A hypothetical electromagnetic wave is shown below. [figure] The frequency of the wave is x 1019 Hz. x = (nearest integer)
5
[figure]
The marked distance runs from a crest to the next zero, i.e. one quarter of a wave:
4 = 1.5 pm, so λ = 6 pm = 6 10-12 m
ν = c = 3 1086 10-12 = 5 1019 Hz
∴ x = 5
Answer: 5
Wavenumber for a radiation having 5800 Å wavelength is x 10 cm-1. The value of x is . (Integer answer)
Frequency of the de-Broglie wave of electron in Bohr's first orbit of hydrogen atom is 1013 Hz (nearest integer). [Given : RH (Rydberg constant) = 2.18 10-18 J, h (Planck's constant) = 6.6 10-34 J. s.]
For hydrogen atom, energy of an electron in first excited state is -3.4 eV. K.E. of the same electron of hydrogen atom is x eV. Value of x is 10-1 eV. (Nearest integer)
The value of Rydberg constant (RH) is 2.18 10-18 J. The velocity of electron having mass 9.1 10-31 kg in Bohr's first orbit of hydrogen atom = 105 ms-1 (nearest integer).
In an atom, total number of electrons having quantum numbers n = 4, |ml| = 1 and ms = - 12 is .
The de-Broglie's wavelength of an electron in the 4th orbit is 0. (a0 = Bohr's radius)
The maximum number of orbitals which can be identified with n = 4 and ml = 0 is .
According to the wave-particle duality of matter by de-Broglie, which of the following graph plot presents most appropriate relationship between wavelength of electron ( ) and momentum of electron (p)?
The number of radial node/s for 3p orbital is :
The ionization energy of sodium in kJ mol-1, if electromagnetic radiation of wavelength 242 nm is just sufficient to ionize sodium atom is .