Question

An object of length 17 m is placed at a distance of 14 m the image is formed 14 m away from the mirror.
Find the focal length of the mirror, and magnificant of the image. Say wheather it is real or virtual image.

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Answer 1

$\huge\it{Answer:}$

$\text{the lenght of object (o) => 17 m.}$

$\text{the distance of object (u) => 14 m}$

$\text{the distance formed by image (v) => (14+14)m => 28 m}$

$\text{let the magnitude of image be m.}$

$\text{the focal lenght be => f}$

we know

$\text{magnificant of image => v/u}$

=> -28/14=> -2

so the image is real.

we know

1/f=> (1/distance of image)+1/distance of formed image)

=> 1/f = (1/14)+(1/28)

=>1/f =(1+1)28 [ because the lcm of 14 and 28]

=> 1/f = 2/28

=> f= 14 m

$\huge\it\red{ray\;of\;image\;is\;=>\;14\;m}$