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A 5.0 cm object is 12.0 cm from a concave mirror that has a focal length of 24.0 cm. The distance between the image and the mirror is____cm.

Respuesta :

Answer:

-24

Explanation: Just took the test

Answer:

Image distance, v = +24 cm

Explanation:

It is given that,

Height of the object, h = 5 cm

Object distance, u = -12 cm

Focal length of the concave mirror, f = -24 cm

Let v is the image distance. Using the mirror's formula of the mirror to find it as :

[tex]\dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}[/tex]

[tex]\dfrac{1}{v}=\dfrac{1}{f}-\dfrac{1}{u}[/tex]

[tex]\dfrac{1}{v}=\dfrac{1}{(-24)}-\dfrac{1}{(-12)}[/tex]

v = +24 cm

So, the distance between the image and the mirror is 24 cm. Hence, this is the required solution.