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A lens is positioned 57.8 cm from an object and forms an image 38.5 cm from the lens. What is the focal length of the lens?

Answer :

The focal length of the lens is approximately 115.3 cm. The explaination is explained below.

To find the focal length of the lens, we can use the lens formula:

1/f = 1/v - 1/u

Where:

f is the focal length of the lens

v is the distance of the image from the lens

u is the distance of the object from the lens

Given:

v = 38.5 cm

u = 57.8 cm

Let's substitute these values into the formula:

1/f = 1/38.5 - 1/57.8

Now, let's calculate the right side of the equation:

1/f = (57.8 - 38.5) / (38.5 * 57.8)

= 19.3 / (2223.3)

≈ 0.008677

Now, we can find the focal length (f) by taking the reciprocal of both sides:

f = 1 / (0.008677)

≈ 115.3 cm

Therefore, the focal length of the lens is approximately 115.3 cm.

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Rewritten by : Barada

Answer:

23.11

Explanation:

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