A particle travels from the Earth\'s upper atmosphere to the surface. From the p

Question

A particle travels from the Earth's upper atmosphere to the surface. From the particle's point of view, the trip lasts for a time of 4.0 mu s. According to scientists on Earth the particle travels at 0.75c. How much time did the particle's trip take according to scientists on Earth? 8.0 mu s 2.6 mu s 5.3 mu s 7.1 mu s 4.0 mu s 6.0 mu s You have a speed of 0.5c as measured by Felix who is at rest with respect to the ground. If you are holding a meter stick in the same direction you move, how long does Felix perceive your meter stick to be? 0.53 m 0.71 m 1.15 m 0.87 m 1.00 m 1.41 m

Explanation / Answer

here,

time taken , t = 4 us

the speed particle , v = 0.75 c

the time taken by particle according to scientist on earth , t' = t /sqrt(1- (v/c)^2)

t' = 4 us /sqrt( 1 - (0.75 c/c)^2)

t' = 6 us

the time taken by particle according to scientist on earth is F) 6 us

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