Advertisements
Advertisements
प्रश्न
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.
उत्तर
Given,
r = 5.3 × 10-11 m
v = 3 × 106 m/s
m = 9.1 × 10-31 kg
L = ?
Angular momentum of electron is
L = m v r
= 9.1 × 10-31 × 3 × 106 × 5.3 × 10-11
= 1.447 × 10-34 kg m2/s
∴ Angular momentum of electron is 1.447 × 10-34 kg m2/s.
APPEARS IN
संबंधित प्रश्न
Obtain an expression for the torque acting on a rotating body with constant angular acceleration. Hence state the dimensions and SI unit of torque.
Obtain an expression for torque acting on a body rotating with uniform angular acceleration.
Define moment of inertia. State its SI unit and dimensions.
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 flywheel of mass 8 kg and radius 10 cm rotating with a uniform angular speed of 5 rad/sec about its axis of rotation, is subjected to an accelerating torque of 0.01 Nm for 10 seconds. Calculate the change in its angular momentum and change in its kinetic energy.
An electron(e) is revolving in a circular orbit of radius r in the hydrogen atom. The angular momentum of the electron is (M = magnetic dipole moment associated with it and m = mass of electron)
A stone of mass 1 kg is rotated in a horizontal circle of radius 0.5 m. If it makes `100/pi` rps, then its angular momentum is ______
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 ______
Angular momentum of the earth revolving around the sun is proportional to rn , where r is the distance between the earth and the sun. Value of n is ____________.
If the angular momentum of a body increases by 50%, then its kinetic energy of rotation increases by ______ (M.I. remains constant)
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 ____________.
A particle of mass m is rotating in a plane in a circular path of radius r. Its angular momentum is L. The centripetal force acting on the particle is ______.
mass is whirled in a circular path with constant angular velocity and its linear velocity is v. If the string is now halved keeping the angular momentum same, the linear velocity is ______.
Earth revolves round the sun in a circular orbit of radius 'R'. The angular momentum of the revolving earth is directly proprtional to ______.
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?
Three-point masses each of mass 'M' are placed at the corners of an equilateral triangle of side 'a'. The moment of inertia of this system about an axis passing through one side of a triangle is ______.
A disc of moment of inertia 'I1' is rotating in horizontal plane about an axis passing through a centre and perpendicular to its plane with constant angular speed 'ω1'. Another disc of moment of inertia 'I2' having zero angular speed is placed co-axially on a rotating disc. Now, both the discs are rotating with constant angular speed 'ω2'. The energy lost by the initial rotating disc is ______.
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 angular momentum of the electron in the second orbit of hydrogen atom is L. The angular momentum in the third orbit is ______.
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)