Which of the following relationships of Heisenberg, are correct?

$\mathrm{I}. \mathrm{\Delta }P\cdot \mathrm{\Delta }x\ge \frac{h}{4\pi }$

$\mathrm{II}. \mathrm{\Delta }E\cdot \mathrm{\Delta }t\ge \frac{h}{4\pi }$

$\mathrm{III}. \mathrm{\Delta }\lambda \cdot \mathrm{\Delta }x\le \frac{-{\lambda }^2}{4\pi }$

$\mathrm{IV}. \mathrm{\Delta }V\cdot \mathrm{\Delta }x\ge \frac{h}{4\pi m}$

The correct relationship are,
$\text{ I. }\mathrm{\Delta }P\cdot \mathrm{\Delta }x\ge \frac{h}{4\pi }$

$\text{ II. }E=\frac{P^2}{2m}$

$\mathrm{\Delta }E=V\cdot \mathrm{\Delta }P$

$V=\frac{\mathrm{\Delta }x}{\mathrm{\Delta }t}$

$\mathrm{\Delta }P\cdot \mathrm{\Delta }x=\mathrm{\Delta }E\cdot \mathrm{\Delta }t$

$\text{ III. }P=\frac{h}{\lambda }\text{; }$

$\mathrm{\Delta }P=-\frac{h}{{\lambda }^2}\mathrm{\Delta }\lambda$

Hence, option D is correct.