**[OBJECTIVE]**

**Subject:** Classical Mechanics

**Time Allowed:** 15 Minutes

**Maximum Marks:** 10

**NOTE:** *Attempt this Paper on this Question Sheet only. Please encircle the correct option. Division of marks is given in front of each question. This Paper will be collected back after expiry of time limit mentioned above.*

**Part-I Encircle the right answer, cutting and overwriting is not allowed. (10)**

1. The degree of freedom of a two paticles system moving freely in space is

(a) 4

(b) 2

(c) 3

(d) 6

2. Hamilton‘an of a system describes its

(a) time evolution

(b) space evolution

(c) state

(d) constraints

3. The brachistochorone problem is the

(a) least area problem

(b) least distance problem

(c) least time problem

(d) least energy problem

4. If the Lagrangian does not involve a particular coordinate g, such coordinate is called.

(a) Angle coordinate.

(b) Ficticious coordinate

(c) Complete coordinate :

(d) Cyclic coordinate.

5. Equation of conics r = λ/1+ecosθ draws a parabola when

(a) e =1

(b) e >2

(c) e < 1

(4) e = 0

6. The canonical transformations preserve

(a) Lagrange equations

{b) Hamilton’s equations

{c) Poisson equations

(d) None

7. The shortest distance between two points on a curved surface is

(a) a straight line

(b) a geodesic .

(c) a tangent

(d) a semi-circle

8. If the Lagrangian is cyclic in qi, then:

(a) pi is not conserved.

(b) pi is conserved.

(c) qi appears in the Lagrangian

(d} qi, does not appear in the Lagrangian

9. Scleronomous constraints have

(a) explicit time dependence

(b) no explicit time dependence .

{c}) explicit force dependence

(d) no explicit force dependence

10. Kepler’s second Law of planetary motion directly follows from

(a) Conservation of linear momentum

(b) Conservation of angular momentum

(c) Homogeniety of time

(d) Homogeneity of space

**[SUBJECTIVE]**

**Subject:** Classical Mechanics

**Time Allowed:** 1 Hour and 45 Minutes

**Maximum Marks:** 50

**NOTE:** *Attempt this Paper on this Question Sheet only. Please encircle the correct option. Division of marks is given in front of each question. This Paper will be collected back after expiry of time limit mentioned above.*

**Part-I Encircle the right answer, cutting and overwriting is not allowed. (10)**