Question

an object is placed in front of concave mirror of focal length 50 cm and a real image is formed at 75 CM in front of the mirror how far is the object from the mirror​

Answer 1

Explanation:

Thank you see the attachment

Answer 2

Answer:

The object is placed at 150cm in front of the mirror.

Explanation:

Given in the question that,

Focal length of a concave mirror(f) = -50cm

Distance of the object from the concave mirror = -75cm

As we know that the mirror formula describes the relationship between the mirror's focal length, the distance to the object, and the distance to the image.

Mirror formula  = $\frac{1}{f} = \frac{1}{v} + \frac{1}{u}$

Where f stands for focal length, v stands for the distance of the object, and u stands for image distance.

Now, on putting the  given values f = -50cm and v = -75cm in the mirror formula we get,

⇒ $\frac{1}{f} = \frac{1}{v} + \frac{1}{u}$

⇒ $\frac{1}{-50}$ = $\frac{1}{-75}$ +$\frac{1}{u}$

⇒$\frac{1}{u} = \frac{1}{-50} +\frac{1}{75}$

⇒$\frac{1}{u}$ = $\frac{-3 + 2}{150}$ = $\frac{-1}{150}$

⇒u = -150cm

So, here we can see that distance of the object from the mirror is 150cm.

Hence, the object is placed at 150cm in front of the mirror.

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