Question

The focal length of converging mirror is 4cm if object of height 2 CM is placed 6cm away from mirror then find the image distance ,nature, and size of image

Answer 1

f= -4 cm
ho = 2 cm
u = -6 cm
use
1/f =1/v + 1/u
1/-4 = 1/v + 1/-6
1/ -4 + 1/6 = 1/v
-12 = v
image dis. = -12 cm
nature is real and inverted
m=ho/hi = -v/u
-2 = 2/hi
hi= -1

Answer 2

Image distance (v) = 12cm

Nature of image= Real and inverted

Size of image = 4cm (-4 cm in Cartesian sign convention)

Detailed explanation in the attachment