Answer:
u = 6.667 cm
Explanation:
given,
Focal length of the concave mirror, f = 20 cm
magnification factor = 1.5
we know,
[tex]M = \dfrac{-v}{u}[/tex]
v is the distance of the image
u is the distance of the object
[tex]1.5 = \dfrac{-v}{u}[/tex]
v = -1.5 u
Using mirror formula
[tex]\dfrac{1}{f}= \dfrac{1}{u} + \dfrac{1}{v}[/tex]
[tex]\dfrac{1}{f}= \dfrac{1}{u} - \dfrac{1}{1.5u}[/tex]
[tex]\dfrac{1}{20}=\dfrac{1}{3u}[/tex]
[tex]3u = 20 [/tex]
u = 6.667 cm
distance of the person from the mirror is equal to 6.667 cm.
