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MCQ practice · SSC Physics Board questions · Chapter 11: Current Electricity

Barishal Board 2021

How many 100 Ω resistors must be joined in parallel to get the resistance equal to that of two 5 Ω resistors joined in series?

Think it through first, then pick an option.

  1. a 5
  2. b 10
  3. c 20
  4. d 50
Answer and explanation

Correct answer: b 10

Two 5 Ω in series give 10 Ω; n resistors of 100 Ω in parallel give 100 ÷ n = 10, so n = 10.

Why the other options are wrong

  • a 5: With 5 the value would be 100 ÷ 5 = 20 Ω; 10 Ω is needed, so 10 resistors.
  • c 20: With 20 the value would be 100 ÷ 20 = 5 Ω; 10 Ω is needed, so 10 resistors.
  • d 50: With 50 the value would be 100 ÷ 50 = 2 Ω; 10 Ω is needed, so 10 resistors.