Imagine an atom made up of a proton and a bypothetical particle of double the mass of the electron but having the same charge as the electron . Apply the Bohr atom model and consider all possible transitions of this bypothrtical particle that will be emited level . The longest wavwlength photon that will be emidet has longest wavwlength `lambda` (given in terms of the bytherg constant `R` for the hydrogen aton) equal to
A
`9(5R)`
B
`36//(5R)`
C
`18//(5R)`
D
`4//(5R)`
Text Solution
Verified by Experts
The correct Answer is:
C
KEY CONCEPT : `lambda prop (1)/(m)` For ordinary hydrogen atom, wavwlength `(1)/(lambda) = R [(1)/(2^(2)) - (1)/(2^(2))] = (5 R)/(36) ` or `lambda(36)/(5R)` with hypothencal particle , required wavwlength `lambda^(1) = (1)/(2) xx (36)/(5R) = (18)/(5R)`
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