The activity of a radioactive sample is measured as 9750 counts per minute at t= 0 and as 975 counts per minute at t = 5 minutes. The decay constant is annmximately

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

0.230 per minute

0.461 per minute

0.691 per minute

0.922 per minute

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

$\begin{array}{l} A = A_{0} e^{- λt} \Rightarrow 975 = 9750 e^{- λ \times 5} \\ \Rightarrow e^{5 λ} = 10 \\ \Rightarrow 5 λ = \log_{e} 10 = 2 .3026 \log_{10} 10 . \\ = 2 .3026 \\ \Rightarrow λ = 0 .461 \end{array}$

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th