Question

an object is placed 10 centimetre from the convex mirror of focal length 15 centimetre find it position and nature of the image​

Answer 1

$\huge\underline{\underline{\bf \orange{Question-}}}$

An object is placed 10cm from the convex mirror of focal length 15cm find it position and nature of the image

$\huge\underline{\underline{\bf \orange{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Distance of Object (u) = -10cm
• Focal lenght (f) = +15

$\large\underline{\underline{\sf To\:Find:}}$

• Position and Nature of image.

According to Mirror's Formula

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

$\implies{\sf \dfrac{1}{15}=\dfrac{1}{v}+\left(-\dfrac{1}{10}\right)}$

$\implies{\sf \dfrac{1}{v}=\dfrac{1}{15}+\dfrac{1}{10} }$

$\implies{\sf \dfrac{1}{v}=\dfrac{10+15}{15×10}}$

$\implies{\sf \dfrac{1}{v}=\dfrac{25}{150} }$

$\implies{\sf v=\dfrac{150}{25}}$

$\implies{\bf \red{ v=6cm}}$

❍ Characteristics of Image

➝ Any position of object innan convex mirror formed always between Pole (P) and Focus (F)

➝ Small erect and virtual

See Fig.