AP EAMCET · PHYSICS · Nuclear Physics
The half life of a stream of radioactive particles moving along a straight path with a constant kinetic energy of \(4 \mathrm{eV}\) is 1 minute. The percentage of particles which decay before travelling a distance of \(3.6 \mathrm{~km}\) is (Mass of the radioactive particles \(=3.2 \times 10^{-21} \mathrm{~kg}\) and charge of the electron \(=1.6 \times 10^{-19} \mathrm{C}\) ).
- A 87.5
- B 175
- C 37.5
- D 75
Answer & Solution
Correct Answer
(A) 87.5
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text {As, } K . E .=\frac{1}{2} m v^2 \Rightarrow \mathrm{V}=\sqrt{\frac{2 \times K . E .}{m}} \\ & \Rightarrow \mathrm{V}=\sqrt{\frac{2 \times 4 \times 16 \times 10^{-19}}{32 \times 10^{-21}}}=\sqrt{\frac{2 \times 4}{2 \times 10^{-2}}} \\ & \Rightarrow…
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