Solutions to Real Test 3. Click here for the test questions
1.  1sin 30 = 1.45 sin Ø2  so Ø2=20.17  
Ø3   =  30 - 20.17 = 9.83
1.45 sin 9.83 = 1 sin  Ø4
Ø4 = 14.33
2.  
(a) pos  
(b) neg
(c) 1/1   + 1/q1  = 1/0.5   so  q1 =  1m
2.5  -  1 = 1.5 = p2     so that 1/1.5  + 1/q2  = -1/0.5  so  that q2 = -0.375 m
(d) inverted
(e) MTOT = (-q1/p1)(-q2/p2) = -0.25
3.
(a)  2nd = (m + 1/2)*675 nm  so d = 125 nm  if m = 0.
(b) 2nd = m*675 nm  so d = 250 nm  if m = 1.
4. 
(a) ØMIN    = (1.22*500 nm)/D    so that D = 0.061  m
(b) ØMIN    = s/x   so that x = 1.5x1016  m.....farther than a walk to the nearest 7-11  !
5.
(a)Ux ' = (0.9 - 0.7)c/{1  -  ( 0.9)(0.7)}  = 0.54c
(b) time =  300*(1 - 0.902)½/0.90c be careful....the measurement is with respect to the Earth...EVERYBODY GETS 2 POINTS MORE ON THE TEST BECAUSE OF MY INADVERTENT MISTAKE IN GRADING!!!