Uncertainty Principle

The position of both, an electron and a helium atom is known within $1.0 \mathrm{nm}$. Further, the momentum of the electron is known with in $5.0\times {10}^{-26}\mathrm{kg}{\mathrm{ms}}^{-1}$.The minimum uncertainty in the measurement of the momentum of the helium atom is

The exact path of electron in any orbital camot be determined. The above statement is based on $\underline{ }$

Calculate the mass of an elementary particle, which is accelerated to twice the velocity of light with the precision $\pm 1\%$ and has $1.05\times {10}^{-13} \mathrm{m}$ uncertainty in position. $\left(h=6.6\times {10}^{-34} \mathrm{kg}{ \mathrm{m}}^2{ \mathrm{s}}^{-1}\right)$

If the uncertainty in momentum and uncertainty in the position of a particle are equal, then the uncertainty in its velocity would be given by _____

Find the uncertainty in the position of an electron which is moving with a velocity of $2.99\mathrm{x}{10}^4 \mathrm{cm}·{\mathrm{s}}^{-1}$, accurate up to $0.0016\%.$ $($Given, $\left.m_e=9.1\times {10}^{-28} \mathrm{g},h=6.626\times {10}^{-27}\mathrm{erg}.\mathrm{s}\right)$

If a proton is accelerated to a velocity of $3\times {10}^7 \mathrm{m}·{\mathrm{s}}^{-1}$ which is accurate up to $\pm 0.5\%,$ then the uncertainty in its position will be [mass of proton $=1.66\times {10}^{-27} \mathrm{kg},\mathrm{h}=6.6\times {10}^{-34} \mathrm{J}.\left.\mathrm{s}\right]$

If the position of the electron is measured within an accuracy of $\pm 0.002 \mathrm{nm}$. What is the uncertainty in the momentum of the electron.

What is the uncertainty in position of an electron if uncertainty in its velocity is $0.001\%$. Planck's constant $\mathrm{h}=6.62\times {10}^{-34} \mathrm{Js}$.

The uncertainty in the position and velocity of a particle are ${10}^{-10} \mathrm{m}$ and $5.27 \mathrm{x} {10}^{-24} {\mathrm{ms}}^{-1}$ respectively. What is the mass of the particle. $(\mathrm{h}=6.625 \mathrm{x} {10}^{-34} \mathrm{Js})$.

According to Heisenberg uncertainty principle, which two quantities cannot be accuracy measured together at the same instant of time?

According to Heisenberg uncertainty principle, which two quantities cannot be accuracy measured together at the same instant of time?

Given: The mass of electron is $9.11\times {10}^{-31} \mathrm{k}\mathrm{g},$ Planck constant is $6.626\times {10}^{-34} \mathrm{J},$ the uncertainty involved in the measurement of velocity within a distance of $0.1 \stackrel{°}{\mathrm{A}}$ is

In an atom, an electron is moving with a speed of $600 \mathrm{m}/\mathrm{s}$ with an accuracy of $0.005\%$. Certainty with which the position of the electron can be located is $(\mathrm{h} = 6.6 \mathrm{x} {10}^{-3 4} \mathrm{kg} {\mathrm{m}}^2 {\mathrm{s}}^{-1} , \mathrm{mass} \mathrm{of} \mathrm{electron}, {\mathrm{m}}_{\mathrm{e}} = 9.1 \mathrm{x} {10}^{-31} \mathrm{kg})$

Given: The mass of electron is $9.11\times {10}^{-31}\mathrm{k}\mathrm{g},$ Planck constant is $6.626\times {10}^{-34}\mathrm{J},$ the uncertainty involved in the measurement of velocity within a distance of $0.1\stackrel{\mathrm{o}}{\mathrm{A}}$ is

If a third flying dust particle of mass $1 \mathrm{mg}$ had the same uncertainty in position as in its velocity, the uncertainty in its momentum would be

The uncertainty in the velocity of the heavier dust particle as compared to the lighter dust particle is