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A certain strain of bacteria doubles in number each 20 days. Two of these bacteria are placed on
a spaceship and sent away from the Earth for 1000 Earth-days. During this time, the speed of the
ship is 0.9950c. How many bacteria are aboard when the ship lands on the Earth​

Respuesta :

Answer:

Explanation:

We shall apply time dilution relation of relativity

t  = [tex]\frac{t_0}{\sqrt{1-\frac{v^2}{c^2} } }[/tex]

[tex]1000 = \frac{t_0}{\sqrt{1-\frac{v^2}{c^2} } }[/tex]

[tex]1000 = \frac{t_0}{\sqrt{1-\frac{0.995^2}{1} } }[/tex]

t₀ = 1000 x .09987

= 99.87  days .

doubling time  = 20 days

no of doubling time in 20 days ;    n = 99.87 / 20

n = 4.9935

n = [tex]n_0\times 2^n[/tex] ; n₀ is initial number , n is number finally .

= 2 x 2⁴°⁹⁹³⁵

= 64 approx .