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All questions of Structure of Atom for NEET Exam

Maximum number of electrons in a subshell with : l = 3 and n = 4 is : [2012]
  • a)
    14
  • b)
    16
  • c)
    10
  • d)
    12
Correct answer is option 'A'. Can you explain this answer?

Pooja Saha answered
(n = 4, l = 3) ⇒  4f subshell Since, maximum no. of electrons in a subshell = 2(2l + 1)
So, total no. of electron in 4f subshell = 2 (2 × 3 + 1) = 14 electrons.

The orientation of an atomic orbital is governed by [2006]
  • a)
    Spin quantum number
  • b)
    Magnetic quantum number
  • c)
    Principal quantum number
  • d)
    Azimuthal quantum number
Correct answer is option 'B'. Can you explain this answer?

Rhea Sarkar answered
Magnetic quantum no. represents the orientation of atomic orbitals in an atom. For example px, py & pz have orientation along X-axis, Y-axis & Z-axis

The ion that is isoelectronic with CO is [1997]
  • a)
    CN
  • b)
    O2+
  • c)
    O2
  • d)
    N2+
Correct answer is option 'A'. Can you explain this answer?

Moumita Khanna answered
We know that ions which have th e same number of electrons are called isoelectronic.
We also know that both CO and CNhave 14 electrons, therefore these are isoelectronic.

The energy of the second Bohr orbit of the hydrogen atom is -328 kJ mol-1; hence the energy of the fourth Bohr orbit would be: [2005]
  • a)
    -41 kJ mol-1
  • b)
    -82 kJ mol-1
  • c)
    -164 kJ mol-1
  • d)
    -1312 kJ mol-1
Correct answer is option 'B'. Can you explain this answer?

Rohan Nambiar answered
Explanation:

The energy of an electron in the nth orbit of a hydrogen atom is given by the formula:

E = -13.6/n^2 eV

Where E is the energy in electron volts and n is the principal quantum number.

To convert the energy from electron volts to kilojoules per mole, we can use the conversion factor:

1 eV = 96.485 kJ/mol

Step 1:
First, let's convert the given energy of the second Bohr orbit from kJ/mol to eV.

-328 kJ/mol * (1 eV / 96.485 kJ/mol) = -3.396 eV

Step 2:
Now, we can use the formula above to find the energy of the fourth Bohr orbit.

E = -13.6/n^2 eV

E = -13.6/4^2 eV

E = -13.6/16 eV

E = -0.85 eV

Step 3:
Finally, let's convert the energy of the fourth Bohr orbit from eV to kJ/mol.

-0.85 eV * (96.485 kJ/mol / 1 eV) = -82.12 kJ/mol

Therefore, the energy of the fourth Bohr orbit of the hydrogen atom is approximately -82 kJ/mol, which corresponds to option B.

Consider the following sets of quantum numbers:
Which of the following sets of quantum number is not possible? [2007]
  • a)
    (i), (ii), (iii) and (iv)
  • b)
    (ii), (iv) and (v)
  • c)
    (i) and (iii)
  • d)
    (ii), (iii) and (iv)
Correct answer is option 'B'. Can you explain this answer?

Arindam Khanna answered
(ii) is not possible for any value of n because l varies from 0 to (n – 1) thus for n = 2, l can be only 0, 1, 2. (iv) is not possible because for l = 0, m = 0. (v) is not possible because for l = 2, m varies from –2 to +2.

Uncertainty in position of an electron (mass = 9.1 × 10–28 g) moving with a velocity of 3 × 104 cm/s accurate upto 0.001% will be (use h/4π) in uncertainty expression where h  = 6.626 ×10–27 erg-second) [1995]
  • a)
    1.93 cm
  • b)
    3.84 cm
  • c)
    5.76 cm
  • d)
    7.68 cm
Correct answer is option 'A'. Can you explain this answer?

Pranav Datta answered
1. **Given data**
- Mass of electron (m) = 9.1 × 10^(-28) g
- Velocity of electron (v) = 3 × 10^4 cm/s
- Accuracy = 0.001%
- Planck's constant (h) = 6.626 × 10^(-27) erg-second
2. **Calculating uncertainty in position**
The uncertainty in position (∆x) can be calculated using the formula:
∆x = h / (4π * m * ∆v)
Where:
- h = Planck's constant
- m = mass of the electron
- ∆v = uncertainty in velocity
3. **Calculating uncertainty in velocity**
Uncertainty in velocity can be calculated as a percentage of the actual velocity:
∆v = (0.001/100) * v
∆v = 0.001 * 3 × 10^4
∆v = 30 cm/s
4. **Substitute values in the formula**
∆x = (6.626 × 10^(-27)) / (4π * 9.1 × 10^(-28) * 30)
∆x = 1.93 cm
5. Therefore, the uncertainty in the position of the electron moving with a velocity accurate up to 0.001% is 1.93 cm. Hence, option **A** is correct.

The electron was shown experimentally to have wave properties by [1994]
  • a)
    de Broglie
  • b)
    Davisson and Germer
  • c)
    N. Bohr
  • d)
    Schrodinger.
Correct answer is option 'B'. Can you explain this answer?

Wave nature of electr on was shown by Davisson and Germer. Davission and germer demonstrated the physical reality of the wave nature of electrons by showing that a beam of electrons could also diffracted by crystals just like light of x-rays.

The total number of atomic orbitals in fourth energy level of an atom is : [2011]
  • a)
    8
  • b)
    16
  • c)
    32
  • d)
    4
Correct answer is option 'B'. Can you explain this answer?

Dipika Das answered
Total no. of atomic orbital in a shell = n2.
Given n = 4; Hence number of atomic orbitals in 4th shell will be 16.

Wh ich of the followin g is not per missible arrangement of electrons in an atom? [2009]
  • a)
    n = 5, l = 3, m = 0, s = + 1/2
  • b)
    n = 3, l = 2, m = – 3, s = – 1/2
  • c)
    n = 3, l = 2, m = – 2, s = – 1/2
  • d)
    n = 4, l = 0, m = 0, s = – 1/2
Correct answer is option 'B'. Can you explain this answer?

Explanation:

Permissible arrangement of electrons in an atom:
- In an atom, the electrons are arranged in different energy levels represented by the principal quantum number (n).
- Each energy level can have sublevels represented by the azimuthal quantum number (l).
- The magnetic quantum number (m) specifies the orientation of the orbital in space.
- The spin quantum number (s) specifies the spin of the electron.

Analysis of the given options:
- Option a: n = 5, l = 3, m = 0, s = +1/2 - This is a permissible arrangement as it follows the rules of quantum numbers.
- Option b: n = 3, l = 2, m = -3, s = -1/2 - This arrangement is not permissible because the magnetic quantum number (m) cannot be greater than the azimuthal quantum number (l) in magnitude.
- Option c: n = 3, l = 2, m = -2, s = -1/2 - This is a permissible arrangement as it follows the rules of quantum numbers.
- Option d: n = 4, l = 0, m = 0, s = -1/2 - This is a permissible arrangement as it follows the rules of quantum numbers.
Therefore, the correct answer is option 'B' because the magnetic quantum number (m) is not valid for the given values of n and l.

The position of both , an electron and a helium atom is known within 1.0 nm. Further the momentum of the electron is known within 5.0 × 10–26 kg ms–1. The minimum uncertainty in the measurement of the momentum of the helium atom is [1998]
  • a)
    50 kg ms–1
  • b)
    80 kg ms–1
  • c)
    8.0 × 10–26 kg ms–1
  • d)
    5.0 × 10–26 kg ms–1
Correct answer is option 'D'. Can you explain this answer?

Chirag Mehta answered
Understanding Uncertainty Principle
The uncertainty principle, formulated by Heisenberg, states that the more precisely the position of a particle is known, the less precisely its momentum can be known, and vice versa. This is mathematically represented as:
Δx * Δp ≥ h / (4π)
Where:
- Δx is the uncertainty in position
- Δp is the uncertainty in momentum
- h is Planck's constant (approximately 6.63 × 10^-34 Js)
Given Information
- The position uncertainty (Δx) for both the electron and the helium atom is 1.0 nm (1.0 × 10^-9 m).
- The momentum uncertainty (Δp) for the electron is given as 5.0 × 10^-26 kg m/s.
Calculating Momentum Uncertainty for Helium Atom
1. Position Uncertainty: For helium, Δx = 1.0 × 10^-9 m.
2. Using the Uncertainty Principle:
To find the momentum uncertainty for helium (Δp_He), we will use the known Δp of the electron as a reference and scale it based on the mass difference.
3. Mass Consideration:
The mass of the helium atom is approximately four times that of an electron.
- Mass of electron (m_e) ≈ 9.11 × 10^-31 kg
- Mass of helium (m_He) ≈ 4 * m_e ≈ 3.64 × 10^-30 kg
4. Scaling Δp:
Since momentum uncertainty scales with mass, the uncertainty in momentum for helium can be approximately the same as that for the electron due to the similar Δx. Thus:
- Δp_He ≈ Δp_electron = 5.0 × 10^-26 kg m/s.
Conclusion
Therefore, the minimum uncertainty in the measurement of the momentum of the helium atom is the same as that of the electron, which is 5.0 × 10^-26 kg m/s. Hence, the correct answer is option 'D'.

If electron has spin quantum number  + 1/2 and a magnetic quantum number – 1, it cannot be present in [1994]
  • a)
    d-orbital
  • b)
    f-orbital
  • c)
    p-orbital
  • d)
    s-orbital.
Correct answer is option 'D'. Can you explain this answer?

Ashish Roy answered
The magnetic quantum number of an electron depends on its spin quantum number. For an electron with a spin quantum number of 1/2, the possible magnetic quantum numbers are +1/2 and -1/2. These values represent the two possible orientations of the electron's spin in a magnetic field.

If the energy of a photon is given as : = 3.03 × 10–19 J then, the wavelength (λ) of the photon is :
  • a)
    6.56 nm
  • b)
    65.6 nm [2000]
  • c)
    656 nm
  • d)
    0.656 nm
Correct answer is option 'C'. Can you explain this answer?

Shilpa Saha answered
Understanding Photon Energy and Wavelength
To find the wavelength (λ) of a photon given its energy, we can use the formula:
E = hc / λ
where:
- E is the energy of the photon (in joules)
- h is Planck's constant (6.626 × 10^(-34) J·s)
- c is the speed of light (3.00 × 10^8 m/s)
Steps to Calculate Wavelength
1. Rearranging the Formula
We can rearrange the formula to solve for wavelength:
λ = hc / E
2. Substituting Values
Given E = 3.03 × 10^(-19) J, we substitute the known values into the formula:
λ = (6.626 × 10^(-34) J·s * 3.00 × 10^8 m/s) / (3.03 × 10^(-19) J)
3. Calculating the Wavelength
Performing the calculation:
λ = (1.9878 × 10^(-25) J·m) / (3.03 × 10^(-19) J)
λ ≈ 6.56 × 10^(-7) m or 656 nm
Conclusion
The calculated wavelength of the photon is approximately 656 nm. This corresponds to the visible light spectrum, specifically in the red region. Therefore, the correct answer is option 'C' - 656 nm.

The Bohr orbit radius for the hydrogen atom (n = 1) is approximately 0.530 Å. The radius for the first excited state (n = 2) orbit is (in Å) [1998]
  • a)
    0.13
  • b)
    1.06
  • c)
    4.77
  • d)
    2.12
Correct answer is option 'D'. Can you explain this answer?

Shounak Nair answered
Given : Radius of hydrogen atom = 0.530 Å,
Number of excited state (n) = 2 and atomic number of hydrogen atom (Z) = 1. We know that the Bohr radius.
= 4 x 0.530 = 2.12 Å

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