List all the important derivations from optics and nuclei from the point of board

Dear student

From optics given below are important derivations

Lensmaker’s formula
Refraction and dispersion of light through a prism 
Refractive Index of a Prism and Condition for Minimum Deviation
Young double slit experiment 
Diffraction using single slit 

From nuclei
Derivation of half life and mean life of radioactive sample

With regards