Question

Find the position ,nature and size of the image formedby convex lens of focal length 12cm ofan object 5cm high placed at a distance 20cm from it.

Answer 1

The solution is in pic

Answer 2

Answer:

The height of the image is 7.5 cm.

Explanation:

To find:

the position, nature, and size of the image formed by a convex lens.

Height of Object h = 5 cm

Focal length f = 12 cm

Object distance u = -20 cm

Lens formula

A lens formula may be described as the formula which gives the relationship between the distance of the image (v), the distance of the object (u), and the focal length (f) of the lens.

1/ f = 1/ v + 1/ u.

$\frac{1}{\mathrm{f}} = \frac{1}{\mathrm{v}}-\frac{1}{\mathrm{u}}$

$\frac{1}{\mathrm{v}}+\frac{1}{20}=\frac{1}{12}$

v = 30cm

Height of image = ${h^\prime}$

$\frac{h^{\prime}}{h}=\frac{v^{\prime}}{u}$

${h^\prime}$ = 30/ -20

${h^\prime}$ = 7.5 cm

The height of image = 7.5 cm.

Therefore, the image is real and inverted.

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