Answer :
Answer:
The magnification is 0.3
Explanation:
Given:
The focal length of the convex mirror, f = 15 cm
for convex mirror f = -f = -15 cm
The distance of object, u = 35 cm
Height of the object, h = 2 cm
Now, using the mirror formula, we have
[tex]\frac{1}{f}=\frac{1}{u}+\frac{1}{v}[/tex]
where, v is the distance of the image
on substituting the values, we get
[tex]\frac{1}{-15}=\frac{1}{35}+\frac{1}{v}[/tex]
or
[tex]-\frac{1}{v}=\frac{1}{35}-\frac{1}{-15}[/tex]
or
v = -10.5 cm
now, the magnification (m) is given as:
m = [tex]-\frac{v}{u}[/tex]
on substituting the values, we get
m = [tex]-\frac{-10.5}{35}[/tex]
or
m = 0.3
Hence, the magnification is 0.3