Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE

JEE: Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE

The document Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE is a part of the JEE Course Physics 35 Years JEE Main & Advanced Past year Papers.
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Q.1. A body A, of mass m = 0.1 kg has an initial velocity ofPrevious Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEEIt collides elastically with another body, B of the same mass which has an initial velocity ofPrevious Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE. After collision, A moves with a velocityPrevious Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE. The energy of B after collision is written as ( x/10) J.  The value of x is _________.    (2020)
Ans. 
(1)
Solution.

Given that
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Since, collision is elastic so by the conservation of linear momentum
Initial momentum = Final momentum
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Kinetic energy of B after collision is
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Therefore, x = 1

Q.2. A particle of mass m is dropped from a height h above the ground. At the same time another particle of the same mass is thrown vertically upwards from the ground with a speed ofPrevious Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEEIf they collide head-on completely inelastically, the time for the combined mass to reach the ground, in units ofPrevious Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEEis    (2020)
(1)Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
(2)Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
(3) 1/2

(4)Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Ans.
(4)
Solution.
Given thatPrevious Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Time for collision is given by t =Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Velocity before collision isPrevious Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
From conservation of momentum, we have Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
So, height from ground is given byPrevious Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
 Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE

Q. 3 A particle of mass m is projected with a speed u from the ground at an angle θ = π/3 w.r.t. horizontal (x-axis). When it has reached its maximum height, it collides completely inelastically with another particle of the same mass and velocity Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE. The horizontal distance covered by the combined mass before reaching the ground is    (2020)
(1)Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE

(2)Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
(3)Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE

(4)Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Ans. (1)
Solution.

Given that initial speed u, angle of projection from ground θ = π/3.
Speed of particle at height point is given byPrevious Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Applying conservation of momentum, we havePrevious Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Time of flight after collision is given byPrevious Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE

Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Range after collision is given by R =v′t
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE

Q 4. A particle is moving along a circular path with a constant speed of 10 m/s. What is the magnitude of the change in velocity of the particle, when it moves through an angle of 60° around the center of the circle?    (2019)
(1) 10√2 m/s
(2) 10√3 m/s
(3) 10 m/s
(4) zero
Ans:
(3)
Solution:
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE

Q 5. A particle of mass 20 g is released with an initial velocity 5 m/s along the curve from the point a, as shown in the figure. The point a is at height h from point B. The particle slides along the frictionless surface. When the particle reaches point B, its angular momentum about O will be (take g = 10 m/s2)    (2019)
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
(1) 2 kg·m2/s 
(2) 8 kg·m2/s
(3) 6 kg·m2/ s 
(4) 3 kg·m2/ s
Ans: (3)
Solution:
According to the conservation of energy
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Given, h = 10 m; v1 = 5 m; g = 10
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Angular momentum at point B about point O is
L = mrv        (r = h + a)
= mv2(h + a)
= 20 × 10−3 × 15 × 20 = 6 kg m2/s

Q 6. A particle of mass m is moving along the side of a square of side ‘a’, with a uniform speed v in the x-y plane as shown in the figure
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Which of the following statements is false for the angular momentum L about the origin?      (2016)

(1) Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEEwhen the particle is moving from A to B

(2) Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE when the particle is moving from C to D

(3) Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE when the particle is moving from B to C

(4) Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE when the particle is moving from D to A
Ans:
(2,4)
Solution:
Along CD, ⊥ distance from line of motion =Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
∴ Magnitude of angular momentum =Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Hence (2) is incorrect.
In option (4) the direction of Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE is incorrect.

Q 7. In the figure shown/ ABC is a uniform wire. If centre of mass wire lies vertically below point A, then    (2016)
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
1)1.85
(2) 1.5
(3) 3
(4) 1.37
Ans: 
(4)
Solution:
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
If CM lies vertically below A ⇒ as per choose coordinate axis in x- coordinate is equal to Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE
Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE

The document Previous Year Questions (2016-20): Momentum and Impulse | JEE Main Notes | Study Physics 35 Years JEE Main & Advanced Past year Papers - JEE is a part of the JEE Course Physics 35 Years JEE Main & Advanced Past year Papers.
All you need of JEE at this link: JEE

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