An object is located 30.0 cm from a concave mirror. The focal length is 15.0 c,. What is the image distance?

A. 30.0 cm

B. -10 cm

C. 10.0 cm

D. -30.0 cm

Respuesta :

Answer:

30.0 cm

Explanation:

We can use the mirror equation:

[tex]\frac{1}{f}=\frac{1}{p}+\frac{1}{q}[/tex]

where

f = +15.0 cm is the focal length of the mirror

p = 30.0 cm is the distance of the object from the mirror

q is the distance of the image from the mirror

Solving the equation for q, we find

[tex]\frac{1}{q}=\frac{1}{f}-\frac{1}{p}=\frac{1}{15.0 cm}-\frac{1}{30.0 cm}=\frac{1}{30.0 cm}\\q = 30.0 cm[/tex]

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