Heisenberg Uncertainty Principle

If the mass of electron is 9.11\times 10^-31 kg and the planck's constant is 6.626 \times 10^-34 Js, then the uncertainty involved in the measurement of velocity within a distance of 0.1 Å is:

1. $5.79\backslash times{10}^6$ $m{s}^{-1}$

2. $5.79\backslash times{10}^7$ $m{s}^{-1}$

3. $5.79\backslash times{10}^8$ $m{s}^{-1}$

4. $5.79\backslash times{10}^5$ $m{s}^{-1}$

If uncertainty in position and momentum are equal, then the uncertainty in velocity is:

1. $\frac{1}{2\mathrm{m}}\sqrt{\frac{\mathrm{h}}{\mathrm{\backslash pi}}}$

2. $\sqrt{\frac{\mathrm{h}}{2\mathrm{\backslash pi}}}$

3. $\frac{1}{\mathrm{m}}\sqrt{\frac{\mathrm{h}}{\mathrm{\backslash pi}}}$

4. $\sqrt{\frac{\mathrm{h}}{\mathrm{\backslash pi}}}$