an object 5 millimeters high is loacated 15 millimeters in front of a plane mirror. how far from the mirror is the image located?
Can someone check me on this please.
the formula is:
1/d1 = (1/f)-(1/d0)
where
d1 = image distance
f = focal length of the mirror(object height)
d0 = object distance from the mirror
giving you:
1/d1 = (1/15mm) - (1/5mm)
1/d1 = -0.1333333 recurring
take the inverse of this number giving:
d1(image distance) = -0.1333333^-1
d1(image distance) = -7.5mm
If it is a plane mirror the image appears to be as far behind the mirror as the object is in front.
To determine the distance of the image from the mirror, we can use the concept of virtual images formed by plane mirrors. In this case, the key principle is that the distance from the object to the mirror is equal to the distance from the image to the mirror.
Given that the object is located 15 millimeters in front of the mirror, the image will also be formed at a distance of 15 millimeters behind the mirror. This is because plane mirrors create virtual images that are the same distance behind the mirror as the object is in front of it.
Therefore, the image is located 15 millimeters from the mirror.