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Which of the following transitions in a hydrogenatom emits the photon of highest frequency?         [2000]
  • a)
    n = 2 to n = 1
  • b)
    n = 2 to n = 6
  • c)
    n = 6 to n = 2
  • d)
    n = 1 to n = 2
Correct answer is option 'A'. Can you explain this answer?

Naveen Menon answered
Frequency, 
Note : See the greatest energy difference and
also see that the transition is from higher to
lower energy level. Hence, it is highest in
case of n = 2 to n = 1.

The spectrum obtained from a sodium vapourlamp is an example of [1995]
  • a)
    band spectrum
  • b)
    continuous spectrum
  • c)
    emission spectrum
  • d)
    absorption spectrum
Correct answer is option 'C'. Can you explain this answer?

Aniket Chawla answered
A spectrum is observed, when light coming
directly from a source is examined with a
spectroscope. Therefore spectrum obtained
from a sodium vapour lamp is emission
spectrum.

When a hydrogen atom is raised from the groundstate to an excited state, [1995]
  • a)
    P.E decreases and K.E. increases
  • b)
    P.E. increases and K.E decreases
  • c)
    both K.E. and P.E. decrease
  • d)
    absorption spectrum
Correct answer is option 'B'. Can you explain this answer?

Arnav Iyer answered
 and   where,
r is the radius of orbit which increases as we
move from ground to an excited state.
Therefore, when a hydrogen atom is raised
from the ground state, it increases the value
of r. As a result of this, P.E. increases
(decreases in negative) and K.E. decreases.

Ionization potential of hydrogen atom is 13.6eV.Hydrogen atoms in the ground state are excitedby monochromatic radiation of photon energy12.1 eV. According to Bohr’s theory, the spectrallines emitted by hydrogen will be [2006]
  • a)
    three
  • b)
    Four
  • c)
    One
  • d)
    Two
Correct answer is option 'A'. Can you explain this answer?

Energy of ground state 13.6 eV
Energy of first excited state
Energy of second excited state
Difference between ground state and 2nd
excited state = 13.6 – 1.5 = 12.1 eV
So, electron can be excited upto 3rd orbit
No. of possible transition
1 → 2, 1 → 3, 2 → 3
So, three lines are possible

The ionization energy of the electron in thehydrogen atom in its ground state is 13.6 eV.The atoms are excited to higher energy levels toemit radiations of 6 wavelengths. Maximumwavelength of emitted radiation corresponds tothe transition between [2009]
  • a)
    n = 3 to n = 1 states
  • b)
    n = 2 to n = 1 states
  • c)
    n = 4 to n = 3 states
  • d)
    n = 3 to n = 2 states
Correct answer is option 'C'. Can you explain this answer?

Srishti Chavan answered
Explanation:
When hydrogen atoms are excited to higher energy levels, they release energy in the form of photons. The energy of a photon is given by the equation:

E = hc/λ

where E is the energy of the photon, h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon.

The maximum wavelength of the emitted radiation corresponds to the transition that releases the least amount of energy. This occurs when the electron transitions from a higher energy level to the ground state.

To determine which transition corresponds to the maximum wavelength of the emitted radiation, we can use the equation:

ΔE = -Rh/n^2f + Rh/n^2i

where ΔE is the energy released during the transition, Rh is the Rydberg constant (2.18 x 10^-18 J), nif is the initial energy level, and nf is the final energy level.

We want to find the transition that releases the least amount of energy, which corresponds to the maximum wavelength of the emitted radiation. This occurs when nf is as large as possible and nif is as small as possible.

Using this approach, we find that the transition between n = 4 and n = 3 states releases the least amount of energy, and therefore corresponds to the maximum wavelength of the emitted radiation. The correct answer is option C.

When hydrogen atom is in its first excited level,its radius is      [1997]
  • a)
    four times its ground state radius
  • b)
    twice
  • c)
    same
  • d)
    half
Correct answer is option 'A'. Can you explain this answer?

Shruti Chauhan answered
Radius in ground state = 
Radius in first excited state = 
(∵ n =2)
Hence, radius of first excited state is four
times the radius in ground state.

Who indirectly determined the mass of theelectron by measuring the charge of the electron?     [2000]
  • a)
    Thomson
  • b)
    Rutherford
  • c)
    Einstein
  • d)
    Millikan
Correct answer is option 'D'. Can you explain this answer?

Snehal Iyer answered
Correct Answer :- D
Explanation : The mass of the electron is discovered by  the Millikan by the oil drop experiment.
E = mg
=> qE = mg
q/m = g/E
Therefore, charge was quantised.

The ground state energy of hydrogen atom is 13.6eV. When its electron is in the first excited state, its excitation energy is [2008]
  • a)
    3.4 eV
  • b)
    6.8 eV
  • c)
    10.2 eV
  • d)
    0
Correct answer is option 'C'. Can you explain this answer?

Raghav Khanna answered
When the electron is in first excited state
(n = 2), the excitation energy is given by
ΔE = E2 – E1
Given E1 = –13.6eV
∴Δ E = ( – 3.4) – ( – 13.6) = 10.2 eV.

An alpha nucleus of energy 1/2mv2  bombards a heavy nuclear target of charge Ze. Then the distance of closest approach for the alpha nucleus will be proportional to [2010]
  • a)
    1/Ze
  • b)
    v2
  • c)
    1/m
  • d)
    1/v4
Correct answer is option 'C'. Can you explain this answer?

Shanaya Rane answered
Kinetic energy of alpha nucleus is equall to
electrostatic potential energy of the system
of the alpha particle and the heavy nucleus.
That is,
where r0 is the distance of closest approach
Hence, correct option is (c).

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