Question 1 The Schrödinger wave equation for hydrogen atom is

Ψ_2s = 1/ 4√2Π (α₀)^3/2(2-r/α₀)^e-r/α₀

Where α₀ is Bohr's radius. If the radical node is 2s be at r₀, then what will be the value of r₀ in terms of α₀?

Question 2 if λ₀ and λ be the threshold wavelength and wavelength of incident light, the velocity of photo-electrons eject form the metal surface is ‘v'. Calculate ‘v' in terms of λ₀, λ, m.

Question 3 The subshell that arises after f is called the g subshell. How many electrons may occupy the g subshell?

Question 4 Consider the argon atom. How many electrons does this atom have m_l=1

Question 5 how many electrons can be accommodated by subshell n =5, l =3?

Question 6 what is the orbital angular momentum of 3p electrons?

Question 7 A dye absorbs a photon of wavelength λ and re- emits the same energy into two photons of wavelength λ₁ and λ₂ respectively. How wavelength λ is related with λ₁ and λ₂.

Question 8 what is the maximum wavelength line in the Lyman series of the He+ ion?

Question 9 What is energy (KJ/mol) associated with the de-excitation of an electron from n = 6 to n =2  in He⁺ ion?

Question 10 Wavelength for high energy EMR transition in H^- atom is 91 mm. what energy is needed for this transition?

Question 11 the mass of a particle is 10^-10 g and its radius is 2 x 10^-4 cm. If its velocity is 10^-6 cm/s with 0.0001 % uncertainty in measurement. What is the uncertainty in its position?

Question 12 what is the potential energy of an electron present in N-shell of the Be³⁺ ion?

Question 13 The potential energy of an electron in the H^- atom is -6.8 ev. Indicate in which excited state, the electron is present?

Question 14 if radius of second stationary orbit (in bhor's atom) is R. what will be the radius of third orbit?

Question 15 what is the ratio of velocity of the electron in the third and fifth orbit of Li⁺² ?