Question

A spherical mirror produces an image of magnification -1 when an object is placed on the principal axis of the mirror at a distance of 40 cm from its pole. {a}identify the nature of the spherical mirror {b}find the distance of object and the image.

Answer 1

FINAL ANSWER:-

$a. \:\:image\:is\:real\:and\:inverted\:and\:same\:size\:of\:object$

$b.\:\:distance\:of\:image\:(v)=-40cm$

GIVEN:-

spherical mirror produces an image of magnification -1

an object is placed on the principal axis of the mirror at a distance of 40 cm

TO FIND:-

{a}identify the nature of the spherical mirror

{b}find the distance of object and the image.

THINGS TO ASSUME:-

• m=-1
• u=-40cm

SOLUTION:-

whole solution is in the pic that i have attached

⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔ ⇔

THINGS TO KNOW:-

• In a concave mirror, when the distance of the object is less than the focal length, the magnification will be greater than one. When the distance of the object is greater than the focal length, then the magnification is less than one.

• in concave mirror u and f both are always '-'ve. as they are on the left side of the mirror

• (height of object) is always '+'ve and

• if  is '-'ve means the image is formed bottom of principal axis also image will be real and inverted and if  is '+'ve it means that image is virtual and erect.