The energy of an electron in the first Bohr orbit of hydrogen atom is . Its energy in the third Bohr orbit is _______

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Q.
The energy of an electron in the first Bohr orbit of hydrogen atom is $- 2.18 \times 10^{- 18} J$ . Its energy in the third Bohr orbit is ________ . [2023]

1 Three times of this value

2 $\frac{1}{9} t h$ of this value

3 One third of this value

4 $\frac{1}{27}$ of this value

Ans.
(2)

${(E_{H})}_{n = 1} = - 2.18 \times 10^{- 18} J$

${(E_{H})}_{n th} = {(E_{H})}_{n = 1} \times \frac{1}{n^{2}}$

${(E_{H})}_{n = 3} = {(E_{H})}_{n = 1} \times \frac{1}{9}$

Solution

Q.
The energy of an electron in the first Bohr orbit of hydrogen atom is $- 2.18 \times 10^{- 18} J$ . Its energy in the third Bohr orbit is ________ . [2023]

1 Three times of this value

2 $\frac{1}{9} t h$ of this value

3 One third of this value

4 $\frac{1}{27}$ of this value

Ans.
(2)

${(E_{H})}_{n = 1} = - 2.18 \times 10^{- 18} J$

${(E_{H})}_{n th} = {(E_{H})}_{n = 1} \times \frac{1}{n^{2}}$

${(E_{H})}_{n = 3} = {(E_{H})}_{n = 1} \times \frac{1}{9}$

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Solution

Q. The energy of an electron in the first Bohr orbit of hydrogen atom is -2.18×10-18J. Its energy in the third Bohr orbit is ________ . [2023]

1 Three times of this value

2 19th of this value

3 One third of this value

4 127 of this value

Ans. (2) (EH)n=1=-2.18×10-18J (EH)nth=(EH)n=1×1n2 (EH)n=3=(EH)n=1×19

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Q.
The energy of an electron in the first Bohr orbit of hydrogen atom is $- 2.18 \times 10^{- 18} J$ . Its energy in the third Bohr orbit is ________ . [2023]

2 $\frac{1}{9} t h$ of this value

4 $\frac{1}{27}$ of this value

Ans.
(2)

${(E_{H})}_{n = 1} = - 2.18 \times 10^{- 18} J$

${(E_{H})}_{n th} = {(E_{H})}_{n = 1} \times \frac{1}{n^{2}}$

${(E_{H})}_{n = 3} = {(E_{H})}_{n = 1} \times \frac{1}{9}$