Question

Calculate the uncertainty in velocity if the uncertainty in the position of a moving bullet of mass 10 gm is $\text{1}\text{0}^{- 5}m$ .

• A. $\text{5.2}\times \text{1}\text{0}^{- \text{28}} \, m / s e c$
• B. $\text{3.0}\times \text{1}\text{0}^{- \text{28}} \, m / s e c$
• C. $\text{5.2}\times \text{1}\text{0}^{- \text{22}} \, m / s e c$
• D. $3\times \text{1}\text{0}^{- \text{22}} \, m / s e c$

Answer 1

Answer: (A)

Uncertainty of moving bullet velocity $\Delta \upsilon=\frac{h}{4 \pi \times m \times \Delta \upsilon}=\frac{\text{6.625} \times \text{1} \text{0}^{- \text{34}}}{4 \times \text{3.14} \times \text{.01} \times \text{1} \text{0}^{- 5}}$

$=\text{5.2}\times \text{1}\text{0}^{- \text{28}} \, m / s e c$ .