Geometrical OpticsMedium

Question

In a certain camera, a combination of four similar thin convex lenses are 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

Options

A.$4p$ and $4m$
B.$p^{4}$ and $4m$
C.$\ 4p$ and $m^{4}$
D.$\ p^{4}$ and $m^{4}$

Solution

For series combination of lens

$$\begin{matrix} & p_{eff} = p_{1} + p_{2} + p_{3} + p_{4} = 4p \\ & m_{eff} = m_{1} \times m_{2} \times m_{3} \times m_{4} = m^{4} \end{matrix}$$

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