Advertisements
Advertisements
प्रश्न
In accordance with the Bohr’s model, find the quantum number that characterises the earth’s revolution around the sun in an orbit of radius 1.5 × 1011 m with orbital speed 3 × 104 m/s. (Mass of earth = 6.0 × 1024 kg)
उत्तर
Radius of the orbit of the Earth around the Sun, r = 1.5 × 1011 m
Orbital speed of the Earth, v = 3 × 104 m/s
Mass of the Earth, m = 6.0 × 1024 kg
According to Bohr’s model, angular momentum is quantized and given as:
`"mvr" = "nh"/(2pi)`
Where,
h = Planck’s constant = 6.62 × 10−34 Js
n = Quantum number
∴ `"n" = ("mvr" 2pi)/"h"`
= `(2pi xx 6 xx 10^24xx 3 xx 10^4 xx1.5 xx 10^(11))/(6.62 xx 10^(-34))`
= 25.61 × 1073
= 2.6 × 1074
Hence, the quanta number that characterizes the Earth’s revolution is 2.6 × 1074.
APPEARS IN
संबंधित प्रश्न
How many electrons in an atom may have the following quantum numbers?
n = 3, l = 0
In Bohr’s model of the hydrogen atom, the radius of the first orbit of an electron is r0 . Then, the radius of the third orbit is:
a) `r_0/9`
b) `r_0`
c) `3r_0`
d) `9r_0`
Find the wavelength of the radiation emitted by hydrogen in the transitions (a) n = 3 to n= 2, (b) n = 5 to n = 4 and (c) n = 10 to n = 9.
Evaluate Rydberg constant by putting the values of the fundamental constants in its expression.
Answer the following question.
Use Bohr's model of hydrogen atom to obtain the relationship between the angular momentum and the magnetic moment of the revolving electron.
Mention demerits of Bohr’s Atomic model.
According to Bohr’s theory, the angular momentum of an electron in 5th orbit is ______.
For an electron in the second orbit of hydrogen, what is the moment of momentum as per the Bohr's model?
The energy of an electron in an excited hydrogen atom is - 3.4 eV. Calculate the angular momentum of the electron according to Bohr's theory. (h = 6.626 × 10-34 Js)
Consider two different hydrogen atoms. The electron in each atom is in an excited state. Is it possible for the electrons to have different energies but same orbital angular momentum according to the Bohr model? Justify your answer.
The simple Bohr model cannot be directly applied to calculate the energy levels of an atom with many electrons. This is because ______.
How will the energy of a hydrogen atom change if n increases from 1 to ∞?
Given below are two statements:
Statements I: According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increases with decrease in positive charges on the nucleus as there is no strong hold on the electron by the nucleus.
Statement II: According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increase with a decrease in principal quantum number.
In light of the above statements, choose the most appropriate answer from the options given below:
An electron in H-atom makes a transition from n = 3 to n = 1. The recoil momentum of the H-atom will be ______.
Orbits of a particle moving in a circle are such that the perimeter of the orbit equals an integer number of de-Broglie wavelengths of the particle. For a charged particle moving in a plane perpendicular to a magnetic field, the radius of the nth orbital will therefore be proportional to:
The total energy of an electron in the nth orbit of the hydrogen atom is proportional to ______.
State the Bohr's postulate of angular momentum of an electron.
The de Broglie wavelength of an electron in the first Bohr’s orbit of hydrogen atom is equal to ______.
