = 14.42 cm

R2 = 21.78 cm

Answer is

**positive****Question 2:**Question 2: (1 point)

A glass lens with index of refraction 1.579 has a CONCAVE surface with a radius of curvature of 14.64 cm and the other surface CONVEX with a radius of curvature of 35.53 cm. What is the focal length in cm ? Indicate with a positive (negative) sign whether the lens is converging (diverging) (sheet 16,18,19).

This may appear to be the same as the first question but if you read more carefully it is concave for the first surface and convex for the second surface. Once this has be recognized, this problem is also very simple.

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

**-**1/R2) -> notice the only difference is that the fractions of the radii are being subtracted instead of added. Just plug in everything like before and you will get your answer. Once again, there is no converting or anythingAnswer is

**negative****Question 3:**- another easy question. You guys probably dont even need help with this its so simple and all plug in but whateverQuestion 3: (1 point)

An object is placed 35.75 cm from the midplane of a converging lens with a focal length of 12.59 cm. How far (meters) is the image from the midplane of the lens (see sheet 20') ? Indicate with a positive (negative) sign whether the image is inverted and real (upright and virtual). A useful cross check is the graphical method to find the image.

Use the equation (1/i) = (1/f)-(1/o)

You are given f and o, leave in centimeters when initially applying the equation, and once you solve for i convert to meters.

Answer is

**positive****Question 4**A 1.482 mm high object is placed 2.847 cm from the midplane of a converging lens with a focal length of 7.831 cm. How high is the image in mm (sheet 20',20",22) ? Indicate with a positive (negative) sign whether the image is upright and virtual (inverted and real). A useful cross check is the graphical method to find the image

I'll do this one mathematically and show the work because it may be a bit harder to follow

First, determine what i is

(1/i) = (1/f)-(1/o)

(1/i)=(1/7.831)-(1/2.847)

(1/i) = -.2235

i = -4.473 cm = -.0447 m

Next, set up a ratio

Since m = (h_i/h_o) AND m = -(i/o), you can simply do (h_i/h_o) = -(i/o), where h_i is the height of the image and h_o is the height of the object

For this part I converted everything into meters

(h_i/.001482) = - (-.0447/.02847)

h_i/.001482 = 1.47

h_i = .002326 m = 2.23 mm

Answer is

**positive**Enjoy your weekend guys =]

**Kathleen**- Posts : 42

Join date : 2008-12-18

## Go Kathleen

She probably will (get into med school first). If she's taking the time to understand and work through the problems,

and you are just plugging into equations as fast as you can, she's certainly going to do better on the course exams,

MCAT's, and probably even the exams you'll face in medical school.

and you are just plugging into equations as fast as you can, she's certainly going to do better on the course exams,

MCAT's, and probably even the exams you'll face in medical school.

**Peter St**- Guest

## Re: Ch 22-2 Quiz

Sadly to say guys, I'm better with the math then I am with the actual physics. I can study for hours and I still do average/below on the midterms. Same thing happened last semester. I'm just another one of those biology kids taking this because I have to =/ .

**Kathleen**- Posts : 42

Join date : 2008-12-18

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