Home Physics Ray Optics Mix A line object 5 mm long is located 50 cm in …
Physics Ray Optics Mix MCQ (Single Correct)

A line object 5 mm long is located 50 cm in front of a camera lens. The image is focused on the film plate and is 1 mm long. If the film plate is moved back 1 cm the width of the image blurs to 1 mm wide. What is the F-number of the lens?

A
7.33
B
8.33
C
10
D
12

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Text Solution

Verified by Experts
The correct answer is:
B

Substituting u = 50 cm and = in the Gaussian lens formula

+ =

Fig.

Gives f = 8.33 cm, v = 10 cm. From the similar triangles in Fig. we have

= ,

or D = 0.1 v = 1 cm. Therefore, F = f/D = 8.33.

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