Let `E=(-1me^(4))/(8epsilon_(0)^(2)n^(2)h^(2))` be the energy of the `n^(th)` level of H-atom state and radiation of frequency `(E_(2)-E_(1))//h` falls on it ,
Let `E=(-1me^(4))/(8epsilon_(0)^(2)n^(2)h^(2))` be the energy of the `n^(th)` level of H-atom state and radiation of frequency `(E_(2)-E_(1))//h` falls on it ,
A
it will not be absorbed at all
B
some of atoms will move to the first excited state
C
all atoms will be excited to the n=2 state
D
no atoms will make a transition to the n=3 state
Text Solution
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The correct Answer is:
B, D
Here, `E_(n)=(me^(4))/(8epsilon_(0)^(2)n^(2)h^(2))`
Is the energy of nth level of hydrogen atom. If all the H-atom are in ground state, (n=1), then the radiation of frequency `(E_(2)-E_(1))//h` falling on it may not be absorbed by some of the atoms and move them to the first excited state (n=2). All atoms may not be excited to n=2 state. Further, as `(E_(2)-E_(1))//h` is sufficient only to take the atom form n=1 state to n=2 state, no atoms shall make a transition to n=3 state. Choices (b) and (d) are correct.
Is the energy of nth level of hydrogen atom. If all the H-atom are in ground state, (n=1), then the radiation of frequency `(E_(2)-E_(1))//h` falling on it may not be absorbed by some of the atoms and move them to the first excited state (n=2). All atoms may not be excited to n=2 state. Further, as `(E_(2)-E_(1))//h` is sufficient only to take the atom form n=1 state to n=2 state, no atoms shall make a transition to n=3 state. Choices (b) and (d) are correct.
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Knowledge Check
Let E_n=-me^4/(8 epsilon^2n^2h^2) be the energy of nth level of H atom. if all the H atoms are in ground state and radiation of frequency E_2-E_1/h falls on it then It will not be absorbed at all SOme of atoms moves to first excited state. III all atoms will be excited to n=2 state. IV no atom makes a transition to the n=3 state. possible option is/are
Let E_n=-me^4/(8 epsilon^2n^2h^2) be the energy of nth level of H atom. if all the H atoms are in ground state and radiation of frequency E_2-E_1/h falls on it then It will not be absorbed at all SOme of atoms moves to first excited state. III all atoms will be excited to n=2 state. IV no atom makes a transition to the n=3 state. possible option is/are
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What is the maximum degeneracy of a level of H-atom, where e^(-) has energy, E_(n) =- (Rhc)/(9) ?
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A
1
B
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C
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D
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The binding energy of a H-atom, considering an electron moving around a fixed nuclei (proton), is B=-(me^(4))/(8n^(2)epsilon_(0)^(2)h^(2)) (m=electron mass). If one decided to works in a frame of reference where the electron is rest, the proton would be moving around it. By similar arguments, the binding energy would be B=-(Me^(4))/(8n^(2)epsilon_(0)^(2)h^(2)) (M=proton mass) This last expression is not correct because
A
n would not be integral
B
Bohr-quantisation applies only to electron
C
the frame in which the electrons is at rest is not inertial
D
the motion of the proton would not be in circular orbits, even approximately.
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