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Question

Uncertainty in position of a minute particle of mass 25g in space is $$10^{-5}m$$. What is the uncertainty in its velocity $$(in\ ms^{-1})$$? $$(h=6.6 \times 10^{-34}Js$$)


A
2.1×1034
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B
0.5×1034
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C
2.1×1028
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D
0.5×1023
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Solution

The correct option is C $$2.1 \times 10^{-28}$$
$$mass=25g, \Delta x=10^{-5}m$$

$$ \Delta x.m. \Delta v=\cfrac{h}{4\pi }$$

$$\Delta v=\cfrac{h}{\Delta x.m. 4\pi }$$

$$\Delta v=2.1 \times 10^{-28}\ m/s$$
Option C is correct.

Chemistry

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