Final answer:
Alice observes Bob's clock ticking slower and meter stick shorter, and Bob observes the same for Alice due to the relativity of simultaneity and special relativity effects of time dilation and length contraction at high velocities.
Step-by-step explanation:
Alice and Bob are moving with respect to each other. According to the principles of special relativity, if Alice observes Bob's clock and meter stick, she would find that Bob's clock ticks slower than her own and his meter stick is shorter than her own. Conversely, from Bob's perspective, Alice's clock would also tick slower than his own and her meter stick would be shorter than his own. This happens because in the reference frame of each observer, the other's moving clock appears to experience time dilation, and the meter stick seems to undergo length contraction, both effects due to their relative motion at a significant fraction of the speed of light.
This phenomenon is symmetric due to the principles stated by the theory of relativity, which posit that all non-accelerating frames of reference should observe the same physical laws. Therefore, neither Alice nor Bob would observe changes within their own frame of reference; Alice's and Bob's respective clocks and meter sticks would seem normal to themselves, but contracted and ticking slower, respectively, from the other's viewpoint. The concept of proper length also enters here, indicating that the length of an object is greatest to an observer moving with the object.
The Question is incomplete. The complete question is
Alice and Bob are moving with respect to each other. Each has a clock that is ticking and a meter-stick oriented parallel to their motion.
According to Alice, Bob's clock will tick ____ her own and his meter-stick will be ____ her own.
Meanwhile, according to Bob, Alice's clock will tick _____ his own and her meter- stick will be _____ his own.
a) Longer than
b) Slower than
c) faster than
d) shorter than
e) at the same rate as
f) same length as