Table of Contents
- 1 What is the significance of inertia?
- 2 What do you mean by moment of inertia and explain its physical significance?
- 3 What is physical significance of the lines in the following depictions of atomic orbital?
- 4 Which of the following set of quantum number belong to the highest energy?
- 5 What is the maximum number of orbitals that can be identified with the following quantum numbers?
- 6 How do you calculate the product of inertia?
- 7 What does inertia depend upon?
What is the significance of inertia?
In the translational motion, the mass of a body is a measure of its inertia. Greater the mass, larger is the inertia, greater is the force required to produce a given linear acceleration in it….Physical Significance of Moment of Inertia:
| Sr.No. | Translational motion | Rotational motion |
|---|---|---|
| 2 | Force F = m a | Torque τ = Iα |
What do you mean by moment of inertia and explain its physical significance?
Moment of inertia➫ A measure of a body’s resistance to angular acceleration, equal to the product of the mass of the body & the square of its distance from the axis of rotation. ❱ It is also called angular mass. ❱ It is a rotating body’s resistance to angular acceleration or deceleration.
What is the physical significance of moment of inertia and radius of gyration?
If the particles are distributed away from the axis of rotation, the radius of gyration is more. d. The knowledge of mass and radius of gyration of the body about a given axis of rotation gives the value of its moment of inertia about the same axis, even if we do not know the actual shape of the body.
What is physical significance of radius of gyration?
Radius of gyration is a measure of distribution of mass about the given axis of rotation. The knowledge of mass and radius of gyration of the body about a given axis of rotation gives the value of its moment of inertia about the same axis, even if we do not know the actual shape of the body.
What is physical significance of the lines in the following depictions of atomic orbital?
The physical significance of lines in the following depiction of atomic orbitals signifies the classification of the orbitals on the basis of the orientation, size as well as shape.
Which of the following set of quantum number belong to the highest energy?
Atomic orbitals are 4s, 3s, 3p and 3d. (n+l) values being 4,3,4 and 5. Hence 3d has highest energy.
What is curl and physical significance?
The physical significance of the curl of a vector field is the amount of “rotation” or angular momentum of the contents of given region of space. It arises in fluid mechanics and elasticity theory.
Which quantum number determines the orientation of orbital?
Magnetic Quantum Number
Magnetic Quantum Number (m) Gives the orientation of the orbital in space; in other words, the value of m describes whether an orbital lies along the x-, y-, or z-axis on a three-dimensional graph, with the nucleus of the atom at the origin.
What is the maximum number of orbitals that can be identified with the following quantum numbers?
The value of n=3 and l =1 suggest that it is a 3p orbital while the value of m1 = 0 [magnetic quantum number] shows that the given 3p orbital is 3pz in nature. Hence, the maximum number of orbitals identified by the given quantum number is only 1, i.e. 3pz.
How do you calculate the product of inertia?
For non-uniform objects, moment of inertia is calculated by the sum of the products of individual point masses and their corresponding distance from the axis of rotation. This generalized relationship can be used to calculate the moment of inertia of any system, since any object can be constituted as an aggregation of similar point masses.
What are the effects of inertia?
On the surface of the Earth, inertia is often masked by the effects of friction and air resistance, both of which tend to decrease the speed of moving objects (commonly to the point of rest), and gravity.
What are components of inertia?
It is an extensive (additive) property: for a point mass the moment of inertia is just the mass times the square of the perpendicular distance to the rotation axis. The moment of inertia of a rigid composite system is the sum of the moments of inertia of its component subsystems (all taken about the same axis).
What does inertia depend upon?
Inertia is the idea of an object that is moving will want to stay moving, or resist a change in direction. Inertia is more dependent on mass than speed, since a heavier object (more mass) will have more inertia. Imagine a bowling ball and a tennis ball are rolling across the floor, and you have to shoot one with a dart to change their direction.