Question

An object placed in front of concave mirror at 40cm its focal length is 10cm.find the image distance and characteristics of the image

Answer 1

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

An object placed in front of concave mirror at 40cm its focal length is 10cm. Find the image distance and characteristics of the image.

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

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

• Object is placed at (u) = - 40cm
• Focal lenght (f) = - 10cm

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

• Image distance (v)

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

$\implies{\sf -\dfrac{1}{10}=\dfrac{1}{v}+\left(-\dfrac{1}{40}\right) }$

$\implies{\sf -\dfrac{1}{10}=\dfrac{1}{v}-\dfrac{1}{40}}$

$\implies{\sf \dfrac{1}{v}=\dfrac{1}{10}+\dfrac{1}{40} }$

$\implies{\sf \dfrac{1}{v}=\dfrac{40+10}{10×40} }$

$\implies{\sf \dfrac{1}{v}=\dfrac{50}{400}}$

$\implies{\sf v = \dfrac{400}{50} }$

$\implies{\bf \red{ v = 8cm} }$

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

Image is at ${\bf \red{8cm}}$.