Question

2. An object of height 10 cm is placed infront of a convex lens having focal
length 12 cm. The object is placed at a distance of 36 cm infront of the lens.
How many time image is magnified ?​

Answer 1

Explanation:

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Ray Optics and Optical Instruments

Spherical Mirrors

If an object of 10 cm heigh...

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Asked on December 26, 2019 by

Yugandhara Malathi

If an object of 10 cm height is placed at a distance of 36 cm from a concave mirror of focal length 12 cm, find the position, nature and height of image.

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ANSWER

Object distance u=−36 cm

Focal length of concave mirror f=−12 cm

Using mirror formula :

v

1

+

u

1

=

f

1

Or

v

1

+

−36

1

=

−12

1

⟹ v=−18 cm

Magnification

h

o

h

i

=

u

−v

Or

10

h

i

=

−10

−(−18)

⟹ h

i

=−18 cm

Image formed is real and inverted.

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Answer 2

h1=10cm

f=12cm

u= -36cm

Since 1/f= 1/v - 1/u

So

1/12= 1/v -(1/-36)

1/12-1/36=1/v

2/36=1/v

v=18 cm

Now

h2/h1= v/u

So h2/10=18/-36

h2= -5cm

Image is diminshed 1/2 time the object.

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