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An object is located 24.0 cm to the left of a diverging lens having a focal length f = -34.0 cm. (a) Determine the location of the image. distance x cm location to the left of the lens (b) Determine the magnification of the image. (c) Construct a ray diagram for this arrangement. Choose File no file selected

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Wyatt

Expert ยท 5.4k answers ยท 5k people helped

Step 1/3

(a).

The object distance is,

`u=-24cm`

Explanation:

As, in the question it is given that the object is located left side of the lens for that reason the object distance is taken as negative.

The focal length of the diverging lens is,

`f=-34.0cm`

According to the lens formula,

`1/v-1/u = 1/f`

`1/v = 1/f+1/u`

`1/v = (u+f)/(uf)`

`v = (uf)/(u+f)`

`v = (-24*-34)/(-24-34)`

`v = -14.07cm`

So, the image will be formed at a distance `14.07cm` to the left side of the lens.

Step 2/3

(b). The magnification is defined as,

`m = v/u`

`m = -14.07/-24`

`m = 0.59`

So, the magnification of the image is `m=0.59.`

Explanation:

Here, the magnification has been calculated.

Step 3/3

(c).

In the ray diagram above `O` is the position of the object and `I` is the position of the image.

Explanation:

Here, the ray diagram has been shown.

Final Answer

(a). The location of the image is `v=-14.07cm` .

(b). The magnification of the image is `m=0.59`

(c). The ray diagram has been shown in the above steps.

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