Question19:-Orthogonal property of Legender’s polynomial is given by
nt_-1~1"Pm{x}Pn{x}=0" m=n
int_-1~1"Pm({x}Pn{x}=1" mzn
0-1 1710010000 ന
D: - 01 Pm{)PR{x)=0"m=n
Correct Answer:- Option-A
Question20:-Find the value of ** *|~(5/2)" i.e gamma (5/2)
A:-"(3sqri(pi/(4)
8;-(50ಗೆ/(01))/(2)7
(ங்‌)
05:-ട്രല))/(ദ*
Correct Answer:- Option-A
Question21:-A particle of mass m is bound by a linear potential U=kr. For what energy will the orbit be a circle of radius r
about the origin
கோ?
B:-3kr
೧
5:-(ന/(2)*
Correct Answer:- Option-A
Question22:-Two circular discs have the same mass m and same thickness ட ம one has uniform density less than that of
disc two. Which of the following is comect.
A:-Disc two has larger moment of inertia
B:-Disc one has larger moment of inertia
C:-Both have same moment of inertia

D:-Can not be predicted from given data.

Correct Answer:- Option-B
Question23:-Consider motion of a particle of mass m under the influence of a force F=-kr, where k is a positive constant and
r is the position vector of the particle. Now the orbit will be

A:-Ellipse

B:-Along a line

6:

ircle

D:-Parabola

Correct Answer:- Option-A
Question24:-A violin string 0.5m long has a fundamental frequency 200Hz. At what speed does a transverse pulse travel on
this string?

A:-100mys

8:-400ಗ/5

C:-200m/s

D:-300m/s

Correct Answer:- Option-C
Question25:-Consider the longitudinal vibration of a linear triatomic molecule with two atoms of mass m each symmetrically
situated on either sides of an atom of mass M. Now which of the following is a normal mode frequency of the system,if we
use a spring model

கங்கு

8: வங்‌

C:-0

'(۳٦م)50۲۲“-:50

Correct Answer:- Option-C
Question26:-Number of generalized coordinates required to describe the motion of a particle of mass m constrained to
move on the surface of a sphere of radius R are

ಹಿ

B:-1

C:-0

D:-2

Correct Answer:- Option-D
Question27:-The Hamiltonian of a particle in a central potential V(r} is

((7)2((/)20م) يم

(۷)۳۲+ '(2((/)27)م)“-:ظ5

യമ) வற

மாலே സ്‌”