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an object that is 2.84 tall is located 25.2 in front of a lens. a virtual image is formed at a distance 36.6 from the lens. what is the focal length of the lens (in )?

Answer :

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 virtual image from the lens, and

u is the distance of the object from the lens.

In this case, the object is located 25.2 inches in front of the lens, so u = -25.2 inches (negative because it is in front of the lens). The virtual image is formed at a distance of 36.6 inches from the lens, so v = 36.6 inches.

Substituting these values into the lens formula, we have:

1/f = 1/36.6 - 1/(-25.2)

Simplifying this equation, we get:

1/f = (1/36.6) + (1/25.2)

To combine the fractions, we need to find a common denominator. In this case, the least common multiple of 36.6 and 25.2 is 918, so we rewrite the equation as:

1/f = (25.2 + 36.6) / (36.6 * 25.2)

1/f = 61.8 / 918

1/f ≈ 0.0673

Now, we can take the reciprocal of both sides to find f:

f ≈ 1 / 0.0673

f ≈ 14.84 inches

Therefore, the focal length of the lens is approximately 14.84 inches.

Learn more about Lens focal length :

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Rewritten by : Jeany

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