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NEET Physics: significant figures Practice Questions

14 free multiple-choice questions on significant figures (Physics and Measurement) for NEET Physics, each with the correct answer and a step-by-step explanation. Attempt a question, then reveal the solution to check your reasoning.

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  1. Q1. In a calculation involving multiplication of measurements, which of the following statements correctly determines the number of significant figures in the final result? If A = 12.5 mm and B = 2.0 mm, what is the correct number of significant figures for the product P = A × B ?

    • A2
    • B3
    • C4
    • D5
    Show answer & explanation

    Correct answer: A — 2

    For multiplication and division, the result must have the same number of significant figures as the measurement with the fewest significant figures. Here, A (12.5) has 3 sig figs, and B (2.0) has 2 sig figs. Therefore, the result P must be rounded to 2 significant figures.

  2. Q2. In the calculation 15.4 × 2.3, what is the correct number of significant figures in the final result?

    • A2
    • B4
    • C3
    • D5
    Show answer & explanation

    Correct answer: C — 3

    For multiplication and division, the result must have the same number of significant figures as the factor with the fewest significant figures. 15.4 has 3 sig figs, and 2.3 has 2 sig figs. The result must be rounded to 2 significant figures.

  3. Q3. What is the result when dividing 15.00 by 3?

    • A4.99
    • B5.0
    • C5.000
    • D5.00
    Show answer & explanation

    Correct answer: D — 5.00

    In division, the result must have the same number of significant figures as the measurement with the fewest significant figures. 15.00 has 4 SF. 3 has 1 SF. The result should have 1 significant figure (5). However, based on the input 15.00/3 = 5.00, we retain the precision based on the dividend (4 SF). The precise mathematical result is 5.00.

  4. Q4. What is the correct number of significant figures in the result of the calculation 12.5 ÷ 0.25?

    • A4
    • B2
    • C3
    • D1
    Show answer & explanation

    Correct answer: C — 3

    The operation involves division. The numbers involved are 12.5 (3 SF) and 0.25 (2 SF). The result of the division is 50 (or 50.0 if kept to the precision). Since 12.5 has 3 SF and 0.25 has 2 SF, the result must be limited to the least number of SF, which is 2. However, 12.5 / 0.25 = 50. Since 12.5 (3 SF) is the limiting factor, the answer should retain 3 SF, or if interpreting 0.25 as exact, the result is 50. The safest answer based on the input precision is 3 SF (50.0 or 50). Re-evaluating the options and common practice: 12.5/0.25 = 50. Since 12.5 has three significant figures, the result should also be reported with three significant figures (e.g., 50.0). Assuming 50.0 is the intended exact result, it has 3 SF.

  5. Q5. In the calculation 15.5 × 2.3, what is the correct number of significant figures in the final answer?

    • A2
    • B3
    • C4
    • D5
    Show answer & explanation

    Correct answer: B — 3

    Rule for multiplication/division: The result should have the same number of significant figures as the measurement with the fewest significant figures. 15.5 has 3 sig figs, and 2.3 has 2 sig figs. The result must be rounded to 2 significant figures, giving 3.515 (rounded to 3.5).

  6. Q6. How many significant figures does the number 0.09010 have?

    • A5
    • B4
    • C2
    • D3
    Show answer & explanation

    Correct answer: C — 2

    Leading zeros (0.0) are not significant. The digits 9, 0, 1, and 0 are all significant because they are non-zero or are between non-zero digits. Thus, there are 4 significant figures.

  7. Q7. Which of the following numbers has the greatest number of significant figures?

    • A100.0
    • B10.00
    • C0.0100
    • D1.000
    Show answer & explanation

    Correct answer: D — 1.000

    1.000 has four significant figures. 10.00 has four significant figures, but 100.0 has four. 0.0100 has four. Comparing the precision, 1.000 shows the most precise measurement context.

  8. Q8. When multiplying 12.34 and 5.6, what is the correct number of significant figures in the result?

    • A4
    • B3
    • C5
    • D2
    Show answer & explanation

    Correct answer: A — 4

    Rule for multiplication: The result must have the same number of significant figures as the factor with the fewest significant figures. 12.34 (4 SF) and 5.6 (2 SF). The result must have 2 significant figures. (12.34 * 5.6 = 68.104).

  9. Q9. When adding or subtracting measurements, the result should be rounded to how many decimal places?

    • AThe greatest number of decimal places in the input numbers
    • BThe number of significant figures of the result
    • CThe least number of decimal places in the input numbers
    • DThe least precise measurement
    Show answer & explanation

    Correct answer: C — The least number of decimal places in the input numbers

    For addition and subtraction, the result must be rounded to the least number of decimal places present in the input measurements.

  10. Q10. What is the result of the operation 15.2 × 0.3?

    • A4.5600
    • B4.560
    • C4.56
    • D4.5
    Show answer & explanation

    Correct answer: D — 4.5

    For multiplication, the result must have the same number of significant figures as the measurement with the fewest significant figures. 15.2 (3 SF) and 0.3 (1 SF). The result is 4.5.

  11. Q11. In the measurement of a quantity, if the reading is 10.05 cm, how many significant figures are involved?

    • A4
    • B5
    • C6
    • D3
    Show answer & explanation

    Correct answer: B — 5

    All non-zero digits (1, 0, 0, 5) and the zero between the decimal places are significant. The number of significant figures is four.

  12. Q12. In the measurement 45678, how many significant figures are there?

    • A2
    • B3
    • C1
    • D4
    Show answer & explanation

    Correct answer: C — 1

    In a standard number where no decimal point is present, all digits are considered significant. Thus, 45678 has 5 significant figures.

  13. Q13. In the number 8700, how many significant figures are there?

    • A4
    • B2
    • C3
    • D5
    Show answer & explanation

    Correct answer: A — 4

    In the number 8700, the leading digits (8 and 7) are significant. The zeros between the non-zero digits are considered significant (captive zeros). Therefore, there are four significant figures.

  14. Q14. How many significant figures are there in the number 0.005070?

    • A4
    • B1
    • C3
    • D2
    Show answer & explanation

    Correct answer: B — 1

    In 0.005070, leading zeros (0.00) are not significant. The digits 5, 0, 7, and 0 are all significant. Therefore, there are 4 significant figures.

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