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Q.74 Zoology ⭐ 360° Option Elimination Active
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NEET 2020 Zoology Question 74 Solution

Topic: Molecular Basis of Inheritance · Official NTA Booklet Code E1
NEET 2020 Zoology Question 74: Length of Human Diploid DNA Calculation: Total Base Pairs × Base-to-Base Distance

Question

If the distance between two consecutive base pairs is 0.34 nm and the total number of base pairs of a DNA double helix in a typical mammalian cell is 6.6×109 bp, then the length of the DNA is approximately:

  1. (1)2.0 meters
  2. (2)2.5 meters
  3. (3)2.2 meters
  4. (4)2.7 meters
✓
Verified Against NTA Final Answer Key
Option (3) : 2.2 meters
📚 Molecular Basis of Inheritance Easy
📋 Given Parameters & Problem Setup
Distance between consecutive bp 0.34 nm = 0.34 × 10^-9 m
Total bp in mammalian diploid genome 6.6 × 10^9 bp
Calculation Formula Length = Total bp × distance per bp
⚡

The 30-Second Exam Hall Shortcut: ⚡ "Length = 6.6 × 10^9 × 0.34 × 10^-9 = 2.244 m ≈ 2.2 meters!"

⏱️ 20 seconds

Multiply total base pairs (6.6×1096.6 \times 10^9) by the distance between consecutive base pairs (0.34×10−9 m0.34 \times 10^{-9}\text{ m}): the powers of 10 cancel (109×10−9=110^9 \times 10^{-9} = 1), leaving 6.6×0.34=2.244 m≈2.2 meters6.6 \times 0.34 = 2.244\text{ m} \approx 2.2\text{ meters}. Mark Option (3) in 5 seconds!

1 Formula: Length of DNA double helix = (Total number of bp) × (Distance between two consecutive bp).
2 Substitute: Length = 6.6 × 10^9 bp × 0.34 × 10^-9 m/bp.
3 Simplify exponents: 10^9 × 10^-9 = 1.
4 Calculate: 6.6 × 0.34 = 2.244 m ≈ 2.2 meters.
5 Select Option (3) 2.2 meters.
🛡️
Why You Can 100% Trust This Shortcut: NCERT Biology · Molecular Basis of Inheritance (Packaging of DNA Helix)
📐

Step-by-Step Rigorous Workflow & Mathematical Proof

Step 1

Formula for DNA Double Helix Length

The physical length of a double-stranded B-DNA molecule is simply the product of the total number of base pairs and the distance between adjacent base pairs along the helical axis: Length=Nbp×dbp\text{Length} = N_{\text{bp}} \times d_{\text{bp}}

Step 2

Identify Given Numerical Values

Total base pairs in diploid mammalian cell (NbpN_{\text{bp}}) = 6.6×109 bp6.6 \times 10^9\text{ bp}. Distance between adjacent base pairs (dbpd_{\text{bp}}) = 0.34 nm=0.34×10−9 meters0.34\text{ nm} = 0.34 \times 10^{-9}\text{ meters}.

Step 3

Perform Dimensional Multiplication

Length=(6.6×109)×(0.34×10−9 m)\text{Length} = (6.6 \times 10^9) \times (0.34 \times 10^{-9}\text{ m}) Length=6.6×0.34=2.244 meters≈2.2 meters\text{Length} = 6.6 \times 0.34 = 2.244\text{ meters} \approx 2.2\text{ meters}

Step 4

Biological Significance in NCERT

NCERT emphasizes that this ~2.2 meter long DNA thread is packaged into a typical microscopic nucleus measuring only approximately 10−6 m10^{-6}\text{ m} in diameter, necessitating elaborate supercoiling around histone octamers into nucleosomes and chromatin fibers.

⭐

360° Option Elimination Engine Key Feature

Diagnose every choice: Know exactly why the right option works and why distractors fail.

4-Option Deep Scan
1 A
✗ Incorrect
Verdict & Scientific Reason:

Incorrect; mathematical calculation yields 2.244 meters, not 2.0 meters.

⚠️
Student Fallacy (Why candidates pick this trap): Rough rounding error.
2 B
✗ Incorrect
Verdict & Scientific Reason:

Incorrect; overestimation of the product 6.6×0.346.6 \times 0.34.

⚠️
Student Fallacy (Why candidates pick this trap): Calculation arithmetic error.
3 C
✓ 100% Correct
Verdict & Scientific Reason:

Factually and mathematically exact; 6.6×109×0.34×10−9=2.244 m≈2.2 meters6.6 \times 10^9 \times 0.34 \times 10^{-9} = 2.244\text{ m} \approx 2.2\text{ meters}.

💡
Why this is airtight: None; textbook quantitative constant.
4 D
✗ Incorrect
Verdict & Scientific Reason:

Incorrect; significant overestimation.

⚠️
Student Fallacy (Why candidates pick this trap): Mistakenly multiplying by pitch (3.4 nm) instead of distance between base pairs.
⚠️

NTA Trap Alert: Haploid vs Diploid Base Pair Count

Human haploid genome = 3.3×109 bp3.3 \times 10^9\text{ bp} (length ~1.1 m). Human diploid mammalian cell = 6.6×109 bp6.6 \times 10^9\text{ bp} (length ~2.2 m).

🛡️ How to avoid the -1 mark: Double check whether question specifies haploid (1.1 m) or typical diploid mammalian cell (2.2 m)!
📖

Core NEET Syllabus Standard

Zoology · Molecular Basis of Inheritance Standard Benchmark
Core Scientific Principle Tested:

""

Syllabus Focus: Length of Human Diploid DNA Calculation: Total Base Pairs × Base-to-Base Distance
✓ Core NEET UG Syllabus Anchor Syllabus & Academic Standards ↗

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