Question

# The focal lengths of the converging and diverging lenses are +15 and -20 cm, respectively. The...

The focal lengths of the converging and diverging lenses are +15 and -20 cm, respectively. The distance between them is 50 cm and the object is placed 10 cm to the left of the converging lens. Determine the location of the final image with respect to the diverging lens. Is this image real or virtual? Find the total magnification; is the image inverse or upright?

#### Homework Answers

Answer #1

Here ,

focal length of converging lens , f1 = 15 cm

focal length of diverging lens , f2 = -20 cm

for the first lens ,

object distance , do = 10 cm

Using lens formula

1/f1 = 1/di1 + do

1/15 = 1/di1 + 1/10

solving for di1

di1 = -30 cm

Now , for the second lens ,

object distance , do= 30 + 50

do = 80 cm

using lens formula

1/-20 = 1/di + 1/80

di = -16 cm

the image is located at 16 cm left of the diverging lens

---------------------

the image is virtual

---------------------

total magnification = (30/15) * (16/80)

total magnification = 0.4

the total magnification is 0.4

the image is upright

Know the answer?
Your Answer:

#### Post as a guest

Your Name:

What's your source?

#### Earn Coins

Coins can be redeemed for fabulous gifts.

##### Not the answer you're looking for?
Ask your own homework help question
ADVERTISEMENT
##### Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

ADVERTISEMENT
##### Active Questions
• Solve y'' + 2y' + 4y = 1 subject to y(0) = y'(0) = 0 (differential...
asked 28 minutes ago
• A school psychologist wants to know if a popular new hypnosis technique impacts depression. The psychologist...
asked 37 minutes ago
• Two identical sedimentation tanks are to be designed for an activated sludge plant with a flow...
asked 40 minutes ago
• Hello, could you provide an original example of a security flaw or vulnerability related to strings....
asked 1 hour ago
• Let f(x)=5−log(x+1), g(x)=x2−2x−4 and k(x)=5/(x−4). (a) Find (fog)(x)(fog)(x) and its domain using the interval notation. (b)...
asked 1 hour ago
• List the main load transfer mechanisms in pile foundation and comment about the optimal spacing of...
asked 1 hour ago
• An athlete swings a 6.50-kg ball horizontally on the end of a rope. The ball moves...
asked 1 hour ago
• 1. Observation research must be systematic, not casual or haphazard, in its design. True or False...
asked 1 hour ago
• "Thinking as skill". Dr. Edward de Bono gave Lateral Thinking its name and developed techniques for...
asked 2 hours ago
• Part 1 a) Earned Value Management (EVM) is a project management technique for measuring project performance...
asked 2 hours ago
• 11.3.2 Levi-Strauss Co manufactures clothing. The quality control department measures weekly values of different suppliers for...
asked 2 hours ago
• A new thermostat has been engineered for the frozen food cases in large supermarkets. Both the...
asked 2 hours ago