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A 2.0 cm-high object is placed 5.0 cm in front of a concave mirror, that has a radius of curvature of 24.8 cm. (You may use cm throughout this question.) (a) Calculate the focal length of the mirror, including the sign.

User Huan Zhang
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Final answer:

The focal length of a concave mirror with a radius of curvature of 24.8 cm is found to be -12.4 cm, indicating that the focal length for a concave mirror is negative.

Step-by-step explanation:

To calculate the focal length of a concave mirror, we can use the formula for the radius of curvature R, which is R = 2f, where f is the focal length. Given that the radius of curvature R is 24.8 cm, we can find the focal length by dividing the radius of curvature by 2.

Focal length (f) = R / 2

Therefore, the focal length is:

f = 24.8 cm / 2

f = 12.4 cm

Since it's a concave mirror, the focal length is negative, so f = -12.4 cm.

User Grapheneer
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