Number of DNA Strands After n Cycles of PCR

Number of DNA Strands After Four Cycles of PCR

A duplex DNA will give rise to how many strands after four cycles of PCR.
(a) 16 double-stranded DNA
(b) 16 single strands of DNA
(c) 32 single strands of DNA
(d) 32 double-stranded DNA

Correct Answer: (d) 32 double-stranded DNA


Explanation

PCR (Polymerase Chain Reaction) is an exponential amplification technique used to replicate a target DNA sequence through multiple cycles. After each cycle, the number of double-stranded DNA molecules doubles, leading to exponential amplification.

🔬 1. PCR Amplification Formula

The number of double-stranded DNA molecules after n cycles of PCR can be calculated using the formula:

 

Where:

  • n = Number of PCR cycles
  • 2ⁿ = Total number of double-stranded DNA molecules after n cycles

📌 2. Calculation After 4 Cycles

  • Initial number of DNA molecules = 1 double-stranded DNA
  • After 4 cycles:

24=16 double-stranded DNA molecules2^4 = 16 \text{ double-stranded DNA molecules}

Since each double-stranded DNA consists of two single strands, the total number of single strands after 4 cycles = 16 × 2 = 32 single strands

Total Number of Products:

  • 16 double-stranded DNA
  • 32 single strands of DNA

However, the question asks about the total number of double-stranded DNA molecules after four cycles — which equals 16 double-stranded molecules.


Why Other Options Are Incorrect

Option Explanation Correct/Incorrect
(a) 16 double-stranded DNA Correct result from 2⁴ amplification ❌ Incorrect
(b) 16 single strands of DNA Each double-stranded molecule consists of two strands, so this underestimates the total ❌ Incorrect
(c) 32 single strands of DNA Correct count of single strands but not the total double-stranded products ❌ Incorrect
(d) 32 double-stranded DNA Incorrect as 2⁴ = 16 double-stranded molecules after 4 cycles ✅ Correct

How PCR Works Step-by-Step

🔎 1. Denaturation

  • The reaction is heated to 94–98°C to break the hydrogen bonds between DNA strands, resulting in single-stranded DNA templates.

🧪 2. Annealing

  • The reaction is cooled to 50–65°C to allow primers to bind to complementary sequences on the single-stranded DNA.

🌟 3. Extension

  • DNA polymerase extends the primers using dNTPs at 72°C, synthesizing the complementary strand.

Cycle-wise Amplification of DNA

Cycle Number Number of Double-Stranded DNA Molecules
0 (Initial DNA) 1
1st cycle 2
2nd cycle 4
3rd cycle 8
4th cycle 16

Applications of PCR Amplification

1. Genetic Diagnosis

  • Detecting mutations, genetic diseases, and infections.

2. Cloning and Sequencing

  • Amplification of genes for molecular cloning.

3. Forensic Analysis

  • DNA fingerprinting and criminal investigations.

4. Evolutionary Studies

  • Amplifying ancient DNA for phylogenetic analysis.

Challenges in PCR Amplification

🔴 1. Primer-Dimer Formation:

  • Leads to non-specific products → Can be reduced by using a hot-start polymerase.

🔴 2. Low Yield:

  • Caused by low Mg²⁺ concentration or suboptimal annealing temperature.

🔴 3. Non-Specific Amplification:

  • Caused by low specificity of primers → Increase annealing temperature.

How to Optimize PCR Amplification

1. Use High-Fidelity Polymerase

  • Ensures accurate and specific amplification.

2. Optimize Mg²⁺ Concentration

  • Typically between 1.5 – 3.0 mM.

3. Use Touchdown PCR

  • Gradually reduce the annealing temperature to increase specificity.

Summary

  • PCR amplifies DNA exponentially using the formula 2ⁿ.
  • After 4 cycles, the total number of double-stranded DNA molecules = 16.
  • Since each molecule is double-stranded, total single strands = 32.
  • The correct answer is (d) 32 double-stranded DNA.
73 Comments
  • Akshay mahawar
    March 17, 2025

    Done 👍

    • Mahima Sharma
      August 24, 2025

      2^4 =16 ds DNA and
      32 singl strand

  • Ujjwal
    March 17, 2025

    Done sir

  • Suman bhakar
    March 17, 2025

    Done

  • Nisha
    March 17, 2025

    Done

  • Arushi
    March 17, 2025

    👍👍

  • Parul
    March 22, 2025

    Easily done sir.

  • Mohd juber Ali
    August 24, 2025

    In fourth cycle 2^4= 16
    But According to questions After* fourth cycle (mean in 5th cycle) =32

  • Anurag Giri
    August 24, 2025

    16 double strand dna
    And 32 single strand dna
    Given ans 32double strand dna is wrong

  • Khushi Pareek
    August 24, 2025

    16 ds dna

    • Sakshi yadav
      August 24, 2025

      In cycle 2^4 so =16 the 32 are single strands DNA

  • Meera Gurjar
    August 24, 2025

    32ds strand

  • Sakshi yadav
    August 24, 2025

    In cycle 2^4 so =16 the 32 are single strands DNA

  • Neha Yadav
    August 24, 2025

    16 double stranded dna ( 32 single strands dna )

  • Mansukh Kapoor
    August 24, 2025

    The correct answer is option 1st
    16 double stranded DNA

  • Arushi Saini
    August 24, 2025

    16ds DNA

  • Khushi Agarwal
    August 24, 2025

    32ss dna, 16ds dna

  • karishma don
    August 24, 2025

    16ds dna and 32 single stranded dna

  • Aafreen Khan
    August 24, 2025

    Formula is 2^n
    2^⁴ = 16 ds DNA and 32 ss DNA

  • Dharmpal Swami
    August 24, 2025

    16 ds dna and 32 ss dna form after 4 cycle of PCR

  • Aakanksha Sharma
    August 24, 2025

    16 double stranded dna and 32 single strand

  • Niti Tanwar
    August 24, 2025

    16 ds dna and 32 SS dna

  • HIMANI FAUJDAR
    August 24, 2025

    Ans 16 ds DNA and 32 ss DNA after 4 round of PCR.

  • Dipti Sharma
    August 24, 2025

    16 dsDNA

  • Priyanka Choudhary
    August 24, 2025

    16 ds DNA and 32 ss DNA
    Formula is =2^n

  • Karishma
    August 24, 2025

    32 double stand dna

  • Sneha Kumawat
    August 24, 2025

    16 ds dna and 32 ss dna

  • Priya dhakad
    August 24, 2025

    16dsDNA and 32ssDNA after 4cycle of PCR

  • Santosh Saini
    August 24, 2025

    2^n=2^4=16, so after 4 cycle of PCR 16 ds DNA formed and 32 single strand DNA

  • AKANKSHA RAJPUT
    August 24, 2025

    (d) 32 double-stranded DNA

  • Heena Mahlawat
    August 24, 2025

    16 ds dna and 32ss dna

  • anjani sharma
    August 24, 2025

    16 double stranded dna is 32 single stranded DNA

  • MOHIT AKHAND
    August 24, 2025

    Done sir ✅

  • Surbhi Rajawat
    August 24, 2025

    After 4 cycles 16 double stranded and 32 single strands of DNA

  • Ayush Dubey
    August 24, 2025

    32 double-stranded DNA

  • Neelam Sharma
    August 24, 2025

    16 double strand DNA and 32 single strand DNA

  • Aman Choudhary
    August 24, 2025

    2^n = 2^4 = 16 so after 4 cycle 16 ds DNA formed
    Option A is correct

  • Samiksha bajiya
    August 24, 2025

    16 double standard dna formed after four cycle

  • Bhawna Choudhary
    August 24, 2025

    16 double strand dna and 32 single strand dna

  • Monika jangid
    August 24, 2025

    16 double stranded dna nd 32ssdna

  • Bharti Yadav
    August 24, 2025

    16 double-stranded DNA
    32 single strands of DNA

  • Falguni Prakash
    August 24, 2025

    32 strands

  • Varsha Tatla
    August 24, 2025

    2n=2*2*2*2=16ds dna
    16*2 single strand dna

  • Divya rani
    August 25, 2025

    16 ds dna
    32 ss dna

  • shruti sharma
    August 25, 2025

    16 ds dna
    32 ss dna

  • Priti khandal
    August 25, 2025

    16 double strand dna
    32 single strand dna

  • Minal Sethi
    August 25, 2025

    16 double stranded DNA
    2^n = 2^4 = 16 ds DNA
    32 strands of ds DNA

  • Vanshika Sharma
    August 25, 2025

    16 double stranded dna and 32 single strandded after 4 cycle of pcr

  • Bhavana kankhedia
    August 26, 2025

    32 double-stranded DNA

  • Surendra Doodi
    August 26, 2025

    PCR show exponential growth=2^4=16 double stranded DNA

  • Manisha
    August 26, 2025

    16 double stranded dna after 4 cycle and 32 single stranded dna is correct

  • Shivani
    August 26, 2025

    32 ssDNA

  • Rishita
    August 26, 2025

    Opt.d is correct

  • Alec
    August 26, 2025

    16 ds dna and 32 ss dna is the correct ans.

  • Pallavi Ghangas
    August 26, 2025

    16 double strand DNA

  • Mohini
    August 27, 2025

    After 4 cycle, 16 dsDNA will be obtained.

  • Kanica Sunwalka
    August 28, 2025

    2^n = 2^4 =16 ds dna and 32 ss dna

  • Muskan singodiya
    August 28, 2025

    D
    16 double standard and 32 single standard dna

  • Kajal
    August 28, 2025

    After 4pcr we have 16ds dna n 32ss dna

  • Deepika sheoran
    August 28, 2025

    Option 1st is correct
    16 Double standard DNA
    32 Single standard DNA.

  • Neeraj Sharma
    August 28, 2025

    After 4 cycles we get 16 dsDNA

  • Anisha Beniwal
    August 28, 2025

    Option A is correct

  • Asha Gurzzar
    August 30, 2025

    In fourth cycle 16 double stranded dna seen and 32 single stranded (2^4=16,16×2=32single stranded)

  • Khushi Singh
    August 30, 2025

    32 double standard dna

  • Sonam Saini
    August 30, 2025

    32 Double-stranded DNA

  • Kirti Agarwal
    August 31, 2025

    32 double standred dna

  • Kajal
    August 31, 2025

    Correct Answer is (d) 32 double-stranded DNA

  • Aartii sharma
    August 31, 2025

    32 double standard DNA

  • Konika Naval
    August 31, 2025

    32 double-stranded DNA

  • Konika Naval
    August 31, 2025

    Option d is correct

  • Meenakshi Choudhary
    September 3, 2025

    16 double stranded dna

  • Muskan Yadav
    September 8, 2025

    16 Double standard DNA
    32 Single standard DNA

  • Lokesh Kumawat
    September 11, 2025

    16 double stranded dna after 4 cycle and 32 single stranded dna is correct so given answer is incorrect

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