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Cosmic ray muons generated at a top of the earth atmosphere decay law.

{ Given : T1/2 of muons = 1.92 μ sec , velocity v = 0.96 c }
An observer from the top of the mountain of height 2 km about mean sea level detect muons with their speed of light and count 1000 muons, the no. of muons (n) of the same speed detected by an observer at mean sea level at the same period of the time would be n, then
  • a)
    T1/2 = 6.85 μ sec
  • b)
    T1/2 = 1.944 μ sec
  • c)
    n = 495
  • d)
    n = 821
Correct answer is option 'A,C'. Can you explain this answer?
Verified Answer
Cosmic ray muons generated at a top of the earth atmosphere decay law....

Now the time taken by the rays to reach the sea level

Again we know that

No = 1000
N(t) = 1000 exp 
= 495
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Most Upvoted Answer
Cosmic ray muons generated at a top of the earth atmosphere decay law....

Now the time taken by the rays to reach the sea level

Again we know that

No = 1000
N(t) = 1000 exp 
= 495
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Cosmic ray muons generated at a top of the earth atmosphere decay law.{ Given : T1/2of muons = 1.92 μ sec , velocity v = 0.96 c }An observer from the top of the mountain of height 2 km about mean sea level detect muons with their speed of light and count 1000 muons, the no. of muons (n) of the same speed detected by an observer at mean sea level at the same period of the time would be n, thena)T1/2 = 6.85 μ secb)T1/2 = 1.944 μ secc)n = 495d)n = 821Correct answer is option 'A,C'. Can you explain this answer?
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