An Unstable Particle Is Moving at a Speed of 1 $10 ^ { 8 }$

question 111

Short Answer

An unstable particle is moving at a speed of 1.6 × $10 ^ { 8 }$ m/s relative to a laboratory.Its lifetime is measured by a stationary observer in the laboratory to be 6.8 × $10 ^{- 6}$ s.What is the lifetime of the particle as measured in the rest frame of the particle? (c = 3.0 × 10⁸ m/s)

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Definitions:

Difference Threshold

The smallest detectable difference between two stimuli that a person can perceive.

Absolute Threshold

The minimum intensity of a stimulus that one can perceive, signifying the point at which a stimulus becomes noticeable to our senses.

Signal Detection

A technique or process used to identify the presence or absence of a stimulus under conditions of uncertainty.

Difference Threshold

The minimum difference in stimulation that a person can detect 50% of the time, also known as the just noticeable difference (JND).