The uncertainty in the position of a moving bullet of mass 10 gm … - Vidyadip

MCQ

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

✓
$5.2 \times {10^{ - 28}}\,m/sec$
B
$3.0 \times {10^{ - 28}}\,m/sec$
C
$5.2 \times {10^{ - 22}}\,m/sec$
D
$3 \times {10^{ - 22}}\,m/sec$

✓

Answer

Correct option: A.

$5.2 \times {10^{ - 28}}\,m/sec$

a
(a) Uncertainty of moving bullet velocity

$\Delta v = \frac{h}{{4\pi \times m \times \Delta v}} = \frac{{6.625 \times {{10}^{ - 34}}}}{{4 \times 3.14 \times .01 \times {{10}^{ - 5}}}}$

$ = 5.2 \times {10^{ - 28}}\,m/sec$.

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