Correct Answer:- Option-B
Question28:-Two particles of same mass m are emitted in the same direction with momenta 5mc and 10mc respectively{c is
the speed of light). As seen from the slower one, what is the speed of the faster particle?

A:-0.595¢

B:-0.425¢

C:-0.795¢

D:-0.85¢

Correct Answer:- Option-A
Question29:-Which of the following has positive intrinsic curvature?

A:-Saddle

B:-Plane

C:-Sphere

D:-Cylinder

Correct Answer:- Option-C
Question30:-A particle is constrained to move on a plane, where it is attracted towards a fixed point with force is inversely
proportional to square of the distance from the point. What is the Lagrangian of the particle in polar coordinates?

A= (mdotr™(2)+mr~(2)dottheta™ “ங்‌
mdotr™(2)}/(2)" +" (k) (r}"
ள்‌ “ம்‌
D:-" (mdotr™(2)}/2)" + (mr~(2)dottheta™(2))/(2)"
Correct Answer:- Option-A
Question31:-The de-Broglie wavelength of an electron accelerated to a potential difference of V volts is
A:-'sqri{(150)/(V))" “dotA™ ™
B:-*(h)/(sqrt{2mE)" “dotA™
ஙே “ண்ட்‌
D:-*hsqrt{{150)/(meV))™*" ` 404.
Correct Answer:- Option-A
Question32:-The electron orbit in 8 ground state hydrogen atom is in circumference equals 1௦
A:-one de-Broglie wave length
B:-Two de-Broglie wave length
C:-Ten de-Broglie wave length
D:-Twelve and half de-Broglie wave length
Correct Answer:- Option-A
Question33:-In case more than one linearly independent wave functions belong to the same energy E, the level is said to be
A:-orthogonal
B:-orthonormal
C:-degenerate
D:-non-degenerate
Correct Answer:- Option-C
Question34:-The particle confined within the potential well displays
A:-discrete series of energy
B:-continuous series of energy
C:-both continuous and discrete series at time
D:-none of the above
Correct Answer:- Option-A
Question35:-If the uncertainty in momentum A'p_(x)* is known, then A’p_(y}® will be
A:-equal to 270 00”
B:-3.33x7107(-10)" 210007
05010010” 210 00
D:-impossible to say
Correct Answer:- Option-D
Question36:-A golf ball of 46 gm travels at 30 mys. The wave length associated with it is
;എ.80 10-34)” 1
48X 10°(-34)" m
“4,830 10“(-36)' ಗಾ
D:-0.048x"107(-34)" ಗಾ
Correct Answer:- Option-A
Question37:-Since electrons has an intrinsic magnetic dipole moment due to its spin, the electron interacts with the extemal
magnetic field and the operator for this moment is *hatmu® is

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