Lorentz Transformations and Relativity Quiz

What do the Lorentz transformations relate?

• The coordinates of an event in one inertial frame to those in another moving at a constant velocity.

• The speed of light to the speed of sound.

• The mass of an object to its energy.

• The time in one frame to the distance in another.

What is ensured by the Lorentz transformations in all inertial frames?

• The speed of light remains constant.

• The speed of sound remains constant.

• The mass of objects remains constant.

• The gravitational force remains constant.

In Galilean relativity, how is time described?

• Absolute (t' = t).

• Relative (t' ≠ t).

• Variable (t' = vt).

• Constant (t' = 0).

What is the Lorentz factor represented by?

• γ = 1/√(1−v²/c²)

• γ = 1/√(1+v²/c²)

• γ = 1/√(1−v²/c)

• γ = 1/√(1+v²/c)

How does the Lorentz transformation modify the position transformation in Galilean relativity?

• x' = γ(x−vt)

• x' = x+vt

• x' = x−vt

• x' = γ(x+vt)

What does the Lorentz factor ensure about the speed of light?

• It varies in all inertial frames.

• It is constant in all inertial frames.

• It is constant only in non-inertial frames.

• It varies only in non-inertial frames.

How does the Lorentz factor behave at low speeds?

• It approaches infinity.

• It approaches zero.

• It approaches 1.

• It becomes negative.

What phenomenon describes time passing more slowly for an observer in motion relative to a stationary observer?

• Length contraction

• Time dilation

• Mass increase

• Energy conservation

What is the time interval measured by the observer in frame S?

• Δt

• Δt0

• γΔt0

• t'

According to the Lorentz transformation for time, what is the expression for t'?

• t' = γ(t−vxc2)

• t' = Δt/γ

• t' = γΔt0

• t' = Δx'/v