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Units and Measurements question

2025 · 3 Apr · Shift 1 · Q52
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Units and Measurements question

2025 · 3 Apr · Shift 1 · Q52

JEE MainPhysicsUnits and MeasurementsMCQ+4 / −1
A person measures mass of 3 different particles as 435.42 g,226.3 g435.42 \mathrm{~g}, 226.3 \mathrm{~g}435.42 g,226.3 g and 0.125 g . According to the rules for arithmetic operations with significant figures, the addition of the masses of 3 particles will be.
  1. A
    661.845 g
  2. B
    661.84 g
  3. C
    662 g
  4. D
    661.8 g
View written solutionFree

Correct answer: D

  1. Write the given masses

    m1=435.42 g,m2=226.3 g,m3=0.125 gm_1 = 435.42\,\text{g}, \quad m_2 = 226.3\,\text{g}, \quad m_3 = 0.125\,\text{g}m1​=435.42g,m2​=226.3g,m3​=0.125g

  2. Add them normally

    m1+m2+m3=435.42+226.3+0.125m_1 + m_2 + m_3 = 435.42 + 226.3 + 0.125m1​+m2​+m3​=435.42+226.3+0.125

    First, 435.42+226.3=661.72435.42 + 226.3 = 661.72435.42+226.3=661.72

    Then, 661.72+0.125=661.845 g661.72 + 0.125 = 661.845\,\text{g}661.72+0.125=661.845g

  3. Apply the rule for addition with significant figures

    For addition/subtraction, the result is rounded according to the least number of decimal places among the given measurements.

    • 435.42435.42435.42 has 2 decimal places
    • 226.3226.3226.3 has 1 decimal place
    • 0.1250.1250.125 has 3 decimal places

    So the final answer must be reported to 1 decimal place.

  4. Round the sum

    Exact sum: 661.845 g661.845\,\text{g}661.845g

    Rounded to 1 decimal place: 661.8 g661.8\,\text{g}661.8g

  5. Check options

    • A: 661.845 g661.845\,\text{g}661.845g → not rounded properly
    • B: 661.84 g661.84\,\text{g}661.84g → 2 decimal places, incorrect
    • C: 662 g662\,\text{g}662g → rounded to nearest integer, too coarse
    • D: 661.8 g661.8\,\text{g}661.8g → correct

Therefore, the correct option is D.

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