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Chapter 31: Problem 24

A lens with 50 -cm focal length produces a real image the same size as the object. How far from the lens are image and object?

Short Answer

Expert verified
The object and the image are both located 100 cm away from the lens.

Step by step solution

01

Write down the lens formula and the given values

The lens formula is 1/f = 1/u + 1/v. The given focal length (f) is 50 cm and we have been told that the object distance u equals the image distance v.
02

Substitute u = v into the lens formula

Substitute u = v into the lens formula to get 1/f = 2/v.
03

Substitute the given value of the focal length into the equation

Substitute f = 50 cm into the equation 1/f = 2/v. Solving this we get v = 100 cm.
04

Determine the object distance

As the object distance u is the same as the image distance v, we have u = 100 cm.

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Most popular questions from this chapter

A block of ice contains a hollow, air-filled space in the shape of a double- convex lens. Describe the optical behavior of this space.

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