An illuminated slide is held 44cm from a screen. How far from the slide must a lens of focal length11cm be placed (between the slide and the screen) to form an image of the slide’s picture on the screen?

Short Answer

Expert verified

Distance from the slide at which the lens should be placed is 22cm.

Step by step solution

01

Listing the given quantities

Focal length,f=11cm.

Distance between slide and screen is 44cm

02

Understanding the concepts of lens equation

By using the thin lens equation, we can find the distance at which the lens should be placed.

Formula:

Thin lens equation,

1f=1p+1i

03

Calculations of the distance from the slide at which the lens should be placed

Thin lens equationis

1f=1p+1i

Since the image is formed on the screen, so the sum of the object distance and the image distance is equal to the distance between the slide and the screen.

As the distance between slide and screen is44cm, i.e.

p+i=44cmOr

i=44p

Therefore,

111=1p+144p111=(44p)+p44pp2111=4444pp2

44pp2=484

p244p+484=0

After solving the quadratic equation, we get,

p=22cm

Distance from the slide at which the lens should be placed is 22cm

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