CBSE Class 10 Answered
Please describe in detail the derivation of the mirror formula
Asked by rishabh jain | 12 Nov, 2010, 12:00: AM
Expert Answer
Mirror formula is the relationship between object distance (u), image distance (v) and focal length.
Derivation
The figure shows an object AB at a distance u from the pole of a concave mirror. The image A1B1 is formed at a distance v from the mirror. The position of the image is obtained by drawing a ray diagram.Consider the D A1CB1 and D ACB
[when two angles of D A1CB1 and D ACB are equal then the third angle
But ED = AB From equations (1) and (2) If D is very close to P then EF = PF But PC = R, PB = u, PB1 = v, PF = fBy sign convention
PC = -R, PB = -u, PF = -f and PB1 = -vEquation (3) can be written as
Dividing equation (4) throughout by uvf we get
Equation (5) gives the mirror formula
Answered by | 12 Nov, 2010, 08:58: PM
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