Question
Asked Dec 25, 2019
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A converging lens has a focal length of 10.0 cm. Locate the
images for object distances of (a) 20.0 cm, (b) 10.0 cm, and
(c) 5.00 cm, if they exist. For each case, state whether the
image is real or virtual, upright or inverted, and find the
magnification.

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Expert Answer

Step 1

Given:

Focal length of the converging lens = 10 cm

Step 2

(a) Calculating the image distance, image type and magnification for object distance 20 cm:

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Image Transcriptionclose

1 1 1 Using lens formula, Where 'u' is the object distance, 'v' is the image distance and 'f is the focal length. Taking right hand side to be positive and left-hand side to be negative. Focal length of the converging lens would be positive. Substitute f= 10 cm, u = - 20 cm, (-20cm) (10cm) (20cm) v = 20cm +20cm Magnification for a lens, M =- =-1 -20cm hị =-1(As Calculate dabove) Also, magnification, M =- h. Hence, height of the image would be negative or below the principal axis. Magnification is -1, means the image would be of the same size as the object is, and negative sign shows that the image would be inverted. And image formed would be real.

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Step 3

(b) Calculating the image distance, image type an...

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Image Transcriptionclose

1 1 1 Using lens formula, Where 'u' is the object distance, 'v' is the image distance and 'f is the focal length. Taking right hand side to be positive and left-hand side to be negative. Focal length of the converging lens would be positive. Substitute f= 10 cm, u = - 10 cm, %3D (-10cm) (10cm) As the rays become parallel after refraction through the lens, hence they never meet with each other. So, we can say no image is formed.

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