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Q. No.A particle of mass \(m\) moves in the XY plane with a velocity \(v\) along the straight line AB. If the angular momentum of the particle with respect to the origin \(O\) is \(L_A\) when it is at \(A\) and \(L_B\) when it is at \(B,\) then:
| 1. | \(L_A>L_B\) |
| 2. | \(L_A=L_B\) |
| 3. | the relationship between \(L_A\) and \(L_B\) depends upon the slope of the line \(AB.\) |
| 4. | \(L_A<L_B\) |
Subtopic: Â Angular Momentum |
 69%
From NCERT
AIPMT - 2007
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The following are the given statements:
Choose the correct option:
| (a) | for a general rotational motion, angular momentum \(L\) and angular velocity \(\omega\) need not to be parallel. |
| (b) | for a rotational motion about a fixed axis, angular momentum \(L\) and angular velocity \(\omega\) are always parallel. |
| (c) | for a general translational motion, momentum \(p\) and velocity \(v\) are always parallel. |
| (d) | for a general translational motion, acceleration \(a\) and velocity \(v\) are always parallel. |
Choose the correct option:
| 1. | (a), (c) | 2. | (b), (c) |
| 3. | (c), (d) | 4. | (a), (b), (c) |
Subtopic: Â Angular Momentum |
From NCERT
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A uniform disc of mass \(m\) and radius \(r\) is rotating freely about its own axis, which is kept vertical. There is a small insect of mass \(\dfrac m2\) sitting on the periphery of the disc, also rotating with the disc. The initial angular speed of the disc is \(\omega_0.\) The insect moves radially inward and finally reaches the centre. The final angular speed of the disc is:
| 1. | \(\omega_0\) | 2. | \(2\omega_0\) |
| 3. | \(\dfrac32\omega_0\) | 4. | \(\dfrac52\omega_0\) |
Subtopic: Â Angular Momentum |
 61%
From NCERT
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A uniform rod of mass \(m\) and length \(L\) is struck at both ends by two particles of masses m, each moving with identical speeds \(u,\) but in opposite directions, perpendicular to its length. The particles stick to the rod after colliding with it. The system rotates with an angular speed:
| 1. | \(\dfrac{u}{L}\) | 2. | \(\dfrac{2u}{L}\) |
| 3. | \(\dfrac{12u}{7L}\) | 4. | \(\dfrac{6u}{L}\) |
Subtopic: Â Angular Momentum |
 54%
From NCERT
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If there is no external force acting on a non-rigid body which of the following quantities must remain constant?
| a. | angular momentum |
| b. | linear momentum |
| c. | kinetic energy |
| d. | moment of inertia |
| 1. | (a) and (b) |
| 2. | (b) and (c) |
| 3. | (c) and (d) |
| 4. | (a) and (d) |
Subtopic: Â Angular Momentum |
 53%
From NCERT
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