Question

An image of an object is seen ar 8cm from the convex mirror if focal length of convex mirror is 16cm then find the position of the object

Answer 1

Given :

In convex mirror,

Image distance : 8 cm

Focal length : 16 cm

To find :

The position of the object.

Solution :

using mirror formula that is,

» A formula which gives the relationship between image distance, object distance and focal length of a sperical mirror is known as the mirror formula .i.e.,

$\boxed{\bf \dfrac{1}{v} + \dfrac{1}{u} = \dfrac{1}{f}}$

where,

• v denotes Image distance
• u denotes object distance
• f denotes focal length

By substituting all the given values in the formula,

$\dashrightarrow\sf \dfrac{1}{v} + \dfrac{1}{u} = \dfrac{1}{f}$

$\dashrightarrow\sf \dfrac{1}{8} + \dfrac{1}{u} = \dfrac{1}{16}$

$\dashrightarrow\sf \dfrac{1}{u} = \dfrac{1}{16} - \dfrac{1}{8}$

$\dashrightarrow\sf \dfrac{1}{u} = \dfrac{1 - 2}{16}$

$\dashrightarrow\sf \dfrac{1}{u} = \dfrac{ - 1}{16}$

$\dashrightarrow\sf u = - 16 \: cm$

Thus, the position of the object is 16 cm.

Answer 2

Bonjour ⚘⚘

Answer:

• 16 cm

Explanation:

Given: In convex mirror, Image distance is 8 cm and Focal length is 16 cm

Using mirror formula,

1/v + 1/u = 1/f

where,

• v : Image distance
• u : object distance
• f : focal length

>> 1/v + 1/u = 1/f

>> 1/8 + 1/u = 1/16

>> 1/u = 1/16 - 1/8

>> 1/u = (1-2/6)

>> 1/u = -1/16

>> u = -16cm

position of the object is 16cm.