Question

focal length of a convex mirror is 10cm.An object is kept at 20cm from the pole of mirror.find the position of image.​

Answer 1

Answer:

so object is placed at centre of curvature. IN CONVEX MIRROR,IF OBJECT IS AT CENTRE OF CURVATURE IMAGE IS FORMED Between F and P, behind mirror.

Answer 2

Solution :

$\underline{\bf{Given\::}}}$

• Focal length, (f) = 10 cm
• Distance of object from mirror, (u) = -20 cm

$\underline{\bf{To\:find\::}}}$

The distance of Image from mirror.

$\underline{\bf{Explanation\::}}}$

Using formula of the mirror :

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

$\longrightarrow\sf{\dfrac{1}{10} =\dfrac{1}{v} +\dfrac{1}{(-20)} }\\\\\\\longrightarrow\sf{\dfrac{1}{10} =\dfrac{1}{v} -\dfrac{1}{20} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{10} +\dfrac{1}{20} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{2 + 1}{20}}\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{3}{20}}\\\\\longrightarrow\sf{3v=20}\\\\\longrightarrow\sf{v=\cancel{20/3}}\\\\\longrightarrow\bf{v=6.66\:cm}$

Thus;

The distance of Image from mirror will be 6.66 cm, & Image is formed behind the mirror .