(QUESTION 1) Two unrelated radioactivity problems are asked below.
Q1) Carbon decays into Nitrogen via what type of decay?
Q2) How many half-lives are required for the number of radioactive nuclei to decrease to one-thousandth of the initial number?
(QUESTION 2) On the earth, you are watching a spaceship move directly away from the earth at 0.6c relative to the earth.
Q1) While moving at 0.6c away from earth it sends a smaller ship away from the earth at 0.9c (relative to the spaceship). How fast do you (an observer on earth) measure the smaller ship to be moving?
Q2) Observers on earth measure the spaceship to be 100 m long. What is the spaceship’s proper length (that people on the spaceship measure it to be)?
a) 60 m
b) 80 m
c) 100 m
d) 125 m
e) 167 m
Q3) After a while, you (an observer on earth) notice 15 minutes have passed on the clocks of the spaceship. How much time has passes on your clocks (on earth)?
a) 9 min
b) 12 min
c) 15 min
d) 19 min
e) 25 min
(QUESTION 3) Light with wavelengths from 400 nm to 750 nm is involved in a two slit interference experiment with a slit spacing of 0.0025 mm. (1 nm = 1x10-9 m and 1 mm = 1x10-3 m)
Q1) How many total full order spectra (from 400nm to 750nm) can be seen on both sides of the central bright fringe?
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