1.85 m tall person stands 8.50 m in front of a large, concave spherical mirror having a radius of curvature of 4.00 m. Determine the mirror's focal length, image distance, and magnification.

Respuesta :

The mirror's magnification is -0.307, which indicates that the image is inverted, and its focal length is 2.0 m. The picture's separation from the mirror is 2.61 m.

Mirror radius: R = 4.0 meter's

Mirror's focal length is equal to

focal length = R/2,

focal length = 4.0/2 m, and f = 2.0 m.

The man is 1.85 meter's tall.

Do = 8.5 meter's separates the subject from the mirror.

The distance between the picture and the mirror is di

1/di = 1/2.0-1/8.51

di = 1/0.382

di = 2.61m.

The picture is produced on the same side of the mirror as the item because the image distance is positive, hence the image will be accurate.

The magnification is negative thus the picture created is inverted.

magnification = -di/do = - 2.61/8.5 = -0.307.

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