The half life of a radioactive nucleus is 50 days. The time invertal (t₂ $$-$$ t₁) between the time t₂ when $${2 \over 3}$$ of it has decayed and the time t₁ when $${1 \over 3}$$ of it had decayed is

A mixture consists of two radioactive materials A₁ and A₂ with half lives of 20 s and 10 s respectively. Initially the mixture has 40 g of A₁ and 160 g of A₂. The amount of the two in the mixture will become equal after

An electron of a stationary hydrogen atom passes from the fifth energy level to the ground level. The velocity that the atom acquired as a result of photon emission will be

Electron in hydrogen atom first jumps from third excited state to second excited state and then from second excited to the first excited state. The ratio of the wavelengths $$\lambda $$₁ : $$\lambda $$₂ emitted in the two cases is