Question Detail

PHY 102 Test Compilation PHY 102 7 Objective Question

Question

Counting rate 8000 counts/s at t=0, 1000 counts/s after 10 minutes. Decay constant?
Options
A 0.280/min
B 2.08/min
C 0.208/min
Correct Answer
D 2.80/min
Correct Answer

Option C is the correct answer.

Detailed Explanation

A = A₀ e^{-λt} → 1000 = 8000 e^{-λ×10} → e^{-10λ} = 1/8 → -10λ = ln(1/8) = -2.079 → λ = 0.2079 min⁻¹.

Hint

λ = ln(A₀/A)/t.

Question Info