A “potpourri” of mindbenders!

        These are various brainbenders that I happened to have crossed while reading. They consist of a panopli of questions from physics to mathematics, from simple to complex and from solved to “still being researched”. Some of the sources are from Mathematics Problem Books, others from the “Mad About Physics” series while the sources of the remaining are still a mystery!

       I will add new puzzles and the previous answers in due time. Again, some of the questions have yet to be answered fully(we’ve got a bunch of crazy looking mathematicians and physicists still scratching the heads over them!). So, the answer may not always be so clear. Take your time and enjoy the ride into the unknown world that surrounds you.

1.      Okay, for starters, I’ll just ask you a simple question-one that most are well-acquainted with. If you take one pound of feathers and one pound of iron(or gold or anything metallic), which one weighs the most? (They weigh the same is, of course, not acceptable!) [reference: Mad about Physics-the classical edition]

2.     Now, for a bit of math.To number the pages of a bulky volume, the printer used 1890 digits. What’s the number of pages in the book?(simple algebra does the job!)[reference:The Stanford Mathematicians Problem Book]

3.     This one requires a bit more abstract thinking. The Green-Eyed dragons. So, you happen to visit a remote desert island inhabited by one hundred very friendly dragons(they won’t eat you),all of whom have green eyes. They haven’t seen a human for centuries and are very excited about your visit. The courteous D.s show you around and even talk to you about stuffs(Let’s say they can talk).

     Everything’s fine till now until you find something very strange. If a dragon finds out that he/she has green eyes, then at precisely midnight on the day of this discovery, he/she turns into a parrot after abandoning all powers. But, the dragons never talk to each other about eye color and there are no mirror on the island. So, everything’s been just fine.

     As you prepare to leave, all dragons come to see you off and you thank them for being so kind. You then tell them something they all already know(since they can all see the eyes of other dragons). You tell them that atleast one of them has green eyes(you really shouldn’t have done that). Then you leave, not thinking about the consequences. Assuming that the dragons are infallibly logical, what happens? And, if something does happen, what is this new information that you gave the dragons?[reference:Harvard Physics]

4.     How about a physics classic? This one is known the Newton’s Cradle(the toy in the picture). So, this is a popular toy consisting of five steel balls of the same size and mass, hanging side by side in contact in a row on bifilar support. Pull one back at one end and release it, one ball moves off the other end,…If two are pulled back at the same end and dropped together, two move out together at the other end. Pull back three, release together, and three move out at the other end. Pull back four and…Five and…How do they do that?! The balls can count, right? How do they know?[reference:Mad about physics]

——————————————//——————————————–

               “I was like a boy playing on the sea-shore, and diverting myself now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me.” Sir Issac Newton