`"(i) Object is placed at infinity"`
Image: real (at F), inverted, very small in size. `(- m < < 1)`
`"(ii) Object is placed in between" `oo` "and" 2F`
Image: real `(F- 2F),` inverted, small in size (diminished). `(- m < 1)`
`"(iii) Object is placed at"` `2F`
Image: real (at `2F`), inverted, equal (of same size). `(m =- 1)`
`"(iv) Object is placed in between"` `2F` "and" `F`
Image: real `(2F- oo )`, inverted, enlarged. `(- m > 1)`
`"(v) Object is placed at"` `F`
Image: real (at `oo`), inverted, enlarged.` (- m > > 1)`
`"(vi) Object is placed in between"` `F` and `O`
Image: virtual (in front of lens), erected, enlarged. `(m > 1)`
• Where f is the average value of focal length for all the colors. `mu` is the refractive index of the material of the lens with respect to air.
• `R_1` and `R_2` are the radii of curvature of the curved surfaces respectively.
• `R_1` is positive and `R_2` is negative for convex lens.
• `R_1` is negative and `R_2` positive for concave lens.
`text(Lateral Magnification Formula for Lens)`
The lateral or transverse magnification is defined as the ratio of the height of the image and the height of the object. It is represented by m.
`m = (h_i)/(h_0) = v/u`
where `h_i =` height of image,
`h_0 =` height of the object,
`v =` distance of image from the lens, and
`u =` distance of the object from the lens
While using this formula put the correct signs of variables according to the sign conventions.
`"(i) Object is placed at infinity"`
Image: real (at F), inverted, very small in size. `(- m < < 1)`
`"(ii) Object is placed in between" `oo` "and" 2F`
Image: real `(F- 2F),` inverted, small in size (diminished). `(- m < 1)`
`"(iii) Object is placed at"` `2F`
Image: real (at `2F`), inverted, equal (of same size). `(m =- 1)`
`"(iv) Object is placed in between"` `2F` "and" `F`
Image: real `(2F- oo )`, inverted, enlarged. `(- m > 1)`
`"(v) Object is placed at"` `F`
Image: real (at `oo`), inverted, enlarged.` (- m > > 1)`
`"(vi) Object is placed in between"` `F` and `O`
Image: virtual (in front of lens), erected, enlarged. `(m > 1)`
• Where f is the average value of focal length for all the colors. `mu` is the refractive index of the material of the lens with respect to air.
• `R_1` and `R_2` are the radii of curvature of the curved surfaces respectively.
• `R_1` is positive and `R_2` is negative for convex lens.
• `R_1` is negative and `R_2` positive for concave lens.
`text(Lateral Magnification Formula for Lens)`
The lateral or transverse magnification is defined as the ratio of the height of the image and the height of the object. It is represented by m.
`m = (h_i)/(h_0) = v/u`
where `h_i =` height of image,
`h_0 =` height of the object,
`v =` distance of image from the lens, and
`u =` distance of the object from the lens
While using this formula put the correct signs of variables according to the sign conventions.