CBSE Class 10 Science 2024: question 25(A)
Set in the CBSE Class 10 board exam of 2024, paper 31/1/1, section B, question 25(A), for 2 marks. Try it first; the hints and our step-by-step solution are below.
Q25(A) · 2 marks · Very short answerElectricity
Show how you would connect three resistors each of resistance , so that the combination has a resistance of . Also justify your answer.
Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 31/1/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
Three in series give 18 Ω and three in parallel give 2 Ω, so try a mixed arrangement.
Hint 2
What do two 6 Ω resistors in parallel give? Add one more in series.
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.
- 1 mark
Arrangement: connect two resistors in parallel and connect the third resistor in series with this parallel pair. Diagram: two 6 Ω resistors side by side between points A and B, then a third 6 Ω resistor from B to C.
- 1 mark
Justification: , so . Then .
Answer: Two 6 Ω in parallel (3 Ω) in series with the third 6 Ω gives 9 Ω
Where the marks are
- Correct arrangement stated or drawn (1 mark)
- Calculation showing and total (1 mark)
Revise the chapter
- Chapter: Electricity (notes, formulas, where marks are lost and every past question)
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