Answer:
Image distance of the bug is - 0.4 m
Magnification is 5 times
Image is real and inverted
Solution:
As per the question:
The focal length of the lens, f = 0.1 m
Distance of the bud from the lens, v = 0.08 m
Now,
Using the lens maker formula:
[tex]\frac{1}{f} = \frac{1}{v} + \frac{1}{v'}[/tex]
where
v' = distance of the bug's image from the lens
Now,
[tex]\frac{1}{v'} = \frac{1}{f} - \frac{1}{v}[/tex]
[tex]\frac{1}{v'} = \frac{1}{0.1} - \frac{1}{0.08}[/tex]
[tex]\frac{1}{v'} = - \frac{1}{2.5}[/tex]
v' = - 0.4 m
Now,
Magnification of the bug's image is given by:
m = [tex]\frac{-v'}{v}[/tex]
m = [tex]\frac{-(- 0.4)}{0.08} = 5[/tex]
Since, negative sign shows that inverted image is formed and positive value of magnification shows that real image is formed.
