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If the kinetic energy of an electron is given as “K” Joules with an uncertainty of 6*10^-6, then calculate the expression of (1)uncertainty in velocity and the (2)uncertainty in position.Express your answer in terms of “K” joules.

If the kinetic energy of an electron is given as “K” Joules with an uncertainty of 6*10^-6, then calculate the expression of (1)uncertainty in velocity and the (2)uncertainty in position.Express your answer in terms of “K” joules. 

Grade:11

1 Answers

Vikas TU
14149 Points
7 years ago
From uncertainity condition:
 
dp * dx > = h/4pi 
dp and dx are the uncertainities in momentum and position.
 
  1.  
    uncertainity invelocity=>
    given kinetic enrgy as: K = 1/2mv^2 = pv/2
    p = 2K/v
    put in uncertainity condition,
    we get,
    d(2K/v) * dx = h/4pi

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