Radioactive Decay Calculator

Act as an IB Physics tutor. Help me solve this radioactive decay problem: **Decay equation:** $N = N_0 e^{-\lambda t}$ Where: - $N$ = number of nuclei remaining - $N_0$ = initial number of nuclei - $\lambda$ = decay constant - $t$ = time elapsed **Half-life:** $t_{1/2} = \frac{\ln(2)}{\lambda} = \frac{0.693}{\lambda}$ **Alternative form:** $N = N_0 \left(\frac{1}{2}\right)^{t/t_{1/2}}$ **Activity:** $A = \lambda N$ (decays per second, in Becquerels) **Problem-solving steps:** 1. Identify given values (N₀, t, half-life, or λ) 2. If given half-life, find λ: $\lambda = \frac{0.693}{t_{1/2}}$ 3. Choose appropriate equation 4. Substitute and solve 5. Check: Does final amount make sense? (Should decrease) **IB Tip:** State your equation clearly before substituting values **My problem:** [PASTE RADIOACTIVE DECAY PROBLEM]