Question

At what relative velocity is γ=1.50?

(a) 0.565c
(b) 0.600c
(c) 0.635c
(d) 0.670c

Answer 1

The relative velocity when γ=1.50 is approximately 0.615c.

Step-by-step explanation:

When the relativistic Lorentz factor (γ) is given as 1.50, we can find the velocity (v) by using the equation γ = 1/sqrt(1 - v^2/c^2), where c is the speed of light. Rearranging the equation, we get v = sqrt((1 - 1/γ^2) * c^2).

Plugging in γ = 1.50, we can calculate the velocity:

v = sqrt((1 - 1/1.5^2) * c^2) ≈ 0.615c

Therefore, the relative velocity is approximately 0.615c.