Please help me!!
A mirror of focal length 26.6 cm creates an image with magnification −0.350. What is the image distance?
if know what the answer is... can you explain it to me. thnxs!!!
You haven't mentioned whether it is a concave or convex mirror. So I am taking cases.
Using the mirror equation,
where:
- object distance
- image distance
- focal length of the mirror
(NOTE: The equation is formulated defining the pole as origin and the quantities denote the x-coordinates)
CASE I(For concave mirror):
We have,
= - 26.6 cm (Considering focus towards left of pole as it is a concave mirror)
So using mirror equation,
--------- ■
We know that,
Magnification = =
(The equation is formulated taking proper signs)
Thus,
-------- ●
Using the above relation in ■,
(rejected as image cannot be formed at the pole)
or
Using ●,
Thus, the image is formed at a distance of towards the left of the concave mirror. (The negative sign implies negative x-axis which is towards the left of the origin i.e the pole)
Similarly,
CASE II(For Convex mirror):
We have,
= + 26.6 cm [Considering focus to the right of the pole]
Repeating the rest of the process,
Thus, the image is formed at a distance of towards the right of the convex mirror.
(The positive sign implies positive x-axis which is towards the right of the origin i.e. the pole)