Question

The graph between object distance 'u' and image distance ‘v for a lens is given. The focal length of the lens is ?
a. 5 (unit)
b. -5 (unit)
c. 0.5(unit)
d. -0.5(unit)
The graph is provided above please answer my question friends​

Answer 1

Given:

The graph between object distance 'u' and image distance ‘v for a lens is given.

To find:

Focal length of lens ?

Calculation:

Consider the point (-10,10) on the curve. This point should satisfy the Len's Formula:

$\rm \: \dfrac{1}{f} = \dfrac{1}{v} - \dfrac{1}{u}$

$\rm \implies \: \dfrac{1}{f} = \dfrac{1}{10} - \dfrac{1}{( - 10)}$

$\rm \implies \: \dfrac{1}{f} = \dfrac{1}{10} + \dfrac{1}{10}$

$\rm \implies \: \dfrac{1}{f} = \dfrac{1 + 1}{10}$

$\rm \implies \: \dfrac{1}{f} = \dfrac{2}{10}$

$\rm \implies \: \dfrac{1}{f} = \dfrac{1}{5}$

$\rm \implies \: f = 5 \: unit$

So, focal length of lens is 5 unit (convex lens).

Answer 2

$\boxed {\boxed{ { \green{ \bold{ \underline{Verified \: Answer \: }}}}}}$

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

$\bigstar{\underline{\underline{{\sf\ \red{ ANSWER:-}}}}}$

• REFER TO ATTACHMENT

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬