ASSESSMENT $10$

NAME:

$1$

$\backslash$table$[[$A$,$B$],[,]]$

$2$

a$)$

$L_A=$

$L_B=$

$\backslash$table$[[2],[$a$)],[$b$)]]$

$3$

A$.$ You are in your spaceship near Earth observing two asteroids heading directly towards you. According to you, asteroid $"-6"$ is heading toward you with a speed of $0\mathrm{.}25c.$ The other asteroid $"-2"$ is approaching from the exact opposite direction at a speed you measure to be $0\mathrm{.}5c.$ According to $-6,$ what is the speed of $-2?$

a$.$ exactly $0\mathrm{.}25$ c

b$.$ between $0\mathrm{.}25$ C and $0\mathrm{.}5$ C

c$.$ exactly $0\mathrm{.}5$ c

d$.$ between $0\mathrm{.}5$ c and $0\mathrm{.}75$ C

e$.$ exactly $0\mathrm{.}75$ c

B$.$ The probability that a particle is found in a particular location is proportional to:

a$.$

b$.$

c$.||$

d$.{}^2$

e$.hf$

Two spaceships pass each other traveling in opposite directions. A passenger in ship $A,$ which he knows to be $100$ m long, notes that ship $B$ is moving with a speed of $0\mathrm{.}920$ c relative to A and that the length of $B$ is $36\mathrm{.}0$ m $.$

What are the lengths of the spaceships as measured by a passenger in ship $B?$

Galaxy $A$ is reported to be receding from us with a speed of $0\mathrm{.}35$ c$.$ Galaxy $B,$ located in precisely the opposite direction, is also found to be receding from us at this same speed. What recessional speed would an observer on Galaxy A obtain

a$.$ for our galaxy?

b$.$ for Galaxy B $?$

A gamma ray $($a high$-$energy photon$)$ can produce an electron and a positron when it enters the electric field of a heavy nucleus. What maximum wavelength $($minimum energy$)$ gamma$-$ray is required to accomplish this task?