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Units and Measurements question

2024 · 1 Feb · Shift 2 · Q66
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Units and Measurements question

2024 · 1 Feb · Shift 2 · Q66

JEE MainPhysicsUnits and MeasurementsMCQ+4 / −1
Match List - I with List - II.

List I (Number) List II (Significant figure)
(A) 1001 (I) 3
(B) 010.1 (II) 4
(C) 100.100 (III) 5
(D) 0.0010010 (IV) 6

Choose the correct answer from the options given below :
  1. A
    (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
  2. B
    (A)-(IV), (B)-(III), (C)-(I), (D)-(II)
  3. C
    (A)-(I), (B)-(II), (C)-(III), (D)-(IV)
  4. D
    (A)-(III), (B)-(IV), (C)-(II), (D)-(I)
View written solutionFree

Correct answer: A

  1. Rules for significant figures

    • All non-zero digits are significant.
    • Zeros between non-zero digits are significant.
    • Leading zeros are not significant.
    • Trailing zeros to the right of a decimal are significant.
  2. Count significant figures in each number

    (A) 100110011001

    • The two zeros are between non-zero digits.
    • So all digits are significant.
    • Significant figures =4= 4=4.
    • Hence, (A)→(II)(A) \to (II)(A)→(II).

    (B) 010.1010.1010.1

    • The initial zero is a leading zero, so it is not significant.
    • Digits counted: 1,0,11,0,11,0,1.
    • The zero is between non-zero digits, so it is significant.
    • Significant figures =3= 3=3.
    • Hence, (B)→(I)(B) \to (I)(B)→(I).

    (C) 100.100100.100100.100

    • In a decimal number, zeros between non-zero digits are significant.
    • Also, trailing zeros to the right of decimal are significant.
    • Digits: 1,0,0,1,0,01,0,0,1,0,01,0,0,1,0,0 are all significant.
    • Significant figures =6= 6=6.
    • Hence, (C)→(IV)(C) \to (IV)(C)→(IV).

    (D) 0.00100100.00100100.0010010

    • Leading zeros before the first non-zero digit are not significant.
    • After the first non-zero digit, zeros between non-zero digits are significant.
    • The final zero is to the right of decimal and after a non-zero digit, so it is significant.
    • Significant digits counted: 1,0,0,1,01,0,0,1,01,0,0,1,0.
    • Significant figures =5= 5=5.
    • Hence, (D)→(III)(D) \to (III)(D)→(III).
  3. Final matching

    (A)−(II),(B)−(I),(C)−(IV),(D)−(III)(A)-(II),\quad (B)-(I),\quad (C)-(IV),\quad (D)-(III)(A)−(II),(B)−(I),(C)−(IV),(D)−(III)
  4. Compare with options

    This corresponds to Option A.

  5. Comparison with stored correct answer

    • Derived answer: A
    • Stored correct answer: A
    • They agree.
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