Question

What is the Lorentz factor γ if 0.25v=0.25c?
a) 1.03
b) 1.33
c) 1.5
d) 2.0

Answer 1

The Lorentz factor γ can be calculated using the equation γ = 1/√(1 - v²/c²), and for the given condition, it is approximately 1.03.a) 1.03

Step-by-step explanation:

The Lorentz factor γ, also known as the relativistic factor, can be calculated using the equation γ = 1/√(1 - v²/c²), where v is the velocity of the object and c is the speed of light. In this case, v = 0.25c, so we can substitute this value into the equation:

γ = 1/√(1 - (0.25c)²/c²)

γ = 1/√(1 - 0.0625)

γ = 1/√(0.9375)

γ = 1/0.96825

γ ≈ 1.033

Therefore, the Lorentz factor γ is approximately 1.03.