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Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - JEE MCQ


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10 Questions MCQ Test Daily Test for JEE Preparation - Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July)

Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) for JEE 2024 is part of Daily Test for JEE Preparation preparation. The Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) questions and answers have been prepared according to the JEE exam syllabus.The Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) below.
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Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 1
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What is the formula for linear momentum (p)?

Detailed Solution for Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 1
Linear momentum (p) is calculated using the formula p = mv, where "m" represents the mass of an object and "v" represents its velocity. This formula is a fundamental concept in physics and is used to describe the momentum of an object.
Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 2
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According to Newton's second law, what is the relationship between force (F) and the rate of change of momentum (dP/dt) for a single particle?

Detailed Solution for Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 2
According to Newton's second law, the force (F) acting on a single particle is equal to the rate of change of its momentum (dP/dt). This law relates the force applied to an object to how its momentum changes over time.
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Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 3
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What is the condition for a system of particles to be in equilibrium, based on Newton's second law applied to the system?

Detailed Solution for Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 3

For a system of particles to be in equilibrium, the total external force (Fext) acting on the system must be equal to zero (Fext = 0). This ensures that there is no change in the system's total linear momentum.

Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 4
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What does the equation "P = M V" represent in the context of a system of particles?
Detailed Solution for Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 4
The equation "P = M V" represents the conservation of linear momentum for a system of particles. It states that the total linear momentum of a system is equal to the product of the system's total mass (M) and the velocity of its center of mass (V).
Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 5
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What is the law of total linear momentum conservation for a system of particles?
Detailed Solution for Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 5
The law of total linear momentum conservation for a system of particles states that the total momentum of a system remains constant when no external forces act on it. This means that in the absence of external forces, the total linear momentum is conserved.
Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 6
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In the context of radioactive decay, what happens to the rate of change of momentum (dP/dt) when the net external force (Fext) is zero?
Detailed Solution for Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 6
When the net external force (Fext) is zero, the rate of change of momentum (dP/dt) remains constant. This means that there is no change in momentum over time in the absence of external forces.
Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 7
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What is one application of the conservation of linear momentum mentioned in the text?
Detailed Solution for Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 7
One application of the conservation of linear momentum mentioned in the text is rocket launches. Rockets propel upwards by expelling exhaust gases downwards, conserving linear momentum and allowing them to reach higher altitudes.
Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 8
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In a collision between two bodies where momentum is conserved, if the initial momentum is M V - m v, what is the final momentum?
Detailed Solution for Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 8
In a collision where momentum is conserved, the initial momentum is equal to the final momentum. Therefore, the final momentum is (M + m) vfinal.
Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 9
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In the context of motorboats, how do they maintain propulsion according to the principle of conservation of momentum?
Detailed Solution for Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 9
Motorboats maintain propulsion by expelling water in the opposite direction of the desired motion. This action conserves linear momentum, pushing the boat forward in response to the expelled water.
Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 10
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According to the third law of motion, why does an air-filled balloon move in the opposite direction when air rushes out of it?
Detailed Solution for Test: System of Particles and Rotational Motion - Linear Momentum of a System of Particles (15 July) - Question 10
According to the third law of motion, the air-filled balloon moves in the opposite direction when air rushes out of it to conserve linear momentum. The expelled air carries momentum, causing the balloon to move in the opposite direction as a reaction, following the law of conservation of momentum.
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