Advertisements
Advertisements
प्रश्न
Calculate the change in angular momentum of the electron when it jumps from third orbit to first orbit in hydrogen atom.
(Take h = 6.33 × 10−34 Js)
Advertisements
उत्तर
According to Bohr's second postulate,
Angular momentum = `(nh)/(2 pi)`
For the first orbit, n1 = 1
∴ `L_1 = ((1)h)/(2 pi) = h/(2 pi)` ...(i)
For the third orbit, n3 = 3
∴ `L_3 = ((3)h)/(2 pi) = (3h)/(2 pi)` ...(ii)
When an electron jumps from 3rd orbit to 1st orbit, the change in angular momentum is
`L_3 - L_1 = (3 h)/(2 pi) - h/(2 pi)`
= `(2 h)/(2 pi)`
= `h / pi`
Putting h and π values, we get
Change in angular momentum = `(6.33 xx 10^-34)/3.142`
= 2.11 × 10−34 kg m2/s
The change in angular momentum of an electron when it jumps from the 3rd orbit to the 1st orbit in a hydrogen atom is 2.11 × 10−34 kg m2/s.
APPEARS IN
संबंधित प्रश्न
State the law of conservation of angular momentum and explain with a suitable example.
Define moment of inertia. State its SI unit and dimensions.
A stone is tied to one end of a string. Holding the other end, the string is whirled in a horizontal plane with progressively increasing speed. It breaks at some speed because ______
A flywheel is revolving with a constant angular velocity. A chip of its rim breaks and flies away. What will be the effect on its angular velocity?
A charged particle (charge = q: mass = m) is rotating in a circle of radius 'R' with uniform speed 'v'. The ratio of its magnetic moment (M) to the angular momentum (L) is ______
If the angular momentum of a body increases by 50%, then its kinetic energy of rotation increases by ______ (M.I. remains constant)
A thin metal wire of length 'L' and uniform linear mass density 'ρ' is bent into a circular coil with 'O' as centre. The moment of inertia of a coil about the axis XX' is ______.
The angular momentum of electron in hydrogen atom is proportional to ____________.
If the kinetic energy of rotation of a body is doubled, then its angular momentum ____________.
Two bodies with moments of inertia I1 and I2 (I1 > I2) have equal angular momenta. lf E1 and E2 are their rotational kinetic energies respectively, then ____________.
The ratio of the dimensions of Planck's constant to that of moment of inertia is the dimensions of ______.
A homogeneous disc of mass 2 kg and radius 15 cm is rotating about its axis (which is fixed) with an angular velocity of 4 radian/s. The linear momentum of the disc is ____________.
An electron has a mass of 9.1 x 10-31 kg. It revolves round the nucleus in a circular orbit of radius 0.529 x 10-10 metre at a speed of 2.2 x 106 m/s. The magnitude of its linear momentum in this motion is ____________.
The direction of angular momentum of particle is ____________.
A particle is revolving in anticlockwise sense along the circumference of a circle of radius 'r' with linear velocity 'v', then the angle between 'v' and angular velocity 'ω' will be ______.
If E, M and P are the kinetic energy, mass and linear momentum of a particle respectively, which of the following relations represents the angular momentum L of the particle when the particle rotates in a circle of radius R?
An electron in an atom is revolving round the nucleus in a circular orbit of radius 5.3 × 10-11 m with a speed of 3 × 106 m/s. Find the angular momentum of electron.
A body is rotating about its own axis. Its rotational kinetic energy is x and its angular momentum is y, hence its moment of inertia about the axis is ______.
The difference in the angular momentum of an electron in two successive orbits of a hydrogen atom is ______.
A sphere rolls without slipping on a rough horizontal surface with centre of mass speed v0. If mass of the sphere is M and its radius is R, then what is the angular momentum of the sphere about the point of contact?
The angular momentum of the electron in the second orbit of hydrogen atom is L. The angular momentum in the third orbit is ______.
Two whistles A and B have frequencies 660 Hz and 590 Hz respectively. An observer is standing in the middle of the line joining the two sources. he middle of the line joining the two sources. Source B and observer are moving towards right with velocity 30 m/s and A is stationary at left side. The number of beats listened by the observer are ______.
(Velocity of sound in air = 300 m/s)
