Problem 33.5 A 105 mm -focal-length lens is used to focus an image on the sensor

Question

Problem 33.5

A 105 mm -focal-length lens is used to focus an image on the sensor of a camera. The maximum distance allowed between the lens and the sensor plane is 143 mm

Part A

How far ahead of the sensor should the lens be if the object to be photographed is 11.0 m away?

Part B

How far ahead of the sensor should the lens be if the object to be photographed is 2.9 m away?

Part C

How far ahead of the sensor should the lens be if the object to be photographed is 1.2 m away?

Part D

What is the closest object this lens could photograph sharply?

Explanation / Answer

a)

u = 11 m

f = 105 mm = 0.105 m

Using the equation.

1/u + 1/v= 1/f

So, 1/11 + 1/v = 1/0.105

So, v = 0.1060 m = 106 mm

b)

Now, u = 2.9m

So,

1/2.9 + 1/v = 1/0.105

So, v = 108.9 mm

c)

Now, u = 1.2 m

So, 1/1.2 + 1/v = 1/0.105

So, v = 115 mm

d)

Now, for this part,

v = 143 mm

So, 1/u + 1/0.143 = 1/0.105

So, u = 0.395 mm

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