JEE Main 2022 · 27 Jun · Shift 1 · Chemistry Q82

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ChemistryInteger+4 / -1Question 82 of 90

If the uncertainty in velocity and position of a minute particle in space are, $2.4\times10^{-26}$ (m s $^{-1}$ ) and $10^{-7}$ (m) respectively. The mass of the particle in g is ______. (Nearest integer)

(Given : $h=6.626\times10^{-34}$ Js)

Your answer

Answer and worked solution

Official answer: 22

Uncertainty principle. $m=\dfrac h{4\pi\,\Delta x\,\Delta v}=\dfrac{6.626\times10^{-34}}{4\pi\times10^{-7}\times2.4\times10^{-26}}\approx0.022$ kg $=22$ g.

Answer: 22

Topics:de Broglie and Heisenberg

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JEE Main 2022 · 27 Jun · Shift 1, Chemistry question 82