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Which of the following statement is wron...

Which of the following statement is wrong?

A

The moment of linear momentum is a vector quantity

B

The moment of the mass is called moment of inertia

C

The moment of linear momentum is called angular momentum

D

The moment of a force is called torque.

Text Solution

AI Generated Solution

The correct Answer is:
To determine which statement is wrong among the given options, we will analyze each statement one by one. ### Step 1: Analyze Statement A **Statement A:** "The moment of linear momentum is a vector quantity." - **Explanation:** The moment of linear momentum, also known as angular momentum (L), is defined as the cross product of the position vector (r) and the linear momentum vector (p). Mathematically, it is expressed as: \[ L = r \times p \] Since both r and p are vector quantities, their cross product is also a vector quantity. Therefore, this statement is **correct**. ### Step 2: Analyze Statement B **Statement B:** "The moment of mass is called moment of inertia." - **Explanation:** The term "moment of mass" is not a standard term in physics. The correct term is "moment of inertia," which is defined as the sum of the products of the mass of each particle and the square of its distance from the axis of rotation. It is given by: \[ I = \sum m_i r_i^2 \] where \( m_i \) is the mass of the particle and \( r_i \) is the distance from the axis of rotation. The statement incorrectly equates "moment of mass" with "moment of inertia." Therefore, this statement is **incorrect**. ### Step 3: Analyze Statement C **Statement C:** "The moment of linear momentum is called angular momentum." - **Explanation:** As previously stated, the moment of linear momentum is indeed defined as angular momentum. Thus, this statement is also **correct**. ### Step 4: Analyze Statement D **Statement D:** "The moment of force is called torque." - **Explanation:** The moment of force, commonly referred to as torque (τ), is defined as the product of the force (F) and the distance (r) from the pivot point, expressed as: \[ \tau = r \times F \] This definition is accurate, making this statement **correct**. ### Conclusion After analyzing all the statements, we find that: - Statement A: Correct - Statement B: **Incorrect** - Statement C: Correct - Statement D: Correct Thus, the wrong statement is **Statement B**.
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VMC MODULES ENGLISH-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-IMPECCABLE
  1. Which of the following statement is wrong?

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  2. The angular momentum of body remains conserve if :

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  3. A circular disc is to be made using iron and aluminium. To keep its mo...

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  4. If rotational kinetic energy is 50% of total kinetic energy then the ...

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  5. A person is standing on the edge of a circular platform, which is movi...

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  6. A thin circular ring of mass M and radius r is rotating about its axis...

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  7. A solid cylinder of mass M and radius R rolls without slipping down an...

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  8. A bull rolls without slipping. The radius of gyration of the ball abou...

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  9. The moment of inertia in rotational motion is equivalent to :

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  10. Two rods each of mass m and length 1 are joined at the centre to form ...

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  11. A wheel has moment of inertia 5 xx 10^(-3) kg m^(2) and is making 20 "...

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  12. The ratio of the radii of gyration of a circular disc about a tangenti...

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  13. A round disc of moment of inertia I2 about its axis perpendicular to i...

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  14. Three particles, each of mass m are situated at the vertices of an equ...

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  15. A wheel having moment of inertia 2 kg m^(2) about its vertical axis, r...

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  16. In an orbital motion, the angular momentum vector is :

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  17. A solid cylinder of mass 20kg has length 1 m and radius 0.2 m. Then it...

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  18. A constant torque acting on a uniform circular changes its angular mom...

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  19. A dancer is standing on a rotating platform taking two sphere on her ...

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  20. The rate of change of angular momentum is called

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  21. Two bodies have their moments of inertia I and 2I respectively about t...

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