A concave lens refracts parallel rays in such a way that they are bent away from

Question

A concave lens refracts parallel rays in such a way that they are bent away from the axis of the lens. For this reason, a concave lens is referred to as a diverging lens.

1) Consider the following diagrams, where F represents the focal point of a concave lens. In these diagrams, the image formed by the lens is obtained using the ray tracing technique. Which diagrams are accurate?(Figure 1) (Figure 2) (Figure 3) (Figure 4)

Type A if you think that only diagram A is correct, type AB if you think that only diagrams A and B are correct, and so on.

2)If the focal length of the concave lens is -7.50 cm , at what distance do from the lens should an object be placed so that its image is formed 3.70 cm from the lens?

Express your answer in centimeters.

3)What is the magnification m produced by the concave lens described in Part B?

Express your answer numerically.

4)Where should the object be moved to have a larger magnification?

The object should be moved closer to the lens. The object should be moved farther from the lens. The object should be moved to the focal point of the lens. The object should not be moved closer to the lens than the focal point. Concave lenS Object Image

Explanation / Answer

1) The most accurate option is option A.since the image has to be uproight, erect and diminished since the object is beyond the focal point and one of the rays always passes thorugh the center of the lens.

2)

let the distance be d.so,

1/u + 1/v = 1/f

or 1/u - 1/3.7 = -1/7.5

or u=7.3 cm

3)magnification = |v/u|

=|3.7/7.3|

=0.506

5)to increase the magnification, the object should be moved farther away from the lens according to the above equation.

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