Geometrical OpticsHard
Question
A short linear object of length b liesalong the axis of a concave mirror of focal length f at a distance u from the pole of the mirror. The size of the image is approximately equal to
Options
A.
B.
C.
D.
Solution
From the mirror formula
[f = constant] ...... (i)
- v-2 dv - u-2du = 0
or |dv| =
|du| ...... (ii)
Here, |dv| = size of image
|du| = size of object (short) lying along the axis = b
Further, from Eq. (i) we can find
Substituting these values in Eq. (ii), we get
Size of image
∴ Correct option is (d).
[f = constant] ...... (i)- v-2 dv - u-2du = 0
or |dv| =
|du| ...... (ii)Here, |dv| = size of image
|du| = size of object (short) lying along the axis = b
Further, from Eq. (i) we can find
Substituting these values in Eq. (ii), we get
Size of image
∴ Correct option is (d).
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