The distance between a concave mirror and an object placed in front of it is 1.0m. If the raduis of curvature of the mirror is 4.0m, the image formed will be
A
2.00m behind the mirror
B
2.00m in front of the mirror
C
1.25m in front of the mirror
D
1.25m behind the mirror
Verified Correct Answer: B.
Physical Principles & Numerical Solution
The focal length of a concave mirror is negative
f = -2m
\(\frac{1}{f} = \frac{1}{v} + \frac{1}{u}\)
\(\frac{1}{-2} = \frac{1}{v} - \frac{1}{1}\)
\(\frac{1}{v} = \frac{1}{-2} + \frac{1}{1}\)
\(\frac{1}{v} = \frac{1}{2}\)
v = 2m
The image distance is 2.0 m in front of the mirror
Source: Myschool Past Questions Archive (Record #35060)