Cool Problems
Cool Problems
Here are some physics problems that I particularily enjoyed because they use some really interesting ideas.
There are three identical point light sources emitting mutually coherent light homogeneously in all directions. The figure below, also available as a GeoGebra file, shows the positions of the local light intensity maxima in the plane defined by the three light sources. These positions are not perfectly accurate because they are calculated on the assumption that the light intensity from a single source does not depend on the distance from it. Reconstruct the positions of the light sources.
The video below shows a solid cylinder falling into water in slow motion. Determine the density of the cylinder. You are allowed to take measurements from the video frames.
Image of a Circle
In the figure below, the ellipse is a real image of a circle created by an ideal thin lens. The point F is the closer-to-the-ellipse main focus of the lens. Optical axis lies in the plane of this figure. Construct geometrically the centre O of this thin lens.