Question

1. A pinhole camera is made in a 16 x 16 x 40 cm shoebox, with an aperture made in the 16 cm x 16 cm side. What is the closest you could stand to completely capture the image of your 1.83 m tall physics instructor? 2. A hallway is 6 m long with 3 m high ceilings. There is a very large mirror on the ceiling. What angle should you shine a laser beam from the floor of one end of the hallway to have it bounce off the mirror on the ceiling and reach the midpoint on the wall on the other end? (Hint: this problem involves geometry and algebra.)

Answer 1

0 ho= = 1.83m he image - 16 cm =0.16m и = 2 = 9 u=X 40m =O4m 40 object we bave , magnification m 'm'given by me = ă ho Vyho 2 u hi naanache 1.983 = 0.4 x 1.83 0.16 u 4.58 m he should stansel The closest distanse is 4.58 m CS Scanned with CamScanner

2 B ㅈ BD--1.5m BE = 3m 3m А E 6 m Ine bave to find angle angle o 0: From A ABE, tano AE BE AE BE x tom o. Froms 4 BDC , tamo DC-EF DC BD EF BD tom o 話 = BEF BO * tom o But = AE+EF. => BE tano + BD tam o = 6 CS Scanned with CamScanner

3 tam o t 1-5 tam o=6. 6. 4.5x tomo tom o = 6 4.5 o tant Catering 6 4.5 = 53.13° Cans) CS Scanned with CamScanner