Structure of Atom

Based on Heisenberg's uncertainty principle, the uncertainty in the velocity of the electron to be found within an atomic nucleus of diameter 10-15 m is 109 ms-1 (nearest integer) [Given : mass of electron = 9.1 10-31 kg, Planck's constant (h) = 6.626 10-34 Js] (Value of = 3.14)

A hypothetical electromagnetic wave is shown below. [figure] The frequency of the wave is x 1019 Hz. x = (nearest integer)

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)?

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