Question

Assertion :The plots of $log{t}_{1/2}vs.log[A{]}_0$ gives a straight line with slope (1-n). Reason: $t_{1/2}\propto [A{]}_0^{1-n}$

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is incorrect but Reason is correct

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

Option (A) is correct.
The equation for half life is
$log{t}_{1/2}=log\left[\frac{2^{n-1}-1}{K(n-1)}\right]+(1-n)log[A{]}_0$
From the equation, it is clear that the slope will be equal to $(1-n)$.