Question

1.8 cm Question 14 5 pts A convex spherical mirror with a radius of curvature of 100 cm creates un upright image 32 cm from the mirror. Where is the bject located? 19.5 cm from the mirror 24.2 cm from the mirror 61.4 cm from the mirror 88.9 cm from the mirror 47.1 cm from the mirror 5 pts Question 15 thin A thin layer of magnesium fluoride (n - 1.38) is applied to the outer surface of a glass (n - 1.52) camera ud from a direction that is nearly perpendicular to the lens

Answer 1

Answer : ◉ 88.9 cm from the mirror.

Solution :

Here we have : A Convex spherical mirror.

Radius of curvature : R = 100 cm

Thus, Focal length of the mirror will be : f = R/2 = 50 cm

Image distance : d_i = 32 cm

.

According to the mirror formula :

$\frac{1}{d_o}+\frac{1}{d_i}=\frac{1}{f}$

Therefore,

$\frac{1}{d_o}=\frac{1}{f}-\frac{1}{d_i}=\frac{d_i-f}{d_i\ f}$

Thus,

$d_o=\frac{d_i\ f}{d_i- f}=\frac{(32\ cm)(50\ cm)}{(32\ cm)-(50\ cm)}=-88.89\ cm$

Here, Negative sign suggests that the object will be in front of the mirror and the image will be behind the mirror.

Therefore, The object will be located at 88.9 cm in front of the mirror.