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### Solved/QM-06004 :: Probability for electron being in non-classical region

Show that the probability that electron in  the ground state of hydrogen  atom will be found outside the classical region is $13e^{-4}$.  It is   given that the normalized radial wave function of the  electron,  in the ground state, is  $$R_{10}({r}) = 2 \left(1\over a_0\right)^{3/2} \exp(-r/a_0)$$   where $$a_0=\frac{\hbar^2}{me^2}$$ is the Bohr radius and the energy levels of H atom are given to be $$E_n= -\frac{e^2}{2a_0n^2}$$

kapoor 01/04/19

### Solved-EM-03

Six charges are placed at positions given below:

 Charge Position Charge Position q (L, 0, 0) - q (-2L, 0,0) 2q (0, 2L, 0) - 2q (0, 0,3L) 3q (0,- 2L, 0) - 3q (0,0,L)

Compute the quadrupole moment  tensor of the system.

kapoor 01/04/19

### Solved/EM-04016

 Two grounded infinite conducting planes are kept along the $$XZ$$ and  $$YZ$$ planes, see Fig.2.  A charge $$q$$ is placed at (4,3). Find the force  acting on the charge $$q$$.
kapoor 01/04/19

### Solved/EM-02029

 Find the direction and magnitude of $\vec{E}$ at the center of a rhombus, with interior angles of $\pi/3$ and $2\pi/3$,  with charges at the corners as shown in figure. Assume that      $q= 1\times 10^{-8}$C, $a=5$cm
kapoor 01/04/19

### Solved-EM-01002 :: Inkjet Printer

 Inkjet Printer If an ink drop has a mass of $50\times10^{-9}$g and is given a  charge of  $-200\times 10^{-15}$ C, find vertical displacement in an inkjet printer with 3keV deflection potential, 3mm plate separation and 15 mm deflection plate length. The nozzle ejects the drop with velocity 25 m sec$^{-1}$ and leaving edge of the deflection plate is at a distance 15 mm from the paper.

ANS:: 2.16mm

kapoor 31/03/19

### PTR/EM-04001 Properties of Conductors

Summary (or abstract) not available for this node.
kapoor 31/03/19

### PTR/EM-09001 What is true in statics is false in dynamics?

Summary (or abstract) not available for this node.
kapoor 31/03/19

### Cross-Roads-QM-06 :: Postulates of Quantum Mechanics

QM-06. :: Postulates of Quantum Mechanics

kapoor 31/03/19

kapoor 15/03/19

### Mathematical Physics :: Lecture Notes == Home-Page

Lectures in Mathematical Physics

kapoor 15/03/19