Modern Physics

3 flashcards · Physics · by Dasp Parihar

1. Nucleus

   R=RoA13R = R_oA^{\frac{1}{3}}R=Ro​A31​ Ro=1.1×10−15R_o = 1.1\times 10^{-15}Ro​=1.1×10−15 m

2. Radioactive Decay

   dNdt=−λN\frac{dN}{dt} = -\lambda NdtdN​=−λN N=Noe−λ tN = N_oe^{-\lambda\,t}N=No​e−λt Half life t1/2=0.693λt_{1/2} = \frac{0.693}{\lambda}t1/2​=λ0.693​ Average life tavg=1λt_{avg} = \frac{1}{\lambda}tavg​=λ1​

3. Mass defect

   Δm=[Zmp+(A−Z)mn]−N\Delta m = [Zm_p + (A-Z)m_n] - NΔm=[Zmp​+(A−Z)mn​]−N Binding energy E=Δmc2E = \Delta mc^2E=Δmc2