A museum exhibit uses a concave mirror to project a life-size
PHYSICS · Multi-part · CBSE · Physics · Ray Optics and Optical Instruments · Ray Optics and Optical Instruments
Problem
A museum exhibit uses a concave mirror to project a life-size, inverted image of an artifact onto a vertical screen positioned 2.4m behind the artifact, as measured along the common principal axis.
The mirror is located somewhere between the artifact and the screen on that axis.
Answer the following design questions.
(a) Derive an expression for the focal length f of the mirror in terms of the fixed object–screen separation distance D when the projected image is required to be the same size as the object.
(b) Using D=2.4m, calculate the required focal length.
(c) Determine the distance from the artifact to the mirror that satisfies the design criteria.
(d) Identify one practical advantage and one practical drawback of using a concave mirror with the focal length found in part (b) for this life-size projection application.