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 6×10−7 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. 1.054×10−301.054×10−232.786×10−238.75×10−29

Solution

## The correct option is D 8.75×10−29m = 80 g, v = 900 m/sec , Δx = 6×10−7 m, According to heisenberg's uncertainty principle, Δx.Δp≥h4π Δp≥h4π×Δx  ≥6.6×10−344×3.14×6×10−7  ≥8.75×10−29 kg m/s

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