Answer:
Time required for 1.5 rev for an observer on earth = 7.24 s
Given:
velocity of probe, v = 0.51 c
[tex]t_{1}[/tex] = 3.9 s
Solution:
Using Einstein's theory of relativity for time dilation:
[tex]t = \frac{t_{1}}{\sqrt{1 - \frac{v^{2}}{c^{2}}}}[/tex]
where
t = observed time on earth
Now,
[tex]t = \frac{3.9}{\sqrt{1 - \frac{(0.59c)^{2}}{c^{2}}}} = 4.83 s[/tex]
Now, time required for 1.5 rev:
t = [tex]1.5\times 4.83[/tex] = 7.24 s
