Charges Q, 2Q and 4Q are uniformly distributed in three dielectric solid spheres 1, 2 and 3 of radii R2, R and 2R respectively, as shown in figure. If magnitudes of the electric fields at point P at a distance R from the centre of spheres 1, 2 and 3 are E1, E2 and E3 respectively, then[JEE Adv 2014 P2]

Question

Charges Q, 2Q and 4Q are uniformly distributed in three dielectric solid spheres 1, 2 and 3 of radii

R

2

, R and 2R respectively, as shown in figure. If magnitudes of the electric fields at point P at a distance R from the centre of spheres 1, 2 and 3 are E1, E2 and E3 respectively, then

[JEE Adv 2014 P2]

Accepted Answer

Correct Answer is : E2>E1>E3

Answer

<fmath alttext=" E_1 > E_2 > E_3" class="fm-inline"><mrow><mrow><msub><mi class="fm-mi-length-1" mathvariant="italic" style="padding-right: 0.44ex;">E</mi><mn>1</mn></msub><mo class="fm-infix-loose">></mo><msub><mi class="fm-mi-length-1" mathvariant="italic" style="padding-right: 0.44ex;">E</mi><mn>2</mn></msub></mrow><mo class="fm-infix-loose">></mo><msub><mi class="fm-mi-length-1" mathvariant="italic" style="padding-right: 0.44ex;">E</mi><mn>3</mn></msub></mrow></fmath>

Answer

<fmath alttext=" E_3 > E_1 > E_2" class="fm-inline"><mrow><mrow><msub><mi class="fm-mi-length-1" mathvariant="italic" style="padding-right: 0.44ex;">E</mi><mn>3</mn></msub><mo class="fm-infix-loose">></mo><msub><mi class="fm-mi-length-1" mathvariant="italic" style="padding-right: 0.44ex;">E</mi><mn>1</mn></msub></mrow><mo class="fm-infix-loose">></mo><msub><mi class="fm-mi-length-1" mathvariant="italic" style="padding-right: 0.44ex;">E</mi><mn>2</mn></msub></mrow></fmath>

Answer

<fmath alttext=" E_2 > E_1 > E_3" class="fm-inline"><mrow><mrow><msub><mi class="fm-mi-length-1" mathvariant="italic" style="padding-right: 0.44ex;">E</mi><mn>2</mn></msub><mo class="fm-infix-loose">></mo><msub><mi class="fm-mi-length-1" mathvariant="italic" style="padding-right: 0.44ex;">E</mi><mn>1</mn></msub></mrow><mo class="fm-infix-loose">></mo><msub><mi class="fm-mi-length-1" mathvariant="italic" style="padding-right: 0.44ex;">E</mi><mn>3</mn></msub></mrow></fmath>

Answer

<fmath alttext=" E_3 > E_2 > E_1" class="fm-inline"><mrow><mrow><msub><mi class="fm-mi-length-1" mathvariant="italic" style="padding-right: 0.44ex;">E</mi><mn>3</mn></msub><mo class="fm-infix-loose">></mo><msub><mi class="fm-mi-length-1" mathvariant="italic" style="padding-right: 0.44ex;">E</mi><mn>2</mn></msub></mrow><mo class="fm-infix-loose">></mo><msub><mi class="fm-mi-length-1" mathvariant="italic" style="padding-right: 0.44ex;">E</mi><mn>1</mn></msub></mrow></fmath>

Electrostatics

More Free Exams: