An optical system is constructed by placing three thin lenses coaxially in contact. The focal lengths of the three lenses are f , (f)/(2) , and -f , respectively. If the lateral magnifications produced by these

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Quantrex Academy · Accepted Answer

Correct answer: C. (2)/(f) and m_1 m_2 m_3

The equivalent power of a combination of thin lenses in contact is the sum of their individual powers.

P = P_1 + P_2 + P_3

P = \dfrac{1}{f_1} + \dfrac{1}{f_2} + \dfrac{1}{f_3}

Substituting the given focal lengths

f_1 = f

,

f_2 = \dfrac{f}{2}

, and

f_3 = -f

:

P = \dfrac{1}{f} + \dfrac{2}{f} - \dfrac{1}{f} = \dfrac{2}{f}

For a system of lenses in contact, the total lateral magnification is the product of the lateral magnifications produced by the individual lenses.

M = m_1 \times m_2 \times m_3 = m_1 m_2 m_3

Answer:

\dfrac{2}{f}

and

m_1 m_2 m_3

An optical system is constructed by placing three thin lenses...

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