Step 1: Calculate the amount of plasmid required.
The size of the 3 kb fragment is 3 kb, and we need to obtain 500 ng of this fragment. The plasmid is digested into fragments of sizes 7 kb, 3 kb, and 2 kb, so the total size of the plasmid is 12 kb (7 + 3 + 2 kb).
Step 2: Find the fraction of the 3 kb fragment.
The fraction of the 3 kb fragment is:
\[
\frac{3 \, \text{kb}}{12 \, \text{kb}} = \frac{1}{4}.
\]
Step 3: Use the fraction to calculate the total amount of plasmid.
To obtain 500 ng of the 3 kb fragment, the total amount of plasmid required is:
\[
\text{Amount of plasmid} = \frac{500 \, \text{ng}}{1/4} = 2000 \, \text{ng} = 2 \, \mu\text{g}.
\]
Step 4: Adjust for the specific 3 kb fragment amount.
Since we only need 500 ng of the 3 kb fragment, we divide the total plasmid amount by the size of the fragment, resulting in 0.5 µg.
In the following figure, the radius of the circle circumscribing the regular hexagon is 2 cm. The area of the shaded region is ............ cm\(^2\) (round off to 2 decimal places) 
Which of the following statements is/are TRUE for the function \( f(x) \) shown in the figure given below? 
In an experiment to examine the role of exopolymetric substances (EPS) on bacterial growth, a wild-type strain (S⁺) and a mutant strain deficient in EPS production (S⁻) were grown in monocultures as well as in co-culture (in equal proportion of S⁺ and S⁻). The CFU (colony forming units) of these cultures measured after 24 hours are shown in the following figure. 
Which one of the following phenomena best describes the interaction between the wild-type strain (S⁺) and mutant strain (S⁻)?
Match the diseases in Group A with their corresponding causative microorganisms in Group B 
Match the metabolic pathways in Group A with corresponding enzymes in Group B 