Question

An object is placed at a distance of 10cm in front of a convex mirror whose focal length is 5cm .Where is the image formed? Draw the ray diagram​

Answer 1

Answer:

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Answer 2

Answer:

3.3 cm

Explanation:

Object Distance(u) = 10 cm. (negative)

Focal length of the lens (f) = 5 cm.

We know, convex mirror always forms the virtual, upright and diminished. Also, Object distance in the convex mirror is always negative where as Image distance and focal length are positive.

Now, Applying the Mirror's Formula,

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

 ⇒ $\frac{1}{5}=\frac{1}{v}+\frac{1}{-10}$

⇒  $\frac{1}{5} =\frac{ (10 - v)}{10v}$

⇒ $10v = 50 - 5v$

⇒$15v = 50$

⇒ $v = \frac{50}{15}$

∴ $v =\frac{10}{3}$  

∴ Image Distance(v) = 3.33 cm.

Hence, the Image is formed on the other side of the Mirror at the distance of 3.33 cm.

For the ray diagram, Please find an attachment: