CONCAVE MIRROR 20CM
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When an object is placed 20 cm in front of a concave mirror, a real image is formed. The image is three times magnified compared to the object. The focal length of the concave mirror can be calculated using the mirror equation:

frac1f=frac1v+frac1u

where:

  • (f) is the focal length of the mirror.
  • (v) is the image distance (distance between the image and the mirror’s pole).
  • (u) is the object distance (distance between the object and the mirror’s pole).

Since the image is real and magnified, we have:

(m_{\text{linear}} = -\frac{v}{u} = 3)

Using the mirror equation, we can find the focal length:

(\frac{1}{f} = \frac{1}{v} + \frac{1}{u})

Substitute (v = 3u):

(\frac{1}{f} = \frac{1}{3u} + \frac{1}{u})

Solving for (f):

(f = \frac{u}{2})

Given that the object distance (u) is 20 cm, we find:

(f = \frac{20}{2} = 10 , \text{cm})

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