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NEET2022Physics-Significant Figures

NEET 2022 Physics Significant Figures MCQ Question

Type: MCQ-numerical-Easy-Class 11

The area of a rectangular field (in m²) of length 55.3 m and breadth 25 m after rounding off the value for correct significant digits is:

A

1382.5

B

14 × 10²

C

138 × 10¹

D

1382

Correct Answer

Option B

Detailed Explanation

Chapter: Units and Measurements

Class: 11 Physics Topic: Significant Figures Difficulty: 🟢 Easy

✅ Ans: B — 14×102 m214\times10^2\ m^2

Area:

A=l×bA=l\times b A=55.3×25=1382.5 m2A=55.3\times25=1382.5\ m^2

For multiplication, the result should have the same number of significant figures as the measurement having the least significant figures.

  • 55.355.3 → 3 significant figures
  • 2525 → 2 significant figures

Therefore, answer must have 2 significant figures:

1382.5→1.4×1031382.5\rightarrow 1.4\times10^3

or

14×102 m2\boxed{14\times10^2\ m^2}

❌ Why other options are wrong?

  • 1382.5 ❌ Too many significant figures.
  • 14×10214\times10^2 ✅ 2 significant figures.
  • 138×101138\times10^1 ❌ Has 3 significant figures.
  • 1382 ❌ Has 4 significant figures.

📌 NCERT Rule

For multiplication/division:

Result has the same number of significant figures as the least precise measurement.\boxed{\text{Result has the same number of significant figures as the least precise measurement.}}

🧠 NEET Trick

Multiply → count significant figures → keep the least.

55.3(3 SF)×25(2 SF)⇒14×10255.3(3\,SF)\times25(2\,SF) \Rightarrow \boxed{14\times10^2}

Final Answer: B\boxed{B}

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