Mahira has a lightbulb that she would like to image on a whiteboard, using a convex lens with focal length 30.0 cm. She has already mounted the bulb (with a filament 5.0 cm in height) at a distance of 2.0 m from the whiteboard. Where should she position the lens, to form a focused image of the lightbulb filament on the board? TT Screen/ (Picture is not drawn to scale!) Image Complete solutions must show your work and include all of the following: Statement/labelling of all distances. Numerical answer giving the distances from the lens to the lightbulb and lens to the screen. A supporting ray diagram, using this location of the lens and the object and image locations. The ray diagram should clearly show the paths followed by all three "standard" rays.- A comparison between the results of your numerical calculations and your ray,r diagram: o Is the image upright or inverted? o Is the image real or virtual? o What is the magnication of the image with respect to the lament? If there are multiple locations at which Mahira can position the lens and form an image of the lament on the board; provide these answers for each possible location of the lens