CBSE Class 12 Physics 2024: question 13
Set in the CBSE Class 12 board exam of 2024, paper 55/5/1, section A, question 13, for 1 mark. Try it first; the hints and our step-by-step solution are below.
Q13 · 1 mark · Assertion-reasonCompetency-basedElectric Charges and Fields
For Questions 13 to 16, two statements are given – one labelled Assertion (A) and other labelled Reason (R).
Assertion (A): Equal amount of positive and negative charges are distributed uniformly on two halves of a thin circular ring as shown in figure. The resultant electric field at the centre O of the ring is along OC.
Reason (R): It is so because the net potential at O is not zero.
- (A)If both Assertion (A) and Reason (R) are true and Reason (R) is correct explanation of Assertion (A).
- (B)If both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
- (C)If Assertion (A) is true but Reason (R) is false.
- (D)If both Assertion (A) and Reason (R) are false.
Figure in the paper: Circular ring with centre O; points A (top), B (left), C (bottom), D (right) marked, with dashed diameters AC and BD. Upper half (A side, between B and D) carries + charges, lower half (C side) carries – charges. See it in the official paper.
Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 55/5/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
Field points from positive towards negative charges.
Hint 2
Potential is a scalar: add contributions of +Q and −Q at equal distance.
Step-by-step solution
Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.
- ½ mark
Field of each element points away from + charges and towards − charges; horizontal components cancel by symmetry, vertical components add downward, so the net field at O is along OC. Assertion true.
- ½ mark
Net potential at O = , so Reason is false. Option (C).
Answer: Option (C)
Where the marks are
- Assertion true (field along OC), Reason false (V = 0) (1 mark)
Revise the chapter
- Chapter: Electric Charges and Fields (notes, formulas, where marks are lost and every past question)
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The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.