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Question

Chemistry Question on Structure of atom

If the position of an electron is known to be within 10−1210^{-12} m, then uncertainty in its momentum is

A

5.27×10−23Kgms−15.27\times10^{-23} Kg m s^{-1}

B

2.130×10−23Kgms−12.130\times10^{-23} Kg m s^{-1}

C

1.69×10−24Kgms−11.69\times10^{-24} Kg m s^{-1}

D

1.69×10−23Kgms−1.1.69\times10^{-23} Kg m s^{-1}.

Answer

5.27×10−23Kgms−15.27\times10^{-23} Kg m s^{-1}

Explanation

Solution

Δp=6.626×10−344π×10−12m=5.27×10−23Kgms−1\Delta p=\frac{6.626\times10^{-34}}{4\pi\times10^{-12} m}=5.27\times10^{-23} Kg ms^{-1}