Answer:
t' = 458.26 μs
Explanation:
given,
distance traveled by the cosmic ray = 60 Km
time = 500 μs
time taken for the journey according to cosmic ray = ?
now,
[tex]v =\dfrac{distance}{time}[/tex]
[tex]v =\dfrac{60\times 10^3}{500\times 10^{-6}}[/tex]
v = 1.2 x 10⁸ m/s
according to time dilation formula
[tex]t' = t\sqrt{1-\dfrac{v^2}{c^2}}[/tex]
[tex]t' = 500\sqrt{1-\dfrac{(1.2\times 10^8)^2}{(3\times 10^8)^2}}[/tex]
t' = 500 x 0.9165
t' = 458.26 μs
