Advertisements
Advertisements
Question
Find the value of energy of electron in eV in the third Bohr orbit of hydrogen atom.
(Rydberg's constant (R) = 1· 097 x 107m - 1,Planck's constant (h) =6·63x10-34 J-s,Velocity of light in air (c) = 3 x 108m/ s.)
Advertisements
Solution
R = 1.097 × 107 m-1
h = 6.63 × 10-34 J - s ,
c = 3 × 108 m/s
n = 3
e = 1.6 × 10-19 C ,
E3 = ?
E = `(-6.63 xx 10^-34 xx 1.097 xx 10^7 xx 3 xx 10^8)/(9 xx 1.6 xx 10^-19)`
`= (-6.63 xx 1.097 xx 3)/(9 xx 1.6)`
`= - ["log" (6.63) + "log" (1.097) + "log"(3) - "log"(9) - "log" (1.6)]`
`[0.8215 + 0.0402 + 0.4771 - 0.9542 - 0.2041]`
`["antilog" (0.1805)]`
= 1.515 eV
The value of energy of electron in the third bohr orbit of hydrogen atom is 1.515 eV .
APPEARS IN
RELATED QUESTIONS
When radiations of wavelength λ1 and λ2 are incident on certain photosensitive, such that E1 > E2 . Then Planck's constant 'h' is ......................... .
(C = Velocity of light).
The photoelectric threshold wavelength of a metal is 230 nm. Determine the maximum kinetic energy in joule and in eV of the ejects electron for the metal surface when it is exposed to a radiation of wavelength 180 nm.
[Planck’s constant : h = 6.63 * 10-34 Js, Velocity of light : C = 3 * 108 m/s.]
Find the wave number of a photon having energy of 2.072 eV
Given : Charge on electron = 1.6 x 10-19 C,
Velocity of light in air = 3 x 108 m/s,
Planck’s constant = 6.63 x 10-34 J-s.
State two important properties of photon which are used to write Einstein’s photoelectric equation.
A proton and a deuteron are accelerated through the same accelerating potential. Which one of the two has less momentum?
Give reasons to justify your answer.
With reference to the photoelectric effect, define threshold wavelength
Write Einstein’s photoelectric equation.
According to Einstein’s model minimum energy needed for the electron to escape from a metal surface having work function ϕ0, the electron is emitted with maximum kinetic energy, Kmax = ______.
According to Einstein’s model, the threshold frequency for a metal having work function ϕ0 is given by _________.
Which of the following graphs correctly represents the variation of maximum kinetic energy (Ek) of photoelectrons with the frequency (𝜈) of the incident radiation?
In an inelastic collision, which of the following does not remain conserved?
According to Einstein's photoelectric equation, the plot of the kinetic energy of the emitted photoelectrons from a metal Vs the frequency of the incident radiation gives as straight the whose slope:
Einstein work on the photoelectric effect provided support for the eqn:-
Who indirectly determined the mass of the electron by measuring the charge of the electrons?
If the energy of photon corresponding to a wavelength of 6000 A° is 3.32 × 10−19 J, the photon energy for a wavelength of 4000 A° will be ______.
The slope of frequency of incident light and stopping potential for a given surface will be
Which of the following is/are true for cathode ray
The emission of electron is possible
The moment of a photon is given by
- Calculate the energy and momentum of a photon in a monochromatic beam of wavelength 331.5 nm.
- How fast should a hydrogen atom travel in order to have the same momentum as that of the photon in part (a)?
- Calculate the frequency of a photon of energy 6.5 × 10−19 J.
- Can this photon cause the emission of an electron from the surface of Cs of work function 2.14 eV? If yes, what will be the maximum kinetic energy of the photoelectron?
Ultraviolet light is incident on metals P, Q and R, having work functions 8 eV, 2 eV and 4 eV respectively,
- Which metal has lowest threshold frequency for photoelectric effect?
- For which metal is the value of Emax minimum?
(Note: Emax is maximum kinetic energy of the emitted photoelectrons.)
How does stopping potential in photoelectric emission vary if the intensity of the incident radiation increases?
