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
The energy of photon of wavelength X is_____ .
[h = Planck’s constant, c = speed of light in vacuum]
The threshold wavelength of silver is 3800Å. Calculate the maximum kinetic energy in eV of photoelectrons emitted, when ultraviolet light of wavelength 2600Å falls on it.
(Planck’s constant, h =6.63 x 1O-34J.s.,
Velocity of light in air, c = 3 x 108 m / s)
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.
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.
Einstein's photoelectric equation is:
a) `E_"max" = hlambda - varphi_0`
b) `E_"max"= (hc)/lambda varphi_0`
c) `E_"max" = hv + varphi_0`
d) `E_"max" = (hv)/lambda + varphi_0`
Write the basic features of photon picture of electromagnetic radiation on which Einstein’s photoelectric equation is based.
Write Einstein’s photoelectric equation.
According to the Einstein’s model, stopping potential Vo for a metal having work function ϕ0 is given by ______.
Calculate the maximum kinetic energy of photoelectrons emitted by a metal (work function = 1.5 eV) when it is illuminated with light of wavelength 198 nm.
A police van moving on a highway with a speed of 30 km/h fires a bullet at a thief's car speeding away in the same direction with a speed of 192 km/h. If the muzzle speed of the bullet is 150 m is, with what speed does the bullet hit the thief's car?
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:
Threshold frequency for photoelectric effect on sodium corresponds to a wave length 5000. Its work function is ______.
If the frequency of light in a photoelectric experiment is double the stopping potential will
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
The wavelength of matter is independent of
- 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.)
