Two lasers, one red (with wavelength 633.0 nm) and the other green (with wavelength 532.0 nm), are mounted behind a 0.150-mm slit. on the other side of the slit is a white screen. when the red laser is turned on, it creates a diffraction pattern on the screen. part athe distance y3,red from the center of the pattern to the location of the third diffraction minimum of the red laser is 4.05 cm. how far l is the screen from the slit? express this distance l in meters to three significant figures.

Aparticle of mass m is placed in a one-dimensional box of length l. the box is so small that the particle’s motion is relativistic, so that e p2/2m is not valid. (a) derive an expression for the energy levels of the particle using the relativistic energy–momentum relation and the quantization of momentum that derives from connement. (b) if the particle is an electron in a box of length l 1.00 1012 m, nd its lowest possible kinetic energy. by what percent is the nonrelativistic formula for the energy in error?