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Determine the focal length of a lens in a camera if the film is 36.9 mm away from the lens and the object distance is 59.2 cm.

Answer :

The focal length of the lens is 39.3 mm. The result is obtained by using the thin lens equation.

What is the Thin Lens Equation?

The Thin Lens Equation is the equation used on a thin positive or negative lens.

[tex]\frac{1}{f} = \frac{1}{d_{1} } + \frac{1}{d_{2} }[/tex]

Where

  • f = focal length
  • d₁ = object distance
  • d₂ = image distance

We have a camera with the film 36.9 mm away from the lens and the object distance is 59.2 cm. Determine the focal length!

Let's convert the object distance's unit!

59.2 cm = 592 mm

The distance of the film from the lens is the image distance. So, the focal length is

[tex]\frac{1}{f} = \frac{1}{d_{1} } + \frac{1}{d_{2} }[/tex]

[tex]\frac{1}{f} = \frac{1}{592 } + \frac{1}{36.9 }[/tex]

[tex]\frac{1}{f} = \frac{(592-36.9)}{21844.8 }[/tex]

[tex]\frac{1}{f} = \frac{555.1}{21844.8 }[/tex]

[tex]f = \frac{21844.8}{555.1}[/tex]

f = 39.3 mm

Hence, the focal length of a lens in the camera is 39.3 mm.

Learn more about focal length here:

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