Conservation of Momentum JEE Questions

Conservation of Momentum JEE Questions


Conservation of Momentum JEE Questions
Conservation of Momentum JEE Questions

Conservation of Momentum JEE Questions

These questions are JEE Mains Previous year Questions from the chapter Conservation of Momentum. These will help you to boost up and prepare well for JEE Mains .


1. Consider the following two statements.                                                     (2003)         

(a) Linear momentum of a system of particles is zero.

(b) Kinetic energy of system of particles is zero.

(A) 'a' does not imply b and 'b' does not imply 'a'

(B) 'a' implies 'b' but 'b' does not imply 'a'

(C) 'a' does not imply 'b' but 'b'implies 'a'

(D) 'a' implies 'b' and 'b' implies 'a'

Ans (C)

2. Two spherical bodies of mass M and 5M and radii R and 2R respectively are released in free space with initial separation between their centres equal to 12R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision is

(2003)

(A) 2.5R

(B) 4.5R

(C) 7.5R

(D) 1.5R

Ans (C)

 3. A mass 'm' moves with a velocity v and collides inelastically with another identical mass. After collision the 1st mass moves with velocity v√3 in a direction perpendicular to the initial direction of motion. Find the speed of the 2nd mass after collision 

(2005)

Conservation of Momentum JEE Questions

Conservation of Momentum JEE Questions

(A) v

(B) √3 v

(C) 2v√3

(D) v/√3

Ans (C)

4. A body A of mass M while falling vertically downwards under gravity breaks into two parts; a body B of mass 1/3 M and a body C of mass 2/3 M. The centre of mass of bodies B and C taken together shifts compared to that of body A towards

(2005)

(A) depends on height of breaking

(B) does not shift

(C) body C

(D) body B

Ans (B)

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5. Consider a two particle system with particles having masses m1 and  m2. If the first particle is pushed towards the centre of mass through a distance d. by what distance should the second particle be moved, so as to keep the centre of mass at the same position?

(2006)

(A) d

(B) m2 d /m1

(C)m1 d/m1 + m2

(D) m1 d/m2

Ans (D)

6. A circular disc of radius R is removed from a bigger circular disc of radius 2R such that circumferences of the discs coincide. The centre of mass of the new disc is αR  from the centre of a bigger disc .The value of α is

(2007)

 (A) 1/3

(B) 1/2

(C) 1/6

(D) 1/4

Ans (A)

7.  A thin rod of length 'L' is lying along the x-axis with its ends at x = 0 and x = L. Its linear density (mass/length) varies with x as k(x/L)n , where n can be zero or any positive number. If the position  xcm  of the centre of mass of the rod is plotted against 'n', which of the following graphs best approximates the dependence of xcm on n?

(2008)

Conservation of Momentum JEE Questions

Conservation of Momentum JEE Questions


Ans (A)

8. A block of mass 0.50 kg is moving with a speed of 2.00 m/s on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision                       

(2008)

(A) 0.16 J

(B) 1.00 J

(C) 0.67 J

(D) 0.34 J

Ans (C)

9. Statement-1 : Two particles moving in the same direction do not lose all their energy in a completely inelastic collision.                                     

(2010)

Statement-2 : Principle of conservation of momentum holds true for all kinds of collisions.

 

(A) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.

(B) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1

(C) Statement-1 is false, Statement-2 is true.

(D) Statement-1 is true, Statement-2 is false.

Ans (B)

10. The figure shows the position - time (x – t) graph of one-dimensional motion of a body of mass 0.4 kg. The magnitude of each impulse is

(2010)

Conservation of Momentum JEE Questions

Conservation of Momentum JEE Questions


 (A) 0.4 Ns

 (B) 0.8 Ns

(C) 1.6 Ns

(D) 0.2 Ns

Ans (B)

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    11. A boy of mass 20 kg is standing on a 80 kg free to move long cart. There is negligible friction between cart and ground. Initially, the body is standing 25 m from a wall. If he walks 10 m on the cart towards the wall, then the final distance of the boy from the wall will be                                             

    (2013)

    (A) 15 m

    (B) 12.5 m

    (C) 15.5 m

    (D) 17 m

    Ans (D)

    12. This question has Statement l and Statement II. Of the four choices given after the Statements, choose the one that best describes the two Statements.                                                                          

    (2013)

    Statement -I: A point particle of mass m moving with speed v collides with stationary point particle of mass M. If the maximum energy loss possible is given as  f (mv2/2) then f = (m / M+m)

     

    Statement - ll : Maximum energy loss occurs when the particles get stuck together as a result of the collision.

     

    (A) Statement - I is true, Statement - Il is true, Statement - Il is not a correct explanation of Statement -I.

    (B) Statement -I is true, Statement - Il is false.

    (C) Statement - I is false, Statement - Il is true

    (D) Statement - 1 is true, Statement - Il is true, Statement - II is a correct explanation of Statement - I.

    Ans (C)

    13. A hoop of radius r and mass m rotating with an angular velocity ωo  is placed on a rough horizontal surface.The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip?                                                                          

    (2013)

    (A) r ωo / 3

    (B) r ωo/2

    (C) r ωo

    (D) r ωo/4

    Ans (B)

    14. A bullet looses (1/n) th of its velocity passing through one plank. The number of such planks that are required to stop the bullet can be:

    (2014)

     (A) n2/ 2n-1

    (B) 2n2/n-1

    (C) infinite

    (D) n

    Ans (A)

    15. A ball of mass 160 g is thrown up at an angle of 60° to the horizontal at a speed of 10 m/s. The angular momentum of the ball at highest point of trajectory with respect to the point from which the ball is thrown is nearly (g = 10 m/s?). (2014)

    (A) 1.73 kg m2/s

    (B) 3.0 kg m2/s

    (C) 3.46 kg m2/s

     (D) 6.0 kg m2/s

    Ans (B)

    16.  Three masses m, 2m and 3m are moving in x-y plane with speed 3u, 2u and u respectively as shown in figure. The three masses collides at the same point at P and stick together. The velocity of resulting mass will be

    (2014)

    Conservation of Momentum JEE Questions

    Conservation of Momentum JEE Questions

    (A)   u (i+√3j)/12                                                                          

    (B) u (i – √3j) /12

    (C) u(-i+√3j) /12

    (D) u(-i-√3) /12

    Ans (D)

    17.  A 4g bullet is fired horizontally with a speed of 300 m/s in to 0.8 kg block of wood at rest on a table. If the coefficient of friction between the block and the table is 0.3, how far will the block slide approximately?              

    (2014)

    (A) 0.19 m

    (B) 0.379 m

    (C) 0.569 m

    (D) 0.758 m

    Ans (B)

    18.  Distance of the centre of mass of a solid uniform cone from its vertex is Zo. If the radius of its base is R and its height is h then Zo is equal to:

    (2015)

    (A) 3h/4

    (B) 5h/8

    (C) 3h2 /8R

    (D) h2/4R

    Ans (A)

    19. A particle of mass m moving in the x direction with speed 2v is hit by another particle of mass 2m the y direction with speed v. If the collision is perfectly inelastic, the percentage loss in the energy during the collision is close

    (2015)                                                                                        

    (A) 50%

    (B) 56%

    (C) 62%

    (D) 44% 

    Ans (B)

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