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Question: The uncertainty in the position of a moving bullet of mass 10 *gm* is \(10^{- 5}m\). Calculate the u...

The uncertainty in the position of a moving bullet of mass 10 gm is 10−5m10^{- 5}m. Calculate the uncertainty in its velocity

A

5.2×10−28m/sec5.2 \times 10^{- 28}m/sec

B

3.0×10−28m/sec3.0 \times 10^{- 28}m/sec

C

5.2×10−22m/sec5.2 \times 10^{- 22}m/sec

D

3×10−22m/sec3 \times 10^{- 22}m/sec

Answer

5.2×10−28m/sec5.2 \times 10^{- 28}m/sec

Explanation

Solution

Uncertainty of moving bullet velocity

Δv=h4π×m×Δv=6.625×10−344×3.14×.01×10−5\Delta v = \frac{h}{4\pi \times m \times \Delta v} = \frac{6.625 \times 10^{- 34}}{4 \times 3.14 \times .01 \times 10^{- 5}}

=5.2×10−28m⥂/⥂sec⁡= 5.2 \times 10^{- 28}m ⥂ / ⥂ \sec.