WB JEE 2022 | Electrostatics Question 14 | Physics

A neutral conducting solid sphere of radius R has two spherical cavities of radius a and b as shown in the figure. Centre to centre distance between two cavities is c. q_a and q_b charges are placed at the centres of cavities respectively. The force between q_a and q_b is

$${1 \over {4\pi {\varepsilon _0}}}{{{q_a}{q_b}} \over {{c^2}}}$$

$${1 \over {4\pi {\varepsilon _0}}}{q_a}{q_b}\left( {{1 \over {{a^2}}} + {1 \over {{b^2}}}} \right)$$

zero

insufficient data

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

Consider two concentric conducting sphere of radii R and 2R respectively. The inner sphere is given a charge +Q. The other sphere is grounded. The potential at $$r = {{3R} \over 2}$$ is

$${1 \over {4\pi {\varepsilon _0}}}{Q \over {6R}}$$

$${1 \over {4\pi {\varepsilon _0}}}{{2Q} \over {3R}}$$

$${1 \over {4\pi {\varepsilon _0}}}{Q \over R}$$

WB JEE 2021

MCQ (Single Correct Answer)

-0.25

WB JEE 2021 Physics - Electrostatics Question 18 English

The variation of electric field along the Z-axis due to a uniformly charged circular ring of radius a in XY-plane as shown in the figure. The value of coordinate M will be

$${1 \over 2}$$

$$\sqrt 2 $$

$${1 \over {\sqrt 2 }}$$

WB JEE 2021

MCQ (Single Correct Answer)

-0.25

A metal sphere of radius R carrying charge q is surrounded by a thick concentric metal shell of inner and outer radii a and b, respectively. The net charge on the shell is zero. The potential at the centre of the sphere, when the outer surface of the shell is grounded will be

$${q \over {4\pi {\varepsilon _0}}}\left( {{1 \over a} - {1 \over b}} \right)$$

$${q \over {4\pi {\varepsilon _0}}} - {1 \over a}$$

$${q \over {4\pi {\varepsilon _0}}}\left( {{1 \over R} - {1 \over a}} \right)$$

$${q \over {4\pi {\varepsilon _0}}} - {1 \over R}$$

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