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. \(l = {n_m -1 \over 2}\)
3. \(l= 2n_m +1\)
4. \(n_m = 2l^2 + 1 \)

Subtopic:  Shell & Subshell |
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Incorrect set of quantum numbers from the following is :

1. n=4,l=3, m1 =-3, -2, -1, 0, +1, +2, +3, ms=-1/2
2. n=5, l=2, m1 =-2, -1, +1, +2, ms=+1/2
3.  n=4, l=2, m1 = -2, -1, 0, +1, +2, ms=-1/2
4.  n=5,l=3, m1 =-3, -2, -1, 0, +1, +2, +3, ms=+1/2
Subtopic:  Quantum Numbers & Schrodinger Wave Equation |
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Given below are two statements: 
I: The value of wave function, \(\Psi\) depends upon the coordinates of the electron in the atom 
II: The probability of finding  an electron at a point within an atom is proportional to the orbital wave function 

In light of the above statements, choose the correct answer from the options given below: 

1. Statement I is true but Statement II is false. 
2. Statement I is false but Statement II is true. 
3. Both Statement I and Statement II are true. 
4. Both Statement I and Statement II are false.
Subtopic:  Quantum Numbers & Schrodinger Wave Equation |
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The first four electron energy levels of an atom are shown below, given in terms of electron volts. Which of the following gives the energy of a photon that could NOT be emitted by this atom?

   E4 = −18 eV
   E3 = −32 eV
   E2 = −72 eV
   E1 = −288 eV

1. 14 eV
2. 40 eV
3. 44 eV
4. 54 eV
Subtopic:  Photo Electric Effect |
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Match List I with List II
 
List I List II
Different regions of the spectrum Frequencies
I. Radiofrequency A. 106 Hz
II. Microwave B. 1013 Hz
III. Ultraviolet Region C. 1010 Hz
IV. Infra-red Region D. 1016 Hz

Choose the correct answer from the options given below: 

1. I-B; II-A; III-C; IV-D
2. I-A; II-C; III-D; IV-B
3. I-D; II-B; III-A; IV-C
4. I-B; II-C; III-D; IV-A

Subtopic:  Electromagnetic Radiation |
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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 |
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Match List-I with List-II:
List-I
(quantum number)
List-II
(Orbital)
(A) n = 2, \(\ell\) = 1 (I) 2s
(B) n = 3, \(\ell\) = 2 (II) 3s
(C) n = 3, \(\ell\) = 0 (III) 2p
(D) n = 2, \(\ell\) = 0 (IV) 3d

Choose the correct answer from the options given below:
 
(A) (B) (C) (D)
1. (III) (IV) (I) (II)
2. (IV) (III) (I) (II)
3. (IV) (III) (II) (I)
4. (III) (IV) (II) (I)
Subtopic:  Shell & Subshell |
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A monochromatic infrared range finder of power 1milli watt emits photons with wavelength 1000 nm in 0.1 second. The number of photons emitted in 0.1 second is:
(Given: h = \(6.626 \times 10^{-34} J~s\) , c = \(3 \times 10^8 m~s^{-1}, \) Avogadro number = \(6.022 \times 10^{23}\))

1. \(30 \times 10^{37}\)
2. \(5 \times 10^{14} \)
3. \(30 \times 10^{34} \)
4. \(5 \times 10^{11} \)

Subtopic:  Electromagnetic Radiation |
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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 |
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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 |
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