CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Bohr's Model of Atom

The ionizatio...

Question

The ionization energy of a hydrogen-like ion $A$ is greater than that of another hydrogen-like ion $B$ . Let $u$ and $E$ represent the speed of the electron and energy of the atom respectively in the ground state. Then,

A

r_{A} > r_{B}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

u_{A} > u_{B}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

E_{A} > E_{B}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

L_{A} > L_{B}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $u_{A} > u_{B}$
We know
$E = - 13.6 \frac{Z^{2}}{n^{2}} e V$
So Ionization energy $= 13.6 \frac{Z^{2}}{n^{2}} e V$
given, $I E_{A} > I E_{B},$ so $E_{A} < E_{B}$
that means $Z_{A} > Z_{B}$
Now $u \propto \frac{Z}{n}$
$u_{A} > u_{B}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Ionization energy of a hydrogen-like ion A is greater than that of another hydrogen-like ion B. Let r, u, E and L represent the radius of the orbit, speed of the electron, energy of the atom and orbital angular momentum of the electron respectively. In ground state

(a) r_A > r_B
(b) u_A > u_B
(c) E_A > E_B
(d) L_A > L_B

Q. Ionization energy of a hydrogen-like ion

A

is greater than that of another hydrogen-like ion

B

r

u

E

L

represent the radius of the orbit, speed of the electron, energy of the atom and orbital angular momentum of the electron respectively. In ground state

Q. Consider two hydrogen like ions

A

B .

Ionization energy of

A

is greater than that of

B .

r, u, E

L

represent the radius of the orbit, speed of the electron, energy of the atom and orbital angular momentum of the electron respectively. In ground state-

Q. The third line of the Balmer series spectrum of a hydrogen-like ion of atomic number

Z

108.5 n m

. The binding energy of the electron in the ground state of these ions is

E_{B}

Q. The first excited energy of a He⁺ ion is the same as the ground state energy of hydrogen. Is it always true that one of the energies of any hydrogen-like ion will be the same as the ground state energy of a hydrogen atom?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Bohr's Model of Atom

CHEMISTRY

Watch in App

explore_more_icon

Explore more

Bohr's Model of Atom

Standard X Chemistry

Join BYJU'S Learning Program

CrossIcon