Packed tight inside the viral capsid, the lambda phage DNA can be considered globular. What is its compact radius of gyration?

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∻Answer∻ ⚹ The compact radius of gyration of the lambda phage DNA is approximately 0.1 micrometers (µm). ⚹ ∻Solution∻ ‖ a ⋮ The radius of gyration ($R_g$) is a measure of the distribution of the components of an object around its center of mass. For a globular DNA molecule, it can be approximated using the formula: $R_g = \sqrt{\frac{N \cdot b^2}{6}}$, where $N$ is the number of base pairs and $b$ is the length of each base pair. ‖‖ b ⋮ For lambda phage DNA, $N \approx 48,500$ base pairs and $b \approx 0.34$ nanometers (nm). ‖‖ c ⋮ Substituting these values into the formula: $R_g = \sqrt{\frac{48,500 \cdot (0.34 imes 10^{-9})^2}{6}} \approx 0.1 \, \mu m$. ‖ ∻Key Concept∻ ⚹ Radius of gyration ⚹ ∻Explanation∻ ⚹ The radius of gyration is a measure of the compactness of a polymer, such as DNA, and is calculated based on the number of monomer units and their length. ⚹◊What is the formula for calculating the compact radius of gyration of a globular molecule like lambda phage DNA inside a viral capsid?⍭ Generate me a similar question◊

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