Question

Draw a ray diagrams of concave mirror of focal length is equal to 10 cms and write it's nature of image and where it forms?​

Answer 1

a) Refers to the attachment for this answer.

(b)  Focal length(f) of the lens is less than the object distance(u). This means that the Object is kept behind the Focus.

 For Convex Mirror, we know that the Characteristics of the Image which is formed when the object is kept between Infinity and Focus are Virtual, Erect, and Diminished at the Point.

(c) Given conditions ⇒

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,

⇒ 

⇒  1/5 = (10 - v)/10v

⇒ 10v = 50 - 5v

⇒ 15v = 50

⇒ v = 50/15

∴ v = 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.

Hope it helps.