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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceSingle correctEasyCalculation

JEE Main 29 June 2022, Shift 2, Physics Q48

Question 48 of 90 in this shift, Physics question 18 of 30, Section A.

If the electric potential at any point (x, y, z)(x,\,y,\,z) mm in space is given by V=3x2V=3x^2 volt. The electric field at the point (1, 0, 3)(1,\,0,\,3) mm will be :
  1. (1)3 Vm−1Vm^{-1}, directed along positive xx-axis.
  2. (2)3 Vm−1Vm^{-1}, directed along negative xx-axis.
  3. (3)6 Vm−1Vm^{-1}, directed along positive xx-axis.
  4. (4)6 Vm−1Vm^{-1}, directed along negative xx-axis.Official answer

Official answer

Option 4

NTA final key.

Chapter
Electrostatic Potential and Capacitance
Topic
Electric Potential
Idea tested
Electric Field from 3D Potential Function

Same topic in other shifts

All Electric Potential questions
  1. 6 Apr 2026, Shift 2 · Q37The electric potential as a function of x,yx, y is given by V=5(x2−y2)V=5(x^2-y^2) V. The electric field at a point (2, 3) m is __________ V/m.EasySingle correct
  2. 6 Apr 2026, Shift 2 · Q40A sphere of capacitance 100 pF is charged to a potential of 100 V. Another identical uncharged metal sphere is brought in contact with the…MediumSingle correct
  3. 2 Apr 2025, Shift 2 · Q42Two large plane parallel conducting plates are kept 10 cm apart as shown in figure. The potential difference between them is V. The…MediumDiagram basedHas a figure
  4. 3 Apr 2025, Shift 1 · Q39The electrostatic potential on the surface of uniformly charged spherical shell of radius R = 10 cm is 120 V. The potential at the centre…EasySingle correct
  5. 7 Apr 2025, Shift 1 · Q38Two charges q1q_1 and q2q_2 are separated by a distance of 30 cm. A third charge q3q_3 initially at 'C' as shown in the figure, is moved…MediumDiagram basedHas a figure
  6. 8 Apr 2025, Shift 2 · Q35Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : Work done in moving a…EasyAssertion–reason

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. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.