If uncertainty in position and momentum are both equal, then uncertainty in velocity will be: 

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

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

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

4. $\frac{\mathrm{h}}{\mathrm{\pi }}$

If the position of the electron were measured with an accuracy of +0.002 nm, the uncertainty in the momentum of the electron would be: 

1. 5.637 × 10^–23 kg m s^–1

2. 4.637 × 10^–23 kg m s^–1

3. 2.637 × 10^–23 kg m s^–1

4. 3.637 × 10^–23 kg m s^–1

The measurement of the electron position is associated with an uncertainty in momentum which is equal to 1x10^-18 g cm s^-1. The uncertainty in velocity of the electron will be:

(mass of an electron is 9 x 10^-28 g)

1. 1 x 10⁹ cm s^-1                     

2. 1 x 10⁶ cm s^-1

3. 1 x 10⁵ cm s^-1                     

4. 1 x 10¹¹ cm s^-1