Hydrogen atoms is a particular excited state 'n', when all returned to ground state, 6 different photons are emitted.Which of the followingis/are incorrect .

Hydrogen atoms is a particular excited state 'n', when all returned to

1.	Hydrogen atoms is a particular excited state 'n', when all returned to ground state, 6 different photons are emitted.Which of the followingis/are incorrect .
Answer» out of 6 different PHOTONS only2 photons have speed equal to that of visible light If highest energy photon emitted from the above sample is incident on the metal plate having work function 8 eV, KE of liberated photo-electron may be equal to or less than 4.75 eV Total number of radial nodes in all the orbitals of `n^(th)` shell is 14 Total number of angular nodes in all the orbitals in `(n-1)^(th)` shell is 13 Solution :number of photons emitted=6 So, `(n(n-1))/2=6, n=4` excited state is `3^(rd)` or n=4 photon having highest energy will ge `4to1` So, its energy will be `=13.6(1/1^2-1/4^2)=13.6xx15/16=12.75` when it is incident on plate having work function 8 eV then KE=12.75-8=4.75 KE will be equal to this VALUE or may be less if electron is inner electron.So OPTION (B) is correct.Option (A) is incorrect because all photon have equal velocitywhich is `3xx10^8m//s` ( C),(D) also incorrect because number of nodes in `n^(th)` & `(n-1)^(th)` shall are 6(Radial node) & 3 (Angular node) RESPECTIVELY.