Clomo4star said:I was practicing homework and I came across these two derived equations from 1/f=1/d0+1/di
2nd one di=d0(f)/d0-f
The lens formula (1/f = 1/u + 1/v) is used to calculate the image distance (v) when an object is placed in front of a lens. The mirror formula (1/f = 1/u + 1/v) is used to calculate the image distance (v) when an object is placed in front of a mirror. The main difference is that the lens formula applies to lenses, while the mirror formula applies to mirrors.
To determine which formula to use, you first need to identify whether the object is placed in front of a lens or a mirror. If it is a lens, you would use the lens formula. If it is a mirror, you would use the mirror formula. Additionally, you would also need to know the focal length (f) of the lens or mirror in order to plug it into the formula.
Yes, both formulas can be used for any type of lens or mirror, as long as the object is placed in front of the lens or mirror. However, for complex or compound lenses or mirrors, the formulas may need to be modified to take into account the different focal lengths of each individual component.
Yes, there are a few other factors that may affect which formula to use. These include the position of the object (whether it is placed on the principal axis or not), the distance of the object from the lens or mirror (u), and the type of image being formed (real or virtual).
Yes, there are a few ways to verify the accuracy of the calculated image distance. One way is to compare it to the actual image distance measured using a ruler or measuring tape. Another way is to use the magnification formula (M = -v/u) to calculate the magnification of the image and compare it to the actual magnification observed. If the calculated image distance and magnification match the actual values, then the calculated image distance is likely accurate.