Power of lens and mirror is considered one of the most asked concept.
16 Questions around this concept.
In a certain camera, a combination of four similar thin convex lenses is arranged axially in contact. Then the power of the combination and the total magnification in comparison to the power $(p)$ and magnification $(m)$ for each lens will be, respectively -
Power and lens and mirror-
Power of a lens is defined as the reciprocal of focal length and Power of a mirror is defined as the negative of reciprocal of focal length.
So,
$$
P_{\text {Lens }}=\frac{1}{f} \quad \text { and } \quad P_{\text {Mirror }}=\frac{-1}{f}
$$
Where, $f=$ focal length
The unit of power is Diopter, $1 \mathrm{D}=\mathbf{1} \mathbf{~ m}^{-1}$
The sign of the focal length will be taken according to the sign convention which we have discussed in the previous concept.
The power of a combination of lenses in contact is the algebraic sum of the powers of individual lenses, so it can be written as -
$$
P_{\text {Total }}=P_I+P_2+P_3+\cdots+P_n
$$
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