The value of Planck's constant is 6.63 × 10^–34 J s. The velocity of light is 3.0 × 10⁸ m s^–1. The closest value to the wavelength in nanometers of a quantum of light with a frequency of $8\times {10}^{15}$ ${\mathrm{s}}^{-1}$ is:

1. $2\times {10}^{-25}$

2. $5\times {10}^{-18}$

3. $4\times {10}^1$

4. $3\times {10}^7$

If the speed of light is 3.0 × 10⁸ m s⁻¹, how far does light travel in 2.00 nanoseconds?

1. 0.500 m

2. 0.600 m

3. 0.700 m

4. 0.800 m

Calculate the total mass and electric charge, respectively, of one mole of electrons.
1. 5.48 × ${10}^{-7}$ kg, 9.65 C
2. 5.48 × ${10}^{-7}$ C, 1.098 × 10²⁷
3. 5.48 × ${10}^{-7}$ kg, 9.65 × ${10}^4$ C
4. 9.65 × ${10}^4$ C, 1.098 × 10²⁷

Which value is indicated by the period number in the modern periodic table?

1. Atomic number

2. Atomic mass

3. Principal quantum number

4. Azimuthal quantum number.

The number of orbitals indicated by the following set of quantum numbers, n = 3, l = 2, m =+2 is:

1.  1

2.  2

3.  3

4.  4

Which of the following nuclei contains the maximum number of neutrons?
1. \(_8^{16}\mathrm{O}\)
2. \(_{12}^{24}\mathrm{Mg}\)
3.\(_{26}^{56}\mathrm{Fe}\)
4. \(_{38}^{88}\mathrm{Sr}\)

Which of the following correctly represents the complete atomic symbols of the elements having the given atomic numbers (Z) and mass numbers (A), respectively?

1.  ${}_4{}^9\mathrm{Be}$   ${}_{92}{}^{233}\mathrm{U}$     ${}_4{}^9\mathrm{Be}$

2.  ${}_{17}{}^{35}\mathrm{Cl}$    ${}_{92}{}^{233}\mathrm{U}$    ${}_4{}^9\mathrm{Be}$

3.  ${}_4{}^9\mathrm{Be}$    ${}_{17}{}^{35}\mathrm{Cl}$     ${}_{92}{}^{233}\mathrm{U}$

4. ${}_{92}{}^{233}\mathrm{U}$    ${}_4{}^9\mathrm{Be}$    ${}_{17}{}^{35}\mathrm{Cl}$

The wavelength of yellow light emitted by a sodium lamp is 580 nm. Calculate its frequency and wave number, respectively.

1. 517 × 10¹⁴ s^–1 , 172 × 10⁶ m^–1

2. 6.17 × 10¹⁴ s^–1 , 1.72 × 10⁶ m^–1

3. 4.17 × 10¹⁴ s^–1 , 2.72 × 10⁶ m^–1

4. 5.17 × 10¹⁴ s^–1 , 1.72 × 10⁶ m^–1

Calculate the energy of a photon having a frequency of 3 × 10¹⁵ Hz. 

1. 1.988 × ${10}^{-18}$ J
2. 1.588 × ${10}^{-18}$ J
3. 1.288 × ${10}^{-18}$ J
4. 2.988 × ${10}^{-18}$ J

A photon of wavelength 4 × 10^–7 m strikes a metal surface, the work function of the metal being 2.13 eV.  The kinetic energy of emission would be: