Consider a wave that is a superposition of two Hermite-Gaussian beams of order (1,0) and (0,1) with equal intensities. The two beams have independent and random phases so that their intensities add with no interference.

Show that the total intensity is described by a donut-shaped circularly symmetric function.

Assume that Wo 1, determine the radius of the circle of peak intensity and the radii of the two circles with 1/e2 time the peak intensity at the beam waist.

=force × distance a. work b. velocity c. pressure d. momentum

Because air contracts as it cools, the air pressure inside a freezer is typically lower than on the outside. why do ice cubes inside a freezer tend to shrink over time? a. the ice dissolves oxygen from the air, forming a denser crystalline matrix.b. the ice reacts chemically with carbon dioxide in the air, forming gaseous carbon compounds.c. the ice melts, and then the liquid freezes as ice crystals on the bottom of the freezer.d. the ice sublimes, and then the water vapor deposits as ice crystals on the sides of the freezer.

3. a lunar exploration vehicle was created by a research team. it weighs 3,000 kg on the earth. it needs an acceleration of 10 m/s2 on the moon. in order to have the same acceleration, what will be the net force acting on the vehicle on the earth?