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 () and magnification () for each lens will be, respectively

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
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 [2025]

1 $4 p$ and $m^{4}$

2 $p^{4}$ and $m^{4}$

3 $4 p$ and $4 m$

4 $p^{4}$ and $4 m$

Ans.
(1)

For thin lenses in contact, then the powers of each lens add up.

$P_{t} = P_{1} + P_{2} + P_{3} + P_{4} = 4 P$

Given linear magnification of each lens $m$ is

The overall magnification of the combined lens system is

$M = m \times m \times m \times m = m^{4} (dimensionless).$

Hence the combination has power 4P and magnification $m^{4}$ .

4P and $m^{4}$ -- follows from the additive power law for co-axial lenses and the multiplicative rule for successive magnifications.

Want Us to Email you About Special Offers & Updates?