HomeworkLib
Question

A converging lens (f = 26.1 cm) is used to project an image of an object...

A converging lens (f = 26.1 cm) is used to project an image of an object onto a screen. The object and the screen are 114 cm apart, and between them the lens can be placed at either of two locations. Find the two object distances. (Enter your answers from smallest to largest.) cm cm

science   physics   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

We know that,

1/f = 1/O +1/i

or f = Oi/O+i = 26.1 = Oi/114

Oi = 26.1*114 =2975.4

O+i = 114

Then,

(O+i)2 = O2 +i2 +2(Oi) =O2 +i2 +2(2975.4 ) =12996

So,O2 +i2 = 7045.2

Now , (O-i)2 = O2 +i2 -2(Oi) = 7045.2 - 2(2975.4 ) = 1094.4

O-i = 33.08 cm and O+i = 114

so, i= 40.46 cm and O= 73.54 cm

0 0
Add a comment
Know the answer?
Add Answer to:
A converging lens (f = 26.1 cm) is used to project an image of an object...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • A converging lens (f = 26.1 cm) is used to project an image of an object...

    A converging lens (f = 26.1 cm) is used to project an image of an object onto a screen. The object and the screen are 129 cm apart, and between them the lens can be placed at either of two locations. Find the two object distances. (Enter your answers from smallest to largest.)

  • A converging lens with a focal length of 40 cm is used to form an image...

    A converging lens with a focal length of 40 cm is used to form an image on a screen that is 2.8 m behind the lens. At what distance in front of the lens must the object be placed?

  • Converging- coovex F) Group B 1. An object is placed in front of a converging lens...

    Converging- coovex F) Group B 1. An object is placed in front of a converging lens with a focal length of magnitude 10.0 cm such that the image is four times the size of the object. (a) At what distances must the object be placed from the lens such that this would occur? (b) For each object distance determined in part (a), what is the image distance? (c) Specify whether the image is upright or inverted and real or virtual...

  • An object is placed 14.2 cm from a first converging lens of focal length 10.5 cm....

    An object is placed 14.2 cm from a first converging lens of focal length 10.5 cm. A second converging lens with focal length 5.00 cm is placed 10.0 cm to the right of the first converging lens. (a) Find the position q1 of the image formed by the first converging lens. (Enter your answer to at least two decimal places.) cm (b) How far from the second lens is the image of the first lens? (Enter your answer to at...

  • an object is placed 20 cm from a converging lens. An image 3x the size of...

    an object is placed 20 cm from a converging lens. An image 3x the size of the object is formed on the screen. What is the focal length of the lens? a) -15 cm b) -30 cm c) +30 cm d) +15 cm

  • A converging lens (f = 20 cm) and a diverging lens (f = 30 cm) are...

    A converging lens (f = 20 cm) and a diverging lens (f = 30 cm) are placed 90 cm apart, and an object is placed 30 cm in front of the converging lens. Object's height is 2 cm. Find the location of the final image. Left Right Object 30 cm 90 cm fy=20 cm fz=30 cm O at infinity. O 60 cm away from lens 2 and on the right side of lens 2. 20 cm away from lens 2...

  • For what position of the object will a converging lens not project an image on the...

    For what position of the object will a converging lens not project an image on the screen? a) At a distance greater than twice the focal length b) Between the focus and the lens c) At a distance equal to twice the focal length d) Between the focus and a distance of twice the focal length.

  • An object is placed 22.0 cm from a screen. 1)At what two points between object and...

    An object is placed 22.0 cm from a screen. 1)At what two points between object and screen may a converging lens with a 3.40 cm focal length be placed to obtain an image on the screen? Express your answers in centimeters separated by a comma. Count the distances from the object. 2)What is the magnification of the image for each position of the lens? Express your answer as two numbers, separated by a comma.

  • An object is placed 20.5 cm from a screen. Part A At what two points between...

    An object is placed 20.5 cm from a screen. Part A At what two points between object and screen may a converging lens with a 2.40 cm focal length be placed to obtain an image on the screen? Enter your answer as two numbers, separated with a comma. Count the distances from the object. Part B What is the magnification of the image for each position of the lens? Enter your answer as two numbers, separated with a comma.

  • A transparent photographic slide is placed in front of a converging lens with a focal length of 2.23 cm. An image of the slide is formed 12.8 cm from the slide. (a) How far is the lens from the slide...

    A transparent photographic slide is placed in front of a converging lens with a focal length of 2.23 cm. An image of the slide is formed 12.8 cm from the slide. (a) How far is the lens from the slide if the image is real? (Enter your answers from smallest to largest starting with the first answer blank. Enter NONE in any remaining answer blanks.) (b) How far is the lens from the slide if the image is virtual? (Enter...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT