a) Two observers observe two events from different inertial frames of
reference in uniform relative motion at a speed of 0.90c. Under what condition
would the observers observe these events to be simultaneous? Write down
all possible conditions under which the events would not be simultaneous for the
two observers.
(b) The mean lifetime of a particle is 2.5 micro second when it is produced in the top layers of the Earth’s atmosphere. If it travels at the speed of 0.9999c, what is its life time
as measured by an observer on the Earth? Calculate the distances travelled by the particle in its own frame of reference and the Earth’s frame of reference.
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