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Question

# A green ball weighs 75 g and comes travelling towards you at 400 cm/s. A photon of light emitted from green ball has a wavelength of 5×10−5 cm. Assuming that the error in the position of ball is the same as the wavelength of itself, calculate the error in the momentum of the green ball.

A
1.054×1030kg cm/s
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B
1.054×1023g cm/s
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C
2.786×1023g m/s
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D
2.786×1030g cm/s
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Solution

## The correct option is B 1.054×10−23g cm/sGiven : m=75g,v=400 cm/s,λ=Δx=5×10−5cm, According to Heisenberg's Uncertainty principle, Δx.Δp=h4πΔp=h4π×Δx=6.6×10−27g cm2/s4×3.14×5×10−5cm=1.054×10−23g cm/s

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