SATHEE: Electrostatics 3 Question 8

Electrostatics 3 Question 8

8. Three concentric metallic spherical shells of radii $R, 2 R$ and $3 R$ are given charges $Q_{1}, Q_{2}$ and $Q_{3}$ , respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, $Q_{1} : Q_{2} : Q_{3}$ , is

(2009)

(a) $1 : 2 : 3$

(b) $1 : 3 : 5$

(d) $1 : 8 : 18$

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Answer:

Correct Answer: 8. (b)

Solution:

$Q_{1} = σ (4 π R^{2}) = 4 π σ R^{2}$

$\begin{aligned} Q_{2} = 16 π σ R^{2} - Q_{1} = 12 π σ R^{2} \\ Q_{3} = 36 π σ R^{2} - 16 π σ R^{2} = 20 π σ R^{2} \\ Q_{1} : Q_{2} : Q_{3} = 1 : 3 : 5 \end{aligned}$

Electrostatics 3 Question 8

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Electrostatics 3 Question 8

8. Three concentric metallic spherical shells of radii R,2R and 3R are given charges Q1,Q2 and Q3, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q1:Q2:Q3, is

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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