Question

The above lens has a focal length of 10 cm. The object of height 2 mm is placed at a distance of 5 cm from the pole. Find the height of the image.
A. 4 cm
B. 6.67 mm
C. 4 mm
D. 3.33 mm

Answer 1

Answer:

c) 4 mm

Explanation:

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Answer 2

The above lens has a focal length of 10 cm. The object of height 2 mm is placed at a distance of 5 cm from the pole. Find the height of the image.

Given:

• The figure is convex lens.
• In a convex lens, focal length is positive.

Explanation:

Focal length=$f=10cm$

Height of the object $=h1=2mm$

                                  $=2/10cm=0.2cm$

Object distance $=u=-5cm$

We need to find height of image (h2)

To find height, we flint find image distance v

By lens formula,

$1/f=1/v-1/u$

$1/10=1/v-(1/-5)$

$1/10=1/v+1/5$

$1/10-1/5=1/v$

$1-2/10=1/v$

$-1/10=1/y$$v=-10cm$.

Now,

Find magnification

By v&u

$m=v/u$

$m=-10/-5$

$m=2$

By h1&h2

m=height of image/height of object

$m=h2/h1$

$m=h2/0.2$

$2=h2/0.2$

$2*0.2=h2$

$0.4=h2$

$h2=0.4cm$

$h2=0.4*10$

$h2=4mm$

Answer :

• So the correct answer is c.4mm