JEE Main 2021 · 27 August · evening · Single correct · +4 / −1

The Colour coding on a carbon resistor is shown in the given figure. The resistance value of the given resistor is :

JEE Main PYQ figure
  1. (a) (5700 ± 285) Ω
  2. (b) (7500 ± 750) Ω
  3. (c) (5700 ± 375) Ω
  4. (d) (7500 ± 375) Ω
Answer and solution

Answer (d) (7500 ± 375) Ω

Solution

Physics sir · 2 steps

Read the bands from the end farthest from gold: two digits, a multiplier, then the tolerance.

  1. Order of bands. Start from the band nearest one end and keep the gold or silver band last. The first two bands are digits, the third is the power of 10, and the fourth is the tolerance.
    BandColourMeaningValue
    1stVioletfirst digit7
    2ndGreensecond digit5
    3rdRedmultiplier10²
    4thGoldtolerance± 5%

    R = 75 × 10² Ω = 7500 Ω, Δ R = 0.05 × 7500 Ω = 375 Ω

  2. So. The resistance is (7500 ± 375) Ω, which is option (d).

The idea to keep. Use the mnemonic B B R O Y Great Britain Very Good Wife (0 to 9). Gold means ± 5% and silver means ± 10%, always taken as a percentage of the resistance value.

Answer from the NTA final answer key. Solution by PrepWiser.

Study Current Electricity

Asked about 250 times in JEE Main since 2020. This question is from 2021.