Transverse Magnification

Determine the focal length of a concave mirror if: (a) with the distance between an object and its image being equal to l = 15 cm , the transverse magnification beta =02.0 , (b) in a certain position of the object the transverse magnification is beta_(1) =-0.50 and in another position displaced with respect to the former by a distance l = 5.0 cm the transverse magnification beta_(2) = - 0.25 .

When an small object is placed at a distance x_(1) and x_(2) from a lens on its principal axis, then real image and a virtual image are formed respectively having same magnitude of transverse magnification. Then the focal length of the lens is :

When an small object is placed at a distance x_(1) and x_(2) from a lens on its principal axis, then real image and a virtual image are formed respectively having same magnitude of transverse magnification. Then the focal length of the lens is :

An object is placed in front of convex surface of a glass plano-convex lens of thickness d = 9.0 cm . The image of that object is formed on the plane surface of the lens serving as a screen. Find: (a) the transverse magnification if the curvature radius of the lens's convex surface is R = 2.5 cm , (b) the image illuminance if the luminance of the object i s L = 7700 cd//m^(2) and the entrance apertune diameter of the lens is D = 5.0 mm , losses of light are negligible.

An aligned optical system consists of two thin lenses with focal lengths f_(1) and f_(2) , the distance between the lenses being equal to d . The given system has to be replaced by one thin lens which, at any position of an object, would provide the same transverse magnification as the system. what must the focal length of this lens be equal to and in what position must it be placed with respect to the two-lens system?

Magnification m =

What is total magnification of three lenses of magnification 2, 3, 4 in contact ?