We can use the mirror formula to find the focal length of the convex mirror. The mirror formula is given by:
1/f = 1/v - 1/u,
where f is the focal length, v is the image distance, and u is the object distance.
In this case, the object is located 2m in front of the convex mirror, so u = -2m (negative because the object is in front of the mirror). The image height (h') is 1/16 times the object height (h), so h'/h = 1/16.
We can use the magnification formula, h'/h = v/u, to find the image distance:
1/16 = v/-2.
Simplifying, we find:
v = -2/16 = -1/8.
Now, substituting the values into the mirror formula, we have:
1/f = (1/-1/8) - (1/-2).
Simplifying, we find:
1/f = -8 + 4 = -4.
Taking the reciprocal, we find the focal length of the convex mirror:
f = -1/4 = -0.25m.
Therefore, the focal length of the convex mirror is -0.25m.
An objects distance is 2m Infront of the convex mirror and the image height is 1/16 times the object height. What is the focal length of the mirror?
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1 answer