contestada

A 2.15 cm tall object is placed in 22.5 cm in front of a concave mirror. The focal
length is 29.8 cm. How far is the image from the mirror?

Respuesta :

The image is 12.8 cm far from the mirror.

Explanation:

Given:

Height of the object=2.15 cm

To Find:

Distance between the image and mirror.

Solution:

Object distance u=-22.5 cm(object is always placed to the left of the mirror and distances to the left are indicated by negative sign)

Focal length=+29.8 cm(concave mirror has a positive focal length)

The image distance can be calculated using the mirror equation.

[tex]1/f=1/v+1/u[/tex]

1/v= 1/f-1/u

[tex]=1/29.8-1/-22.5\\\\1/v=1/29.8+1/22.5\\\\v=12.82 cm[/tex]

Thus we can conclude that the image is 12.82cm far from the mirror.