Question

What is the ratio of V0/Vmax when [S] = 10Km?

(a) 1/2

(b) 10/11

(c) 4/5

(d) 5/6

This question was addressed to me by my college professor while I was bunking the class.

Origin of the question is Kinetics of Enzyme Catalysed Reaction topic in portion Enzyme Kinetics of Enzyme Technology

Answer 1

Correct answer is (b) 10/11

Explanation: Miachelis Menten equation is given by \(V_0=\frac{V_{max} [S]}{K_m+[S]}\)

Rearranging, \(\frac{V_0}{V_{max}} = \frac{[S]}{[S]+K_m}\)

\(\frac{V_0}{V_{max}} = \frac{10K_m}{10K_m+K_m}\)

\(\frac{V_0}{V_{max}} = \frac{10 K_m}{11 K_m}\)

\(\frac{V_0}{V_{max}} = \frac{10}{11}\)