Multiple Choice Questions based on Angular Momentum

Описание: Q1.A ring of diameter 0.4m and mass 10kg is rotating about its axis at the rate of 1200rpm. The angular momentum of the ring is
a)60.28 kg-m2 s-1 b) 55.26kg-m2 s-1 c) 40.28kg-m2 s-1d) 50.28kg-m2 s-1
Q2.A particle of mass 2kg located at the position (i ̂ + j ̂ ) m has a velocity 2( (i ̂ - j ̂ + k ̂) m/s. Its angular momentum about z-axis ( in kg-m2 s-1 ) is
a) + 4 b) +8 c) -4 d) -8
Q3.A disc of mass m and radius R is rolling on a horizontal ground with velocity v. What is the angular momentum of the disc about an axis passing through bottom point and perpendicular to the plane of motion?
a) 3/2 mvR b) mvR c) 1/2 mvR d) 4/3 mvR
Q4. A particle of mass 5g is moving with a uniform speed of 3√2 cm/s in x-y plane along the line y = 2√5 cm. The magnitude of its angular momentum about the origin (in g-cm2 s-1 ) is
a) Zero b) 30 c) 30√2 d) 30√10
Q5. A particle of mass m = 5units is moving with a uniform velocity 3√2 units in the x-y plane along the line y = x + 4 . The magnitude of the angular momentum about origin is
a) Zero b) 60units c) 7.5units d) 40√2 units
Q6. A sphere rolls without slipping on a rough horizontal surface with centre of mass speed v_0 . If mass of the sphere is M and its radius is R , then what is the angular momentum of the sphere about the point of contact?
a) 5/2Mv_0 R b) 7/5Mv_0 R c) (3 )/5Mv_0 R d) 1/2Mv_0 R
Q7. A particle of mass m is projected with a velocity (v) making an angle 450 with horizontal. The magnitude of angular momentum of projectile about the point of projection when the particle is at its maximum height h is –
a) Zero b) (mvh )/√2 c) mvh d) √2 mvh
Q8. A particle of mass m is moving in y-z plane with uniform velocity (v) with its trajectory running parallel to positive y – axis and intersecting Z- axis at z = a as shown in figure. The change in angular momentum about the origin as it bounces elastically from a wall at y = constant is-
a) mva e ̂_x b) 2 mva e ̂_x c) y mv e ̂_x d) 2 y mv e ̂_x

Q09. Two particles A and B are moving as shown in the figure . The total angular momentum about O is (page 409 Arihant Q-36)
a) 5 kg-m2 s-1 b) zero c) 59 kg-m2 s-1 d) 37.9 kg-m2 s-1
Q10. A particle moves with constant velocity parallel to X- axis. Its angular momentum w.r.t. origin
a) Zero b) remains constant c) goes on increasing d) goes on decreasing
Q11. A particle of mass m is projected with velocity (v) at angle θ with horizontal. Find its angular momentum about the point of projection when it is at the highest point of its trajectory. Ans : (m v^3 〖sin〗^2 θ cos θ)/2g
Please see the video for better understanding.



The videos will contain the content as per the CBSE board. The content will also help to those students who are going to appear in NEET or JEE Exams.