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An object is placed at a certain distance on the principal axis of a concave mirror. The image is formed at a distance of 30cm from the mirror. Find the object distance if radius of curvature R=15cm.​

Respuesta :

Answer:

Object distance, u = -6 cm

Step-by-step explanation:

Given that,

The radius of curvature, R = 15 cm

The radius of the mirror, f = -7.5 cm

We need to find the object's distance from the mirror. The mirror's formula is used to find the object distance such that,

[tex]\dfrac{1}{f}=\dfrac{1}{u}+\dfrac{1}{v}\\\\\dfrac{1}{u}=\dfrac{1}{f}-\dfrac{1}{v}\\\\\dfrac{1}{u}=\dfrac{1}{(-7.5)}-\dfrac{1}{30}\\\\u=-6\ cm[/tex]

So, the object distance is 6 cm.

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