[amp_mcq option1=”Moment of inertia and moment of a force” option2=”Work and Torque” option3=”Angular momentum and Planck’s constant” option4=”Impulse and Momentum” correct=”option1″]<\/p>\n
The correct answer is $\\boxed{\\text{(B) Work and Torque}}$.<\/p>\n
Moment of inertia is a measure of how difficult it is to change the rotation of an object. It is calculated by multiplying the mass of an object by the square of its radius of gyration. The radius of gyration is a measure of how far the mass of an object is concentrated from its axis of rotation.<\/p>\n
Moment of a force is a measure of how much a force tends to cause an object to rotate. It is calculated by multiplying the force by the distance from the axis of rotation to the point where the force is applied.<\/p>\n
Work is the amount of energy transferred to an object by a force acting on it. It is calculated by multiplying the force by the distance over which the force acts.<\/p>\n
Torque is the rotational equivalent of force. It is calculated by multiplying the force by the distance from the axis of rotation to the point where the force is applied.<\/p>\n
Angular momentum is a measure of how much an object is rotating. It is calculated by multiplying the mass of an object by the square of its radius of rotation and the angular velocity of the object.<\/p>\n
Planck’s constant is a fundamental constant of nature that appears in many equations in quantum mechanics. It is denoted by the symbol $\\hbar$ and has the value $6.62607015 \u00c3\u0097 10^{-34}$ J s.<\/p>\n
Impulse is the change in momentum of an object. It is calculated by multiplying the mass of an object by the change in its velocity.<\/p>\n
Momentum is a measure of how much an object is moving. It is calculated by multiplying the mass of an object by its velocity.<\/p>\n
As you can see, the only pair that does not have identical dimensions is $\\boxed{\\text{(B) Work and Torque}}$. Work has the dimension of force times distance, while torque has the dimension of force times distance times radius.<\/p>\n","protected":false},"excerpt":{"rendered":"
[amp_mcq option1=”Moment of inertia and moment of a force” option2=”Work and Torque” option3=”Angular momentum and Planck’s constant” option4=”Impulse and Momentum” correct=”option1″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[25],"tags":[],"class_list":["post-21764","post","type-post","status-publish","format-standard","hentry","category-physics","no-featured-image-padding"],"yoast_head":"\n