Consider an atom with atomic number Z as consisting of a positive point charge at the centre and surrounded by a distribution of negative electricity uniformly distributed within a sphere of radius R. The electric field at a point inside the atom at a distance r from the centre is

Question

Consider an atom with atomic number Z as consisting of a positive point charge at the centre and surrounded by a distribution of negative electricity uniformly distributed within a sphere of radius R. The electric field at a point inside the atom at a distance r from the centre is (A) (Z e/4 π ε0)[(1/r2)-(r/R3)] (B) (Z e/4 π ε0)[(1/r2)+(1/R3)] (C) (2 Z e/4 π ε0 r2) (D) Zero

Tardigrade Admin · Accepted Answer

E=E1-E2 E=(k . z e/r2)-(k z e r/R3)

Q. Consider an atom with atomic number $Z$ as consisting of a positive point charge at the centre and surrounded by a distribution of negative electricity uniformly distributed within a sphere of radius $R$ . The electric field at a point inside the atom at a distance $r$ from the centre is

$\frac{Z e}{4 π ε _{0}} [\frac{1}{r ^{2}} - \frac{r}{R ^{3}}]$

$\frac{Z e}{4 π ε _{0}} [\frac{1}{r ^{2}} + \frac{1}{R ^{3}}]$

$\frac{2 Z e}{4 π ε _{0} r ^{2}}$

Zero

$E = E_{1} - E_{2}$
$E = \frac{k . ze}{r ^{2}} - \frac{k zer}{R ^{3}}$

Q. Consider an atom with atomic number Z as consisting of a positive point charge at the centre and surrounded by a distribution of negative electricity uniformly distributed within a sphere of radius R. The electric field at a point inside the atom at a distance r from the centre is

4πε0​Ze​[r21​−R3r​]

4πε0​Ze​[r21​+R31​]

4πε0​r22Ze​