Question

The focal length of a converging lens is 20cm. 2cm.height object is 60cm from the lens.where will the image be formed and what kind of image is it? And also find the height of the image

Answer 1

Answer:

Given:

Object Distance (u) = - 60cm

Focal Length (f₁) = 20cm

To find: Image Distance (v)

From the Lens formula,

1/f = 1/v - 1/u

We get, v = f x u/ f + u

= v = 20 x (-60)/ 20 - 60

= 20 x 60/40 = 30cm

⇒ Image Distance = 30cm

∴ The image is formed in between F₁ and 2F₁.

  Nature of the Image is (a) Real (b) Dimenished (c) Inverted

(ii) Given:

Height of the Object () = 2cm

To find: Height of the Image ()

We know that,

=  =  ⇒  = 30/-60 = 1/-2 ⇒  ⇒  = -1cm

∴ Height of the Image is 1cm, which is below the principal axis.

⇒ For more Clarification, you can observe the figure in the Attachment.