Question

An object is placed in front of a diverging lens with a focal length of 17.1 cm. For each object distance, find the image distance and the magnification. Describe each image.

(a) 34.2 cm

location cm magnification

(b) 17.1 cm

location cm magnification

(c) 8.55 cm

location cm magnification

Answer 1

Hi,

Hope you are doing well.

PART (a):

According to lens equation, we have,

Given that,

Focal length of the lens,

Object distance,

Image distance is given by,

We know that, Magnification of the lens is given by,

Given that,

Image distance,

Object distance,

Magnification of the lens is given by,

IMAGE DESCRIPTION:

• Image formed on the object side.
• Virtual.
• Erect.
• Smaller than the object.

PART (b):

According to lens equation, we have,

Given that,

Focal length of the lens,

Object distance,

Image distance is given by,

We know that, Magnification of the lens is given by,

Given that,

Image distance,

Object distance,

Magnification of the lens is given by,

IMAGE DESCRIPTION:

• Image formed on the object side.
• Virtual.
• Erect.
• Smaller than the object.

PART (c):

According to lens equation, we have,

Given that,

Focal length of the lens,

Object distance,

Image distance is given by,

We know that, Magnification of the lens is given by,

Given that,

Image distance,

Object distance,

Magnification of the lens is given by,

IMAGE DESCRIPTION:

• Image formed on the object side.
• Virtual.
• Erect.
• Smaller than the object.

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