A camera lens focuses light from a 12.0 m
tall building located 35.0 m away on film
50.0 mm behind the lens. How tall is the
image of the building on the film ?
1) 7.00 mm
2) 17.1 mm
3) 1.25 mm
4) 2.51 mm
Answers
Answer:
The answer is 17.1 mm whereby,
O=12cm , u=-35cm v=50 and we have to find I=
Given: A camera lens focuses light from a 12 m tall building located 35 m away film at 50mm behind the lens
To find: Length of the image of the building on the film
Explanation: Let magnification of the lens be m.
Image distance(v)= 50 mm
= 0.05 m
Object distance (u) = 35 m
The formula for magnification in lens is as follows:
m = v / u
= 0.05/35
The magnification formula relating the length of the object and image is:
m= height of image / height of object
=> 0.05/35= height of image / 12
=> height of image= 12 * 0.05 / 35
= 0.0171 m
= 17.1 mm ( 1 m= 1000 mm)
Therefore, the length of the image of the building on the film is option (b) 17.1 mm.