Answer:
option a
Explanation:
[tex]k_{cat}[/tex] is turnover number. The turnover number is defined as the number of chemical conversions by single enzymatic site per second.
K_m is Michaelis-Menten constant used in the study of kinetics of enzyme catalyzed reaction.
The relationship between Michaelis-Menten constant and turnover number is as follows:
[tex]v=k_{cat}[E_0]\frac{[S]}{K_m+[S]}[/tex]
Here, [S] is substrate concentration, E0 is the initial enzyme concentration and v is the rate of enzyme catalyzed reaction.
Turn over no. ([tex]k_{cat}[/tex]) is present in nominator while K_m is present in denominator. Therefore for lowest catalytic efficiency, turnover ( [tex]k_{cat}[/tex]) should be low and Michaelis-Menten constant (K_m) should be high.
Therefore, among, given option a is correct.