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. $\text{5.2}\times \text{1}{\text{0}}^{-\text{28}}m/sec$
• B. $\text{3.0}\times \text{1}{\text{0}}^{-\text{28}}m/sec$
• C. $\text{5.2}\times \text{1}{\text{0}}^{-\text{22}}m/sec$
• D. $3\times \text{1}{\text{0}}^{-\text{22}}m/sec$

Answer 1

Answer: (A)

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

$=\text{5.2}\times \text{1}{\text{0}}^{-\text{28}}m/sec$ .