(a) Define gradient of a scalar function $\phi$. Show that gradient o…
Previous year question for Applied Engineering Physics.
Question
(a) Define gradient of a scalar function $\phi$. Show that gradient of a scalar function at any point is a vector representing the greatest rate of change of the scalar function at that point and is always perpendicular to the level surface. (12)
(b) A $10\text{ eV}$ electron is incident on a barrier of height $20\text{ eV}$. What is the probability that the electron will tunnel through the barrier if its width is (i) $0.5\text{ nm}$ and (ii) $0.10\text{ nm}$. (8)
- Year: 2018
- Subject: Applied Engineering Physics