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Estimate distance of neutrino

  1. Aug 30, 2015 #1
    1. The problem statement, all variables and given/known data
    https://gm1.ggpht.com/EOgEamclEBUKwVrnxKngFGdqUbOp0GW0TtjQoScZXstPwArYvPID2fM_YB2D_XJWKH1Ci-jnUNqegAMdVPP8yCTfqzo7yoWY0GLRSpZQGnFgJEAfCSxTp7iBJSOGLU0T6ibIDUjyh8eR54LKZgQGAxuBg-gKsocOW2zow-W4wffzBfSHzfAtHEipIDJqV700k6c4OqZG7HH_d4V9sJ_ioT8ddOgdBcSqVSCG7ZYxd8drNw-ylQ-MsE75HXv5a6jpjIJTJ0VynN2M4v6YU8Y05mfNnNaOngEIXxgBue90U3E9A1ANn7ZOMVC9w_GlFMqi4jsmypzV91FOJ4ucU-N5NM8EoWifYczWvV9jC1nXJB3pMNZJ7OFA1YaZTyLlvEQ8xeVn_fptYT8_7EE720PbKMRO85Rqoz_XP-1_ZiNpotXKk5hf-cB_5flXYR4BLAM2Lcl1Sz3D9b80AgFZCtE4Oe5TSE8nLPy6mzIgN7e92uqQayUvyLMu_2H2lBu7xqL8nahwYh8q3kFy7d14iKyAYpg0KGGCOfP_i3P6FUtg70zP_xRSkRS36970vC2zvgQFhPUkLnXIuncXYjUgssSiILhwIl8Vjb-AUjPntefKrgDv3K_vdEhpeTLvi10=w1256-h483-l75-ft

    2. Relevant equations


    3. The attempt at a solution
    I calculated the volume of a cylinder's cross section and one light year: 10^-36 m^2 (9.46 x 10^15 m) = 9.46 x 10^-21 m^3 = 9.46 x 10^-15 cm^3.

    Then I calculated the number of interactions in that cylinder: 6.02 x 10^23 x 11 (9.46 x 10^-15 cm^3) = 6.626 x 10^10 interactions per light year.

    How do I calculate the light years a neutrino would have to travel?

    Could someone show me the process?

    Thanks!
     
  2. jcsd
  3. Aug 30, 2015 #2

    BvU

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    What happened to the ##10^{-12}## ?
     
  4. Aug 30, 2015 #3
    What 10^−12?
     
  5. Aug 30, 2015 #4

    BvU

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    Only one in ##10^{12}## neutrinos actually interact. this reduces the ##10^{-36}## to ##10^{-48}##.
    Fortunately there are three quarks inside every nucleon ... :smile:
     
  6. Aug 30, 2015 #5
    Thanks. I'm still not sure how to calculate the number of light years?
     
  7. Aug 30, 2015 #6

    BvU

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    You have ##N_A * 11 * 3 * 10^{-48} * 10^{6}## area in 1 cm3. I suppose you want 0.5 cm2 so you need a lot of cm. How many ? Divide one by the other and convert to light-years.

    Let me know what comes out and if that's in the right ball-park
     
    Last edited: Aug 31, 2015
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