JEE Main 2026 · 2 Apr · Shift 1 · Chemistry Q58

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ChemistrySingle correct+4 / -1Question 58 of 75

$t_{100\%}$ is the time required for the 100% completion of the reaction while $t_{1/2}$ is the time required for 50% of the reaction to be completed. Which of the following option correctly represents the relation between $t_{100\%}$ and $t_{1/2}$ for zero and first order reactions respectively ?

t_{100\%}=\left(t_{1/2}\right)^2

and

t_{100\%}=\left(t_{1/2}\right)^{-\infty}

t_{100\%}=2t_{1/2}

and

t_{100\%}=\left(t_{1/2}\right)^{\infty}

t_{100\%}=2t_{1/2}

and

t_{100\%}=\left(2t_{1/2}\right)^2

t_{100\%}=\left(t_{1/2}\right)^{\infty}

and

t_{100\%}=2t_{1/2}

Answer and worked solution

Official answer: B

Zero order. $[A]=[A]_0-kt$ , so $t_{100\%}=\frac{[A]_0}k=2t_{1/2}$ .

First order. $[A]=[A]_0e^{-kt}$ never reaches zero, so $t_{100\%}$ is infinite. Option (B) writes this as $(t_{1/2})^\infty$ .

(B)

Topics:Half-life Integrated rate equations

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JEE Main 2026 · 2 Apr · Shift 1, Chemistry question 58