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A H-like species emitted a photon corres...

A `H-`like species emitted a photon corresponding to the first line of Lyman series. The photon liberated a photoelectron from `He^(+)` ion in ground state. The de-brogile wavelength of the photoelectron is `2Å` . Select the correct statement (s).

A

Atomic number of `H-`like species is `2`.

B

Atomic number of `H-`like species is `3`.

C

Kinetic energy photonelectron is `27.5 eV`

D

Kinetic energy of photonelectron is `37.5 eV`

Text Solution

Verified by Experts

The correct Answer is:
B, D
`lambda_(A) = sqrt((150)/(V)) rArr 2 = sqrt((150)/(V))`
`V = 37.5 V`
`K.E.` of photoelectron `= 37.5 eV`
Amount of energy required to liberated electron `= 54.5 eV`
Total energy of photon `= 54.4 + 37.5 = 91.9 eV`
`91.9 = 13.6Z^(2)((1)/(1^(2)) - (1)/(2^(2)))` or `Z = 3`
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