Question

i. What is the wave number of an electron with shortest wavelength radiation in lyman spectrum of He+ ion?
ii. Calculate the wavelength of a tennis ball of mass 60 gm moving with a velocity of 10m per second.
iii. Calculate the energy of the third Bohr orbit of Li2+ ion. (in J/atom unit)

Answer 1

Explanation:

Shortest wavelength in He+   (Balmer series)

λHe1=RH(221−∞21)22

λHe1=4RH×4

λHe=RH1

RH1=λHe=x

Longest wavelength in Li+2 (paschene series)

λH1=RH32(321−421)

λLi1=RH(1447)

λ

Answer 2

Answer:

i.RH1=λHe=x

ii.λ

Explanation:

Shortest wavelength in He+   (Balmer series)

λHe1=RH(221−∞21)22

λHe1=4RH×4

λHe=RH1

RH1=λHe=x

Longest wavelength in Li+2 (paschene series)

λH1=RH32(321−421)

λLi1=RH(1447)

λ