Home Physics Atomic and Nuclear Physics Matching Type Question Ground state energy of hydrogen atom is . M…
Physics Atomic and Nuclear Physics Matching Type Question MCQ (Single Correct)

Ground state energy of hydrogen atom is . Match the following two columns.

Column I

Column II

(A)

Electrostatic potential energy in ground state of hydrogen atom

(I)

 

(B)

Total energy in first excited state of ion

(II)

(C)

Kinetic energy of electron in first excited state of ion

(III)

(D)

Kinetic energy of electron in ground state of hydrogen atom

(IV)

Choose the correct answer from the options given below.

A
-(I), -(II), -(IV), -(III),
B
-(II), -(IV), -(III), -(I),
C
-(III), -(III), -(I), -(II),
D
-(IV)
-(I)
-(II)
-(IV)

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Text Solution

Verified by Experts
The correct answer is:
D

Ground state energy = Total energy of atom

Hence, total energy of hydrogen atom is . Also potential energy is 2 times of total energy i.e. of hydrogen
Since

⇒ Total energy of first excited state of is .
Kinetic energy is half of -ve value of total energy i.e.
Kinetic energy of hydrogen atom will be

Hence, -(III), -(I), -(II), -(IV).

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