QJEEM22Phe8de: JEE Main 2022 Physics - Class 12 JEEM22Phe8de Solution: The volume charge density of a sphere of radius 6   m is 2 …

Question

Verified Solution • 2025–26 Session moderate

QJEEM22Phe8de: JEE Main 2022 Physics - Class 12 JEEM22Phe8de Solution: The volume charge density of a sphere of radius 6   m is 2 …

The volume charge density of a sphere of radius $6 m$ is $2 μ C {cm}^{- 3}$ . The number of lines of force per unit surface area coming out from the surface of the sphere is _______________ $\times 10^{10} {NC}^{- 1}$ .

[Given : Permittivity of vacuum $ϵ_{0} = 8.85 \times 10^{- 12} C^{2} N^{- 1} - m^{- 2}$ )

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank

Browse year-wise authentic previous years' questions with solutions

Authentic CBT Mock Tests

Simulate official exam environment with live timer and percentile scoring

Accepted Answer

$ρ$ = 2 $μ$ c/cm³

R = 6 m

Number of lines of force per unit area = Electric field at surface.

$= \frac{K Q}{R^{2}}$

$= \frac{1}{4 π ε_{0}} \frac{ρ \frac{4}{3} π R^{3}}{R^{2}}$

$= \frac{ρ R}{3 \in_{0}}$

$= \frac{2 \times 10^{- 6} \times 10^{6} \times 6}{3 \times 8.85 \times 10^{- 12}}$

$= 0.45197 \times 10^{12}$

$= 45.19 \times 10^{10}$ N/C

$≃ 45 \times 10^{10}$

QJEEM22Phe8de: JEE Main 2022 Physics - Class 12 JEEM22Phe8de Solution: The volume charge density of a sphere of radius 6 &nbsp; m is 2 …

Step-by-Step Verified Solution

Related Learning Resources & Exam Preparation

QJEEM22Phe8de: JEE Main 2022 Physics - Class 12 JEEM22Phe8de Solution: The volume charge density of a sphere of radius 6 m is 2 …