A AL

Correct Answer:- Option-D
Question27:-For a central force motion, the Lagrangian is
<` (1)/(2) ` 7(` 0० ^ (2) +^ (2) नीलं 2 ^ (2))
(1)/(2)° mC dotr*(2)-r*(2)dottheta*(2))*
(1)/(2)m(* dotr*(2)+r*(2)dottheta *(2))+(k)/(r)*
0: (1)/(2) ` (` [^ (2) +0०ा^ (2) 0162 ^ (2))-(<)/(1)`
Correct Answer:- Option-C
Question28:-For the transformation Q = aq + 00, 0 = cq + dp to be canonical

Aad + bc = 1

B:-ad - “b®2* “c*2° =1
(:-१0 - 0८5 1

0:-90 - 002 ८51

Correct Answer:- Option-C
Question29:-An object in the shape of a cube is moving at a speed of 0.8C. The motion is parallel to X axis. The length of the
body along the Z direction is

A:-0.6 *L_(0)°

8:-0.36 (0).

C:-0.64 *L_(0)*

0:-1 (0)
(1 (0) is the Length at rest)

Correct Answer:- Option-D
Question30:-The Poisson bracket of three dynamical variables, [u, [v, w]] + [v, [w, u]] + [w, [u, v]] is

A:-Zero

B:--1

ای

D:-u

Correct Answer:- Option-A
Question31:-A curve function is written in terms of an orthonormal basis;
` [051> ` = ` ` ` 501(2/6)| ` ५ 1> ` +` ` `5011(1/6)` ` > ‘|u_2>> *+sqrt(3/6)*
What is the probability that the system is found to be in the state
١۷۰2< ‏5ا‎

83ھ

8:-1

Cc: 1/6

D:-zero

Correct Answer:- Option-C
Question32:-The angular part of the wave function for 1-1-atom is written using

A:-Spherical harmonics

B:-Bessel function

C:-Hermite polynomial

D:-Newmann function

Correct Answer:- Option-A
Question33:-The value of [J+, J-] is