An 80-mm-focal-length lens is used to focus an image on the film ofa camera. The maximum distance allowed between the lens andthe film plane is 120mm.
ddaeeric
Answered question
2021-01-31
(a) How far ahead of the film should the lens be if the object tobe photographed is 10.0m away?
(b) 3.0m away?
(c) 1.0m away?
(d) What is the closest object this lens could photographsharply?
Answer & Explanation
saiyansruleA
Skilled2021-02-01Added 110 answers
An image on a camera's film is focused using a lens with a (F=80-mm) focal length. The lens and film plane can only be separated by a maximum of 120mm.
(a) If the subject to be photographed is 10.0 meters away, how far should the lens be from the film?
(b) 3.0m away?
(c) 1.0m away?
(d) What is the nearest item this lens can capture in sharp detail?
In first case
Object distance (u) = - 1000 cm
Image distance ( v ) = ?
Focal length ( f ) = + 8.0 cm
Since
( 1/ f ) = ( 1/ v) - ( 1/ u )
( 1/ 8.0 ) = ( 1/ v) - ( 1/ - 1000) --------(i)
v = 80.6 mm
In second case
Object distance (u) = - 300 cm
Image distance ( v ) = ?
Focal length ( f ) = + 8.0 cm
Since
( 1/ f ) = ( 1/ v) - ( 1/ u )
( 1/ 8.0 ) = ( 1/ v) - ( 1/ - 300) --------(ii)
v = 82.19 mm =82.2 mm
In third case
Object distance (u) = - 100 cm
Image distance ( v ) = ?
Focal length ( f ) = + 8.0 cm
Since
( 1/ f ) = ( 1/ v) - ( 1/ u )
( 1/ 8.0 ) = ( 1/ v) - ( 1/ - 100)--------(iii)
v = 86.9 mm = 87.0 mm
In fourth case
Object distance (u) = ?
Image distance ( v ) = 120 mm
Focal length ( f ) = + 8.0 cm
Since
( 1/ f ) = ( 1/ v) - ( 1/ u )
( 1/ 8.0 ) = ( 1/ 12.0 ) - ( 1/u) --------(iv)
u= 24.0 cm
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