Consider an atom with atomic number Z as consisting of a positive point charge at centre and surroun

English

Gujarati

Hindi

1. Electric Charges and Fields

medium

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

$\frac{ Ze }{4 \pi \varepsilon_0}\left[\frac{1}{r^2}-\frac{r}{R^3}\right]$

B

$\frac{Z e}{4 \pi \varepsilon_0}\left[\frac{1}{r^2}+\frac{1}{R^3}\right]$

C

$\frac{2 Z e}{4 \pi \varepsilon_0 r^2}$

D

$0$

Solution

(a)

$E=E_1-E_2$

$E=\frac{k \cdot z e}{r^2}-\frac{k z e r}{R^3}$

Standard 12

Physics

Share

Similar Questions

A spherical conductor of radius $10\, cm$ has a charge of $3.2 \times 10^{-7} \,C$ distributed uniformly. What is the magnitude of electric field at a point $15 \,cm$ from the centre of the sphere?

$\left(\frac{1}{4 \pi \epsilon_{0}}=9 \times 10^{9} Nm ^{2} / C ^{2}\right)$

medium

(NEET-2020)

A solid ball of radius $R$ has a charge density $\rho $ given by $\rho = {\rho _0}\left( {1 – \frac{r}{R}} \right)$ for $0 \leq r \leq R$. The electric field outside the ball is

hard

(JEE MAIN-2018)

Three infinitely long charge sheets are placed as shown in figure. The electric field at point $P$ is

medium

(IIT-2005)

Which of the following graphs shows the variation of electric field $E$ due to a hollow spherical conductor of radius $R$ as a function of distance $r$ from the centre of the sphere

easy

The electric field due to a uniformly charged sphere of radius $R$ as a function of the distance $r$ from its centre is represented graphically by

medium

(AIIMS-2004)