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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3sc102

An enzyme obeys $v = V_{ma x} [S] / (K_{m} + [S])$ with $V_{ma x} = 100 μ M mi n^{- 1}$ and $K_{m} = 5.0 mM$ . Select all correct statements.

AAt $[S] = 5.0 mM$ , $v = 50 μ M mi n^{- 1}$ .
BAt $[S] = 15 mM$ , $v = 80 μ M mi n^{- 1}$ .
CAt $[S] = 45 mM$ , $v = 90 μ M mi n^{- 1}$ .
DAt $[S] = 10 mM$ , $v = 75 μ M mi n^{- 1}$ .

Answer: A, C

Substituting:

v (5) = 100 \times 5/10 = 50

(true);

v (15) = 1500/20 = 75

, not 80 (false);

v (45) = 4500/50 = 90

(true);

v (10) = 1000/15 = 66.7

, not 75 (false).

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