Question

find the nature and focal length of a spherical mirror forming an image at a distance of 10 cm from the pole of an object kept at a distance of 30cm
(explain step by step )​

Answer 1

We know, convex mirror always forms the virtual, upright and diminished.Also, Object distance in the convex mirror is always negative where as Image distance and focal length are positive.

Now, Applying the Mirror's Formula,

f1 =v1 +u1

= 51 =v1 +1

=51 =10v(10−v)

10v=50−5v

15v=50

v=310

Answer 2

FINAL ANSWER:-

$f=-17.14cm\\image\:formed\:is\:enlarged\:and \:REAL\:and\:INVERTED$

also it's concave mirror

GIVEN:-

• spherical mirror forming an image at a distance of 10 cm from the pole of an object

• object kept at a distance of 30cm

TO FIND:-

the nature and focal length of a spherical mirror

FORMULAS USED:-

$\frac{1}{f} =\frac{1}{v}+ \frac{1}{u}$

$m=\frac{-v}{u}$

SOLUTION:-

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.