MTH622 Final Term Quiz 3 January 2024 by Miss Mehwish

MTH622 · Final Term (Live Quiz) · Past Papers for Mids./Finals are also Available

Subject Code: MTH622 - Vectors and Classical Mechanics

Q1. The Moment of inertia of a hollow cylindrical shell having mass M and radius a is given by:

☐ I = 2/3 Ma² ☐ I = 2/5 Ma² ☐ I = 1/2 Ma² ✅ I = Ma²

Q2. Let 1.2kg be the mass and 3m be the length of a thin solid rod. Its moment of inertia about the axis perpendicular to the rod through the center of mass will be ____kgm².

☐ 3.6 ✅ 1.8 ☐ 5.4 ☐ 2.7

Q3. Let r⃗ = 2i^ be the position vector of a particle and p⃗ = 3i^ be its momentum. Then the magnitude of angular momentum L⃗ of the particle will be:

☐ 0 ☐ 1 ☐ 5 ✅ 6

Q4. If no external force is acting on the system of two colliding bodies, then by the principle of conservation of linear momentum which of the following statement is correct?

☐ Total momentum before the collision is reciprocal of the total momentum after the collision. ✅ Total momentum before the collision is equal to the total momentum after the collision. ☐ Total momentum before the collision is less than the total momentum after the collision. ☐ Total momentum before the collision is greater than the total momentum after the collision.

Q5. Let P be any point on the ellipsoid of inertia and 0.25kgm² be the moment of inertia about any line OP of the rigid body. The length of line OP will be _____m.

☐ 1 ✅ 2 ☐ 4 ☐ 5

Q6. Let 0.01kgm² be the moment of inertia (about an axis passing through the fixed point) of a rigid body rotating with the angular velocity 20 rad/s. Its kinetic energy will be ____ J.

☐ 4 ☐ 5 ✅ 2 ☐ 1

Q7. The moment of inertia of a ring of mass 1kg and radius 0.9m about an axis passing through its center will be _____kgm².

☐ 0.18 ☐ 0.45 ✅ 0.81 ☐ 1.8

Q8. A solid metal sphere having the moment of inertia of 0.44kgm² is rotating with an angular speed of 2 rad/s. Its rotational kinetic energy would be ____ J.

✅ 0.88 ☐ 0.48 ☐ 0.76 ☐ 0.66

Q9. The correct option for this question was already answered in earlier conversation.

Q10. If a system is isolated, then the total external torque (moment of force) remains constant in ______.

☐ direction ✅ both magnitude and direction ☐ number of particles of the system ☐ magnitude

1. A solid metal sphere having the moment of inertia of 0.44 kgm² is rotating with an angular speed of 2 rad/s. Its rotational kinetic energy would be _____ J.

• a) 0.76
• b) 0.48