Atoms MCQs for NEET — Physics Questions with Answers

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Frequency of the series limit of Balmer series of hydrogen atom in terms of Rydberg constant R and velocity of light C is:

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Explanation

1λ=R1n12-1n22; C=cλ, 1λ=νCνC=R1n12-1n22; ν=CR1n12-1n22

For series limit n, Balmer series n1=2, n2=

ν=RC122-12=RC4

Orbital acceleration of electron is 

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Explanation

mνr=nh2πν=nh2πmrν2r=n2h24π2m2r3

Consider the spectral line resulting from transition n = 2 to n = 1 in the atoms and ions given below.  The shorterst wavelength is given by

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Explanation

1λ=Z2me48ε02Ch31n12-1n22

Hydrogen atom Z = 1

Deutron Z = 1

Singly ionised He , Z = 2

Doubly ionised Li , Z = 3         (Gives shortest λ)

Light is a kind of wave. The wavelength of visible light ranges from about 4000 A to 7000 A. Which of the following statements is false?

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Explanation

Visible light has wavelength ranging from 4000 A to 7000 A from violet to red, λ red > λ violet. Ultraviolet has shorter wavelength than violet (4000 A). Infra red has longer wavelength than red (7000 A). Therefore, choice D is correct, which is a false statement.

An α-particle of energy 5 MeV is scattered through 180° by a fixed uranium nucleus. The distance of closest approach is of the order

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Explanation

If r0 is or distance of closest approach, 

KE=PEE=12mv2=(Ze) (2e)4πε0rr=(Ze)2e4πε0E=9×109×92×1.6×10-19×2×1.6×10-195×106×1.6×10-1910-14 m

As per Bohr model, the minimum energy (in eV) required to remove the electron from the ground state of double ionized lithium (Z=3) is 

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Explanation

Ionisation energy = Z2 Rhc 1(1)2-1()2

 =Z2Rhc=(3)2×13.6 eV=122.4 eV

According to Bohr's theory the moment of momentum of an electron revolving in second orbit of hydrogen atom will be [MP PET 1999; KCET 2003; VITEEE 2006]

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Explanation

Angular momentum L=nh2π

For this case n = 2, hence L=2×h2π=hπ

The ionisation energy of hydrogen atom is 13.6 eV. Following Bohr's theory, the energy corresponging to a transition between 3rd and 4th orbit is   [1992]

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Explanation

Total energy of electron for hydrogen like atom is given by

En=-13.6 Z2n2E3=-13.632eV [Z=1, n=3]=-1.51 eVE4=-13.642=-0.85 eVE4-E3=1.51-0.85=0.66 eV

The ratio of the energies of the hydrogen atom in its first to second excited states is

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Explanation

En=-13.6n2eVFor first excited state, n=2E2=-13.622eVFor second excited state, n=3E3=-13.632eVE2E3=94

Energy levels A, B, C of a certain atom correspond to increasing values of energy i.e. EA<EB<EC. If λ1, λ2, λ3 are the wavelengths of the radiation corresponding to the transitions C to B, B to A and C to A respectively, which of the following relation is correct?

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