Question

please solve this problem with explanation ​

Answer 1

Answer :-

3.3 cm and Real and inverted.

Option → C

Given :-

u = -25 cm

f = 10 cm

$h_o = 5 cm$

To find :-

The size and the nature of the image formed.

Solution:-

• By using lens formula,

$\huge \boxed{\dfrac{1}{f }=\dfrac{1}{v}- \dfrac{1}{u}}$

→$\dfrac{1}{10}= \dfrac{1}{v}- \dfrac{1}{(-25)}$

→$\dfrac{1}{10}= \dfrac{1}{v}-\dfrac{-1}{25}$

→$\dfrac{1}{10}= \dfrac{1}{v}+\dfrac{1}{25}$

→$\dfrac{1}{v}= \dfrac{1}{10}-\dfrac{1}{25}$

→$\dfrac{1}{v}= \dfrac{5 -2}{50}$

→$\dfrac{1}{v}= \dfrac{3}{50}$

→$v = \dfrac{50}{3}cm$

Now,

• By using magnification formula.

$\huge \boxed{\dfrac{h_i}{h_o}= \dfrac{-v}{-u}}$

→$\dfrac{h_i}{5}= \dfrac{-\dfrac{50}{3}}{-25}$

→$\dfrac{h_i}{5}=\dfrac{-50}{-75}$

→$\dfrac{h_i}{5}= \dfrac{2}{3}$

→$h_i = \dfrac{10}{3}$

→$h_i = 3.3 cm$

hence,

The height of the image will be 3.3 cm.

Nature → Convex lens always formed real and inverted image.