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Question: Meselson Stahl experiment is continued to 4th generation than ratio of DNA band in centrifugation tu...

Meselson Stahl experiment is continued to 4th generation than ratio of DNA band in centrifugation tube which has density N15^{15}N15^{15}: N14^{14}N15^{15}: N14^{14} : N14^{14} and percentage of N14^{14} N14^{14} :-

A

0:1:1, 87.5%

B

1:0:1, 12.5%

C

0:1:1, 12.5%

D

0:2:14, 87.5%

Answer

0:2:14, 87.5%

Explanation

Solution

The Meselson-Stahl experiment demonstrates the semi-conservative nature of DNA replication. We track the composition of DNA molecules through successive generations when bacteria initially grown in a heavy nitrogen (N15^{15}) medium are transferred to a light nitrogen (N14^{14}) medium.

  1. Generation 0 (Parental): All DNA is N15^{15}N15^{15} (heavy).

    • Number of DNA molecules: 1
    • Composition: 1 N15^{15}N15^{15}
  2. Generation 1 (after one replication in N14^{14} medium): Each N15^{15}N15^{15} molecule unwinds, and each N15^{15} strand serves as a template for a new N14^{14} strand.

    • Number of DNA molecules: 2 (212^1)
    • Composition: 2 N14^{14}N15^{15} (hybrid)
    • Ratio N15^{15}N15^{15} : N14^{14}N15^{15} : N14^{14}N14^{14} = 0 : 2 : 0
  3. Generation 2 (after second replication in N14^{14} medium): Each of the two N14^{14}N15^{15} molecules replicates.

    • Each N14^{14}N15^{15} molecule produces one N14^{14}N15^{15} and one N14^{14}N14^{14}.
    • Number of DNA molecules: 4 (222^2)
    • Composition: 2 N14^{14}N15^{15} (hybrid) and 2 N14^{14}N14^{14} (light)
    • Ratio N15^{15}N15^{15} : N14^{14}N15^{15} : N14^{14}N14^{14} = 0 : 2 : 2
  4. Generation 3 (after third replication in N14^{14} medium): The 4 DNA molecules replicate.

    • The 2 N14^{14}N15^{15} molecules produce 2 N14^{14}N15^{15} and 2 N14^{14}N14^{14}.
    • The 2 N14^{14}N14^{14} molecules produce 4 N14^{14}N14^{14}.
    • Number of DNA molecules: 8 (232^3)
    • Composition: 2 N14^{14}N15^{15} (hybrid) and (2+4) = 6 N14^{14}N14^{14} (light)
    • Ratio N15^{15}N15^{15} : N14^{14}N15^{15} : N14^{14}N14^{14} = 0 : 2 : 6
  5. Generation 4 (after fourth replication in N14^{14} medium): The 8 DNA molecules replicate.

    • The 2 N14^{14}N15^{15} molecules produce 2 N14^{14}N15^{15} and 2 N14^{14}N14^{14}.
    • The 6 N14^{14}N14^{14} molecules produce 12 N14^{14}N14^{14}.
    • Number of DNA molecules: 16 (242^4)
    • Composition: 2 N14^{14}N15^{15} (hybrid) and (2+12) = 14 N14^{14}N14^{14} (light)
    • Ratio N15^{15}N15^{15} : N14^{14}N15^{15} : N14^{14}N14^{14} = 0 : 2 : 14

Now, calculate the percentage of N14^{14}N14^{14} DNA:

Percentage N14^{14}N14^{14} = (Number of N14^{14}N14^{14} molecules / Total number of DNA molecules) ×\times 100

Percentage N14^{14}N14^{14} = (14 / 16) ×\times 100 = (7 / 8) ×\times 100 = 0.875 ×\times 100 = 87.5%

Thus, the ratio of DNA bands N15^{15}N15^{15}: N14^{14}N15^{15}: N14^{14}N14^{14} is 0:2:14, and the percentage of N14^{14}N14^{14} is 87.5%.