
Which of the following statements about angular momentum is correct?
A) It is moment of Inertia
B) It is directly proportional to moment of Inertia
C) It is a scalar quantity
D) All of these
Answer
233.1k+ views
Hint: When a body is in linear motion, it experiences linear momentum. Similarly, when an object is in circular motion, it experiences angular momentum. In other words, it is the rotational equivalent of momentum, often called moment of momentum. A basic knowledge of angular momentum will help us solve the question.
Complete step by step solution:
To solve this question, we will analyse all the questions one by one
Option A: It is moment of inertia
This option is incorrect. Angular momentum is not a moment of Inertia. Angular momentum is related to Moment of inertia, but these two quantities are not the same. They are two different quantities.
Option B: It is directly proportional to moment of inertia
This option is correct. Angular momentum is the product of moment of inertia and angular velocity. Therefore, it is clear that angular momentum will be directly proportional to the moment of inertia of the object.
Option C: It is a scalar quantity.
This option is incorrect. As mentioned earlier, Angular momentum is the product of moment of inertia and angular velocity. Since, angular velocity is a vector quantity, its product will also be a vector quantity.
Option D: All of these
Since option A and C have been proved to be incorrect this option automatically becomes incorrect.
Hence, option B is the correct option.
Note: You might want to learn the basic definitions and formulas for the basic quantities. It makes it easier to find the relation between two quantities. Also, it helps us determine whether the quantity is scalar or vector.
Complete step by step solution:
To solve this question, we will analyse all the questions one by one
Option A: It is moment of inertia
This option is incorrect. Angular momentum is not a moment of Inertia. Angular momentum is related to Moment of inertia, but these two quantities are not the same. They are two different quantities.
Option B: It is directly proportional to moment of inertia
This option is correct. Angular momentum is the product of moment of inertia and angular velocity. Therefore, it is clear that angular momentum will be directly proportional to the moment of inertia of the object.
Option C: It is a scalar quantity.
This option is incorrect. As mentioned earlier, Angular momentum is the product of moment of inertia and angular velocity. Since, angular velocity is a vector quantity, its product will also be a vector quantity.
Option D: All of these
Since option A and C have been proved to be incorrect this option automatically becomes incorrect.
Hence, option B is the correct option.
Note: You might want to learn the basic definitions and formulas for the basic quantities. It makes it easier to find the relation between two quantities. Also, it helps us determine whether the quantity is scalar or vector.
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