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Question

Physics Question on Significant figures

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 :
A

(A)-(III), (B)-(IV), (C)-(II), (D)-(I)

B

(A)-(IV), (B)-(III), (C)-(I), (D)-(II)

C

(A)-(II), (B)-(I), (C)-(IV), (D)-(III)

D

(A)-(I), (B)-(II), (C)-(III), (D)-(IV)

Answer

(A)-(II), (B)-(I), (C)-(IV), (D)-(III)

Explanation

Solution

To determine the number of significant figures in each number, we apply the following rules:

  • All non-zero digits are significant.
  • Leading zeros are not significant.
  • Trailing zeros are significant if there is a decimal point.

Matching the Numbers with Their Significant Figures

(A) 1001: All four digits are non-zero, so there are 4 significant figures.

(B) 010.1: The leading zero is not significant, so there are 3 significant figures.

(C) 100.100: All digits are significant, including the trailing zeros after the decimal. Thus, there are 6 significant figures.

(D) 0.0010010: The leading zeros are not significant, but all other digits, including the trailing zero, are significant. This gives 5 significant figures.

Matching

  • (A) 1001 - (II) 4
  • (B) 010.1 - (I) 3
  • (C) 100.100 - (IV) 6
  • (D) 0.0010010 - (III) 5

Conclusion: The correct matching is (A)-(II), (B)-(I), (C)-(IV), (D)-(III).