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An object 5cm high is placed 60cm in front of a concave mirror whose focal length is 10cm. Where is the image located? What is the magnification and size of image? (Problem Solving / With Solution)

Sagot :

Answer:

Correct option is A)

Given,

Size of object h

o

=5cm

Size of the image h

i

=?

Focal length, f=−10cm

Object distance u=−60cm

Image distance v=?

Using mirror formula,

f

1

=

v

1

+

u

1

−10

1

=

v

1

+

−60

1

v

1

=

60

−6+1

v=−12cm

Hence, the position of the object is at 12 cm in front of the mirror.

Magnification (M)=

h

o

h

i

=

u

−v

=

−60

12

=−0.2

h

i

=−0.2×h

o

h

i

=−0.2×5=−1cm

Height of inverted image is 1cm.