Correct Answer:- Option-C

മ്മാ ಬ ಎ ಶತು ‏7م‎

Question19:-The value of a so that the vector is solencidal is
‏1-ھ‎
‎B:-4
‎0-5
‎D:-7
‎Correct Answer:- Option-D
Question20:-For a system ‏ما‎ which the Lagrangian is not an explicit function of time, the Hamiltonian ‏کا‎
‎A:-constant
‎B:-infinity
‎C:-zero
‎D:-none of these
Correct Answer:- Option-A
Question21:-For a system of two coupled oscillators, the total number of normal modes is
‏1-ھ‎
‎B:-2
‎6:3
‎D:-4
‎Correct Answer:- Option-B
Question22:-In the short wavelength limit, the schridinger equation reduces to
A:-Lagrange's equation
B:-Euler-Lagrange equation
C:-Hamilton's equations
D:-Hamilton-Jocobi equation
Correct Answer:- Option-D
Question23:-What is the dimension of the fractal-Cantor set 7

Correct Answer:- Option-B
Question24:-If [F, H] represents the Poisson bracket between an arbitrary function F and the Hamiltonian of वे system H, the
equation of motion will be

കട (15/019” ട [5.11]

8:-(15/08* 11.15]

C:-{dF)/(dt) =(delF)/(delt} + [F, 1]

பஸ்‌ ணை றார்‌

Correct Answer:- Option-C
Question25:-The maximum number of rotational degrees of freedom possible for a rigid body is

1-ھ

B:-2

C:-6

D:-3

Correct Answer:- Option-D
Question26:-If “a_(0)" donates the Bohr radius, the most probable distance of the electron from the nucleus in a Hydrogen
atom in its ground state is

கடற்‌

:-8 (0)

C:-2a_(0)

೧:-` (38_(0))/(2)7

Correct Answer:- Option-B
Question27:-The normalized wave functions ` [05 {1}` ताध *Psi_(2)" comrespond to the ground state and the first excited
state of a particle in a potential. An operator A acts on the wave functions as A"psi_(1}=Psi (2}" and
APsi_(2)" = "Psi_(1). The expectation value of A for the state ` 05 = ` (31051 (1) + 4051 (2))/66)` 5

A:-0.67

D:

Correct Answer:- Option-A