JEE Main 2019 (Online) 9th January Morning Slot | Electrostatics Question 172 | Physics

For a uniformly charged ring of radius R, the electric field on its axis has the largest magnitude at a distance h from its center. Then value of h is :

$${R \over {\sqrt 5 }}$$

$${R \over {\sqrt 2 }}$$

R$$\sqrt 2 $$

JEE Main 2018 (Online) 16th April Morning Slot

MCQ (Single Correct Answer)

-1

Two identical conducting spheres A and B, carry equal charge. They are separated by a distance much larger than their diameters, and the force between theis F. A third identical conducting sphere, C, is uncharged. Sphere C is first touhed to A, then to B, and then removed. As a result, the force between A and B would be equal to :

$${{3F} \over 4}$$

$${{3F} \over 8}$$

$${{F} \over 2}$$

JEE Main 2018 (Offline)

MCQ (Single Correct Answer)

-1

Three concentric metal shells A, B and C of respective radii a, b and c (a < b < c) have surface charge densities $$ + \sigma $$, $$ - \sigma $$ and $$ + \sigma $$ respectively. The potential of shell B is :

$${\sigma \over { \in {}_0}}\left[ {{{{b^2} - {c^2}} \over c} + a} \right]$$

$${\sigma \over { \in {}_0}}\left[ {{{{a^2} - {b^2}} \over a} + c} \right]$$

$${\sigma \over { \in {}_0}}\left[ {{{{a^2} - {b^2}} \over b} + c} \right]$$

$${\sigma \over { \in {}_0}}\left[ {{{{b^2} - {c^2}} \over b} + a} \right]$$

JEE Main 2018 (Online) 15th April Evening Slot

MCQ (Single Correct Answer)

-1

A solid ball of radius R has a charge density $$\rho $$
given by $$\rho $$ = $$\rho $$_o (1 $$-$$ $${\raise0.5ex\hbox{$\scriptstyle r$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle R$}}$$) for 0 $$ \le $$ r $$ \le $$ R. The electric field outside the ball is :

$${{{\rho _o}{R^3}} \over {{ \in _o}{r^2}}}$$

$${{{\rho _o}{R^3}} \over {12{ \in _o}{r^2}}}$$

$${{4{\rho _o}{R^3}} \over {3{ \in _o}{r^2}}}$$

$${{3{\rho _o}{R^3}} \over {4{ \in _o}{r^2}}}$$

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