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Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - JEE MCQ


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Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 1

Why is momentum considered a vector quantity?

Detailed Solution for Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 1
Momentum is considered a vector quantity because it has both magnitude and direction. The direction of momentum is the same as the direction of velocity, making it a vector.
Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 2

Under what condition is the Law of Conservation of Momentum applicable?

Detailed Solution for Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 2
The Law of Conservation of Momentum is applicable only in the absence of external forces. When no external forces act on a system, the total momentum of the system remains constant.
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Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 3

Which law of physics does the Law of Conservation of Momentum derive from?

Detailed Solution for Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 3
The Law of Conservation of Momentum is derived from Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. This law is fundamental in understanding momentum conservation.
Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 4
What is the definition of momentum?
Detailed Solution for Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 4
Momentum is defined as the product of mass and velocity. It is represented by the formula: p = mv, where "p" is momentum, "m" is mass, and "v" is velocity. This definition is a fundamental concept in physics.
Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 5
Why is momentum conserved during a collision?
Detailed Solution for Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 5
Momentum is conserved during a collision because of Newton's Third Law of Motion, which states that for every action, there is an equal and opposite reaction. In a collision, the forces between objects obey this law, leading to the conservation of momentum.
Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 6
What is the mathematical expression of the Law of Conservation of Momentum for a system of two point masses, m1 and m2, during a collision?
Detailed Solution for Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 6
The correct mathematical expression of the Law of Conservation of Momentum for a system of two point masses during a collision is m1u1 + m2u2 = m1v1 + m2v2, where "m1" and "m2" are the masses, "u1" and "u2" are the initial velocities, and "v1" and "v2" are the final velocities of the two objects.
Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 7
Which of the following is NOT an example of the Law of Conservation of Momentum?
Detailed Solution for Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 7
The motion of a stationary car is not an example of the Law of Conservation of Momentum because the car is not in motion, and there is no momentum to conserve in this case.
Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 8
In rocket propulsion, how is the Law of Conservation of Momentum applied?
Detailed Solution for Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 8
In rocket propulsion, the Law of Conservation of Momentum is applied by releasing hot gases from the rocket's exhaust. This action provides the required forward velocity to the rocket in accordance with the conservation of momentum.
Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 9
What is the SI unit for momentum?
Detailed Solution for Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 9
The SI unit for momentum is Kg-m/s. This unit represents the product of mass (Kg) and velocity (m/s), which is consistent with the definition of momentum.
Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 10
What is the change in momentum of an object with mass m and velocity v if it changes its velocity from u to v?
Detailed Solution for Test: Conservation of Momentum & Equilibrium of a Particle (June 3) - Question 10
The change in momentum of an object with mass "m" and velocity changing from "u" to "v" is given by mv - mu. This represents the final momentum minus the initial momentum, which quantifies the change.
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