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Q.

Consider Bohr’s model of a one-electron atom where the electron moves around the nucleus. In the following

 List – I include some quantities for the nth Orbit of the atom and List – II contains options showing how they depend on 'n'

 List –I List - II
I)Radius of the nth orbit P)α n2
II)Angular momentum of the electron in the nth orbit Q)α n1
III)Kinetic energy of the electron in the nth orbit R)α n0
IV)Potential energy of the electron in the nth orbit S)α n1
  T)α n2
  U)α n1/2

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a

I-P, II-T, III-S, IV-Q

b

I-T, II-S, III-P, IV-P

c

I-Q, II-R, III-P, IV-S

d

I-Q, II-P, III-T, IV-R

answer is D.

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Detailed Solution

 List –I List - II
I)Radius of the nth orbit T)α n2
II)Angular momentum of the electron in the nth orbit S)α n1
III)Kinetic energy of the electron in the nth orbit P)α n-2
IV)Potential energy of the electron in the nth orbit P)α n-2

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Consider Bohr’s model of a one-electron atom where the electron moves around the nucleus. In the following List – I include some quantities for the nth Orbit of the atom and List – II contains options showing how they depend on 'n' List –I List - III)Radius of the nth orbit P)α n−2II)Angular momentum of the electron in the nth orbit Q)α n−1III)Kinetic energy of the electron in the nth orbit R)α n0IV)Potential energy of the electron in the nth orbit S)α n1  T)α n2  U)α n1/2