Consider a concave mirror with a focal length
of 14.98 cm.
a) Find the image distance when the object
distance is 14.98 cm
The image is at infinity in that case.
Why is it infinity?
Because the optics rule is:
1/do + 1/di = 1/f
Since do = f, the focal length,
1/di = 0
That can only happen if the image distance di is infinity.
Consider a concave mirror with a focal length
of 14.98 cm.
a) Find the image distance when the object
distance is 14.98 cm. (Answer with −1000 if
the image does not exist.)
That's the whole question..
To find the image distance for a concave mirror, we can use the mirror formula:
1/f = 1/do + 1/di,
where f is the focal length, do is the object distance, and di is the image distance.
In this case, the focal length and object distance are both 14.98 cm. Substituting these values into the formula, we have:
1/14.98 = 1/14.98 + 1/di.
Let's solve this equation to find di.
First, simplify the equation:
1/14.98 - 1/14.98 = 1/di.
0 = 1/di.
Since the reciprocal of a number is zero only if the number itself is infinite, we can conclude that the image distance di is infinite. This means that the image formed by the concave mirror is a virtual image located at infinity.