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Saturday, 31 October

JEE Main 2020 · PhysicsMultiple choiceDiagram basedMediumCalculation

JEE Main 2 September 2020, Shift 2, Physics Q10

Question 10 of 75 in this shift, Physics question 10 of 25.

A charge Q is distributed over two concentric conducting thin spherical shells radii r and R (R > r). If the surface charge densities on the two shells are equal, the electric potential at the common centre is :

The figure, in words

Two concentric circles with a dot at the common centre; the inner circle is labelled r (radius line drawn to it) and the outer circle is labelled R (radius line drawn to it).
  1. (1)14πϵ0(2R+r)(R2+r2)Q\frac{1}{4\pi\epsilon_0}\frac{(2R + r)}{(R^2 + r^2)}Q
  2. (2)14πϵ0(R+r)2(R2+r2)Q\frac{1}{4\pi\epsilon_0}\frac{(R + r)}{2(R^2 + r^2)}Q
  3. (3)14πϵ0(R+2r)Q2(R2+r2)\frac{1}{4\pi\epsilon_0}\frac{(R + 2r)Q}{2(R^2 + r^2)}
  4. (4)14πϵ0(R+r)(R2+r2)Q\frac{1}{4\pi\epsilon_0}\frac{(R + r)}{(R^2 + r^2)}QOfficial answer

Official answer

Option 4

NTA final key (Sep 2020).

Same idea in other shifts

Asked 2× in all
  1. 3 Sep 2020, Shift 2 · Q11Concentric metallic hollow spheres of radii R and 4R hold charges Q1Q_1 and Q2Q_2 respectively. Given that surface charge densities of the…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. This question needs a figure we do not reproduce; it is described in words above. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.