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The length of DNA in one chromosome is 5...

The length of DNA in one chromosome is `510 A^(@)`. It has `20%` of 6-aminopurines. The total number of nucleotides and hydrogen bonds in that chromosome respectively, are

A

300 & 390

B

150 & 390

C

150 & 190

D

120 & 156

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The correct Answer is:
To solve the problem, we need to calculate the total number of nucleotides and hydrogen bonds in a DNA chromosome that is 510 Å in length and contains 20% of 6-aminopurines (which is adenine). ### Step-by-Step Solution: 1. **Calculate the Total Number of Base Pairs:** - The length of the DNA is given as 510 Å. - The distance between two base pairs is 3.4 Å. - To find the total number of base pairs, we use the formula: \[ \text{Total Base Pairs} = \frac{\text{Length of DNA}}{\text{Distance between Base Pairs}} = \frac{510 \, \text{Å}}{3.4 \, \text{Å}} \approx 150 \, \text{base pairs} \] 2. **Calculate the Total Number of Nucleotides:** - Each base pair consists of two nucleotides. - Therefore, the total number of nucleotides is: \[ \text{Total Nucleotides} = 2 \times \text{Total Base Pairs} = 2 \times 150 = 300 \, \text{nucleotides} \] 3. **Determine the Composition of Nucleotides:** - It is given that 20% of the nucleotides are 6-aminopurines (adenine). - Therefore, the number of adenine (A) nucleotides is: \[ \text{Number of A} = 20\% \text{ of } 300 = 0.2 \times 300 = 60 \, \text{A} \] - Since adenine pairs with thymine (T), the number of thymine (T) nucleotides is also 60. 4. **Calculate the Remaining Nucleotides:** - The total number of nucleotides is 300, and we have 60 adenine and 60 thymine. - Therefore, the number of guanine (G) and cytosine (C) nucleotides can be calculated as: \[ \text{Number of G + C} = 300 - (60 + 60) = 300 - 120 = 180 \] - Since guanine pairs with cytosine, the number of guanine and cytosine nucleotides is equal: \[ \text{Number of G} = \text{Number of C} = \frac{180}{2} = 90 \] 5. **Calculate the Total Number of Hydrogen Bonds:** - Adenine and thymine form 2 hydrogen bonds each, and guanine and cytosine form 3 hydrogen bonds each. - The total number of hydrogen bonds is calculated as follows: \[ \text{Total Hydrogen Bonds} = (60 \times 2) + (90 \times 3) = 120 + 270 = 390 \] ### Final Answer: - The total number of nucleotides is **300**. - The total number of hydrogen bonds is **390**.
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AAKASH SERIES-BIOMOLECULES-EXERCISE - II (Nucleic acids)
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