When an object is placed 10 cm in front of a certain mirror, a virtual image is formed 20 cm from the mirror What is the focal length of the mirror? -20 cm 0 +6.7 cm O +20 cm 0 -67 cm

Respuesta :

Answer:

[tex]\huge\boxed{\sf f \approx 6.7 \ cm}[/tex]

Explanation:

Given data:

Object distance = p = 10 cm

Image distance = q = 20 cm

Required:

Focal length = f = ?

Formula:

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

Solution:

Put the given data in the above formula.

[tex]\displaystyle \frac{1}{f} = \frac{1}{10} + \frac{1}{20} \\\\\frac{1}{f} = 0.1 + 0.05\\\\\frac{1}{f} = 0.15\\\\f = 1 / 0.15\\\\f \approx 6.7 \ cm\\\\\rule[225]{225}{2}[/tex]