Time with a Cesium Clock:
The NIST (National
Institute of Standards & Technology) F-1 Cesium
fountain clock built in 1999 is accurate to
$5.0 \times 10^{-8}$ second/year. Accuracy of this level is
important for many scientific processes such as global
positioning systems on airplanes and the design of
microelectronic devices.
How many seconds does the clock vary from the actual
time in
a. A century
b. 10,000 years
c. 20,000,000 years
Note: Do not use decimal arithmetic. Your calculations must be in scientific notation.