6. (i) The lifetime of a particle in its own frame of reference is 25.0 ns. (This is its proper lifetime). • If the particle moves with speed 0.95c with respect to the Earth, what is its lifetime as measured by an observer at rest on Earth?. • What is the average distance it travels before decaying as measured by an observer at rest on Earth in cm? (ii) Let a rod of length Lo makes an angle 0, relative to the é -axis and let it moves with speed v = 0.8c along the horizontal direction. • Find the length of the rod as measured by a stationary observer for 0o = 30 and 60 • Find the angle 0 the rod makes with the x -axis in terms of 0g.

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Chapter1: Units, Trigonometry. And Vectors
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6. (i) The lifetime of a particle in its own frame of reference is 25.0 ns. (This is its proper
lifetime).
• If the particle moves with speed 0.95c with respect to the Earth, what is its lifetime as
measured by an observer at rest on Earth?.
• What is the average distance it travels before decaying as measured by an observer at rest
on Earth in cm?
(ii) Let a rod of length Lo makes an angle 0 relative to the í -axis and let it moves with
speed v = 0.8c along the horizontal direction.
• Find the length of the rod as measured by a stationary observer for 0, = 30 and 60
• Find the angle 0 the rod makes with the x -axis in terms of 0o.
Transcribed Image Text:6. (i) The lifetime of a particle in its own frame of reference is 25.0 ns. (This is its proper lifetime). • If the particle moves with speed 0.95c with respect to the Earth, what is its lifetime as measured by an observer at rest on Earth?. • What is the average distance it travels before decaying as measured by an observer at rest on Earth in cm? (ii) Let a rod of length Lo makes an angle 0 relative to the í -axis and let it moves with speed v = 0.8c along the horizontal direction. • Find the length of the rod as measured by a stationary observer for 0, = 30 and 60 • Find the angle 0 the rod makes with the x -axis in terms of 0o.
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