Question 335: Ray Optics

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

Accepted Answer

In a camera with a series combination of four similar thin convex lenses, the effective power and total magnification of this combination can be calculated as follows:
Effective Power
: When lenses are in contact, their powers add up. Therefore, the effective power $ p_{	ext{eff}} $ of the combination is the sum of the powers of each individual lens:
$   p_{	ext{eff}} = p_1 + p_2 + p_3 + p_4 = 4p   $
Total Magnification
: The total magnification $ m_{	ext{eff}} $ is the product of the magnifications of each lens in the series:
$   m_{	ext{eff}} = m_1 	imes m_2 	imes m_3 	imes m_4 = m^4   $
Thus, for a combination of four identical lenses, the effective power is four times the power of a single lens, and the effective magnification is the fourth power of the magnification of a single lens.

Answer

$4 p$ and $m^4$

Answer

$p^4$ and $m^4$

Answer

$4 p$ and $4 m$

Answer

$p^4$ and $4 m$

Ray Optics

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

Choose the correct answer: