Question:

Km value is defined as?

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Set v = Vmax/2 in the Michaelis-Menten equation and Km equals that substrate concentration.
Updated On: Jun 24, 2026
  • Substrate concentration at Vmax/2
  • Substrate concentration of twice Vmax
  • Substrate concentration of thrice Vmax
  • Substrate concentration of one third Vmax
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The Correct Option is A

Solution and Explanation

Step 1: Km is the Michaelis constant from Michaelis-Menten enzyme kinetics, described by the equation \(v = \dfrac{V_{max}[S]}{K_m + [S]}\).

Step 2: By definition, Km is the substrate concentration at which the reaction velocity is half of the maximum, that is when \(v = V_{max}/2\). Substituting this into the equation gives \(K_m = [S]\) at that point.

Step 3: Km is therefore an indicator of enzyme affinity: a low Km means high affinity for the substrate, and a high Km means low affinity. The other options describe "twice", "thrice" or "one third" of Vmax, which have no kinetic definition and are simply incorrect.

Step 4: Hence Km is the substrate concentration at half-maximal velocity, Vmax/2, option (a).
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