Q 66

Expert-verified
Found in: Page 993

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# A 2.0-cm-tall candle flame is 2.0 m from a wall. You happen to have a lens with a focal length of 32 cm. How many places can you put the lens to form a well-focused image of the candle flame on the wall? For each location, what are the height and orientation of the image?

Lens can be put at two locations that is 160 cm and 40 cm. Their Heights will be 0.50 cm and 8.00 cm respectively.

See the step by step solution

## Step 1. Given information is :Height of the flame candle, h = 2.0 cmDistance between candle flame and the wall = 2.0 mFocal length of the lens, f = 32 cm

We need to calculate the number of places where we can put the lens to form a well-focused image of the candle flame on the wall and height & orientation of the image at each location.

## Step 2. Using thin Lens Formula.

Therefore, The lens can be put at 2 different locations that is 160 cm and 40 cm.

When s = 160 cm

s' = 200 cm - 160 cm = 40 cm

When s = 40 cm

s' = 200 cm - 40 cm = 160 cm

Therefore Magnification M when s = 160 cm can be calculated as :

Therefore,

When s = 40 cm,