Question

an object is held at 30 cm in front of a convex mirror of focal length 15 cm. At what distance from the convex mirror should a plane mirror be help so that images in the two mirror coincide with each other?

Answer 1

Answer:

the answer mate

Explanation:

length 15cm ...

h=2cm

u=-30cm

f=-15cm

1/v+1/u=1/f

1/v+1/-30=1/-15

1/v=-2+1/30=-1/30

v=-30

the screen must be placed 30cm from the mirror to get the sharp image of it.

m=-v/u=h'/h

-(-30)/30=1

the image formed is real ,inverted and same size as the object

Answer 2

Answer:

1/f = 1 /v + 1 / u

1/15 = 1/v - 1 / 30

1/v = 1/15 + 1 / 30

1/v = 2 + 1 / 30

1/v = 3 / 30

1/v = 1 / 10

v = 10

30cm + 10cm = 40cm. The plane mirror needs to placed at a distance of 20cm from the object in order for the image to coincide as it will form 20 cm behind it. The total distance would thus have to be 40cm.

hope it helps

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