The relation between \(n_m \) (\(n_m \) = number of permissible values of magnetic quantum number (ml) for a given value of azimuthal quantum number (l) is: 

1. \(n_m = l+2\)
2. \(l = {\dfrac{n_m -1} 2}\)
3. \(l= 2n_m +1\)
4. \(n_m = 2l^2 + 1 \)
Subtopic:  Shell & Subshell |
 69%
From NCERT
NEET - 2023
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What is the maximum number of orbitals that can be identified with the following quantum numbers?
n = 3, l = 1, m = 0

1. 1 2. 2
3. 3 4. 4
Subtopic:  Quantum Numbers & Schrodinger Wave Equation |
 60%
From NCERT
AIPMT - 2014
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The energy of the photon with a frequency of 3 × 1015 Hz is:

1. 1.988 × 10-18 J
2. 1.588 × 10-18 J
3. 1.288 × 10-18 J
4. 2.988 × 10-18 J

Subtopic:  Electromagnetic Radiation |
 89%
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If radius of second Bohr orbit of the \(He^+\) ion is 105.8 pm, what is the radius of third Bohr orbit of \(Li^{2+}\) ion? 
1. 158.7 Å 2. 158.7 pm 
3. 15.87 pm  4. 1.587 pm
Subtopic:  Hydrogen Spectra |
 78%
From NCERT
NEET - 2022
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Based on equation E = –2.178 × 10–18J, Z2n2 certain conclusions are written. Which of them is not correct?

1. Larger the value of n, the larger the orbit radius.
2. Equation can be used to calculate the change in energy when the electron changes orbit.
3. For n = 1, the electron has a more negative energy than it does for n = 6 which means that the electron is more loosely bound in the smallest allowed orbit.
4. The negative sign in the equation simply means that the energy of the electron bound to the nucleus is lower than what it would be if the electrons were at an infinite distance from the nucleus.
Subtopic:  Bohr's Theory |
 67%
From NCERT
AIPMT - 2013
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How many electrons can fit in the subshell for which n = 3 and l = 1?
1. 2
2. 6
3. 10
4. 14

Subtopic:  AUFBAU Principle |
 76%
From NCERT
NEET - 2016
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When electromagnetic radiation of wavelength 300 nm falls on the surface of a metal, electrons are emitted with the kinetic energy of 1.68 × 105 J mol–1. The minimum energy needed to remove one mole of electron from the metal is: 

(h = 6.626 × 10–34 Js, c = 3 × 108 ms–1, NA = 6.022 × 1023 mol–1)

1.  2.31 × 106 J mol–1
2.  3.84 × 104 J mol–1
3.  3.84 × 10–19 J mol–1
4.  2.31 × 105 J mol–1
Subtopic:  Photo Electric Effect |
From NCERT
NEET - 2022
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Two electrons occupying the same orbital are distinguished by:

1. Magnetic quantum number
2. Azimuthal quantum number
3. Spin quantum number
4. Principal quantum number

Subtopic:  Quantum Numbers & Schrodinger Wave Equation |
 85%
From NCERT
NEET - 2016
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The incorrect statement among the following is:

1. Total orbital angular momentum of an electron in 's' orbital is equal to zero.
2. An orbital is designated by three quantum numbers, while an electron in an atom is designated by four quantum numbers.
3. The electronic configuration of N atom is 
4. The value of m for dz2 is zero.
Subtopic:  AUFBAU Principle |
 80%
From NCERT
NEET - 2018
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Which one of the following electrons in the ground state will have least amount of energy?

1. An electron in hydrogen atom.
2. An electron in 2p orbital of carbon atom.
3. The electron of copper atom present in 4s orbital.
4. The outermost electron in sodium atom.
Subtopic:  AUFBAU Principle |
 68%
From NCERT
NEET - 2022
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