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Question

A green ball weighs 80 g and comes travelling towards you at 900 m/s. A photon of light emitted from green ball has a wavelength of 6×107 m. Assuming that the error in the position of ball is the same as the wavelength of its photon, calculate error in the momentum (kgm/s) of the green ball.


  1. 1.054×1030
  2. 1.054×1023
  3. 2.786×1023
  4. 8.75×1029


Solution

The correct option is D 8.75×1029

m = 80 g, v = 900 m/sec ,
Δx = 6×107 m,
According to heisenberg's uncertainty principle,
Δx.Δph4π
Δph4π×Δx
 6.6×10344×3.14×6×107
 8.75×1029 kg m/s
 


 

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