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Newton's Third Law primarily describes the interactions between:
The text states, 'Forces in nature always occur between pairs of bodies.' Newton's Third Law defines these mutual interactions.
The Law of Conservation of Momentum is a consequence of which other laws of motion?
The NCERT states, 'The law [of Conservation of Momentum] follows from the second and third law of motion.'
When a gun is fired, the bullet moves forward, and the gun recoils backward. This backward movement of the gun is due to:
The force exerted by the gun on the bullet (action) causes the bullet to move forward. Simultaneously, the bullet exerts an equal and opposite force on the gun (reaction), causing the gun to recoil. This is a classic example of Newton's Third Law.
Which of the following statements is TRUE regarding the center of mass of a system of particles?
According to the NCERT text, 'The centre of mass moves as if all the mass of the system is concentrated at this point and all the external forces act at it.' This is a fundamental concept in the motion of the center of mass.
For a thin rod with uniformly distributed mass, where does its center of mass lie?
The NCERT text states: 'By using symmetry consideration, we can easily show that the centres of mass of these bodies [homogeneous bodies of regular shapes like rings, discs, spheres, rods etc.] lie at their geometric centres.' For a thin rod, its geometric center is its midpoint.
The position vector of the center of mass ($R$) for a system of $n$ particles is given by:
The NCERT summary clearly defines the position vector of the centre of mass of a system of n particles as $R = \frac{1}{M} \sum m_i r_i$, where $M$ is the total mass of the system.
If the center of mass is chosen as the origin of a coordinate system, then the integral $\int r dm$ will be equal to:
The NCERT text states: 'If we choose, the centre of mass as the origin of our coordinate system, $R = 0$, i.e., $\int r dm = 0$.' This implies that the weighted average position of all mass elements relative to the center of mass is zero.
For a continuous distribution of mass, the coordinates of the center of mass (X, Y, Z) are given by:
The NCERT text provides the coordinates of the center of mass for a continuous mass distribution as $X = \frac{1}{M} \int x dm$, $Y = \frac{1}{M} \int y dm$, $Z = \frac{1}{M} \int z dm$. Since $M = \int dm$, options (2) and (3) are equivalent and both correctly represent the coordinates.
In pure translational motion, what is true about the velocities of any two particles within a rigid body at any instant of time?
The summary states: 'In pure translation, every particle of the body moves with the same velocity at any instant of time.' This is a defining characteristic of pure translation.
The velocity of the center of mass ($V$) of a system of particles is related to the total linear momentum ($P$) and total mass ($M$) of the system by:
The NCERT summary mentions: 'Velocity of the centre of mass of a system of particles is given by $V = P/M$, where $P$ is the linear momentum of the system.'
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The bank mixes NEET previous year questions (PYQs) with practice questions, each tagged with its exam appearances where applicable.