The energy of an electron in nth orbit of the hydrogen atom is given by En = -(13.6/n2) eV. The energy required to raise an electron from the first orbit to the second orbit will be

Question

The energy of an electron in nth orbit of the hydrogen atom is given by En = -(13.6/n2) eV. The energy required to raise an electron from the first orbit to the second orbit will be (A) 10.2 eV (B) 12.1 eV (C) 13.6 eV (D) 3.4 eV

Tardigrade Admin · Accepted Answer

E1 = - (13.6/12) = -13.6 eV E2 = - (13.6/22) = -3.4 eV E = E2 - E1 = -3.4 eV-(-13.6) eV =10.2 eV

Q. The energy of an electron in $n^{t h}$ orbit of the hydrogen atom is given by $E_{n} = - \frac{13.6}{n ^{2}} e V$ . The energy required to raise an electron from the first orbit to the second orbit will be

$10.2 e V$

$12.1 e V$

$13.6 e V$

$3.4 e V$

$E_{1} = - \frac{13.6}{1 ^{2}} = - 13.6 e V$
$E_{2} = - \frac{13.6}{2 ^{2}} = - 3.4 e V$
$E = E_{2} - E_{1} = - 3.4 e V - (- 13.6) e V$
$= 10.2 e V$

Q. The energy of an electron in nth orbit of the hydrogen atom is given by En​=−n213.6​eV. The energy required to raise an electron from the first orbit to the second orbit will be

10.2eV

12.1eV

13.6eV

3.4eV