The electric field inside a sphere having charge density related to the distance from the centre as r (a is a constant) is:

Option 1 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mi>α</mi> <mtext> </mtext> <mtext> </mtext> <msup> <mrow> <mi>r</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msup> </mrow> <mrow> <mn>4</mn> <msub> <mrow> <mo>∈</mo> </mrow> <mrow> <mn>0</mn> </mrow> </msub> </mrow> </mfrac> </mrow> </math> </span></p>
Option 2 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mi>α</mi> <mtext> </mtext> <mtext> </mtext> <msup> <mrow> <mi>r</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> </mrow> <mrow> <mn>4</mn> <msub> <mrow> <mo>∈</mo> </mrow> <mrow> <mn>0</mn> </mrow> </msub> </mrow> </mfrac> </mrow> </math> </span></p>
Option 3 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mi>α</mi> <mtext> </mtext> <mtext> </mtext> <msup> <mrow> <mi>r</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> </mrow> <mrow> <mn>3</mn> <msub> <mrow> <mo>∈</mo> </mrow> <mrow> <mn>0</mn> </mrow> </msub> </mrow> </mfrac> </mrow> </math> </span></p>
Option 4 - <p>none of these</p>
8 Views|Posted 4 months ago
Asked by Shiksha User
1 Answer
A
4 months ago
Correct Option - 2
Detailed Solution:

From Guass's Law

? E . d A = q i n 0            

E . 4 π r 2 = 0 r ( 4 π r 2 . d r ) ( α r ) 0            

E = ( α r 2 4 0 )            

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The following are the topics covered in this chapter: Electric Field and Field Lines, Gauss's Law, Electric Dipole, Conductors and Insulators, and Electric Flux. 

Indeed, it is an easy chapter of Class 12 Physics. In this chapter, you will learn about the foundational concepts like Gauss's law and electric fields.

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In the medical entrance test NEET, this chapter has a moderate weightage. You can expect around 2-3 questions of this chapter that contributes to the 3-5% of the total marks in the Physics section.

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Physics Ncert Solutions Class 12th 2023

Physics Ncert Solutions Class 12th 2023

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