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¢
8:-0.425൦
‏56۴۔6‎
‎22)
‎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?
(mdotr*(2)+mr*(2)dottheta* (2))/(2)° +*(k)/(r)°
(೧16007 (2))/(2)` *`(/(೧`
(mdotr*(2))/(2)* -*(k)/(r)*

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

(h)/(sqrt(2mE)* 0०४
C:-*(h)/(sqrt(2mkT)* *dotA*
D:- hsqrt((150)/(meV))*** “008
Correct Answer:- Option-A
Question32:-The electron orbit in a ground state hydrogen atom is in circumference equals to
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 A’ p_(x)°
B:-3.33x°10%(-10)* A’p_(x)
C:-0.5x*10%(-10)° A* p_(x)°
D:-impossible to say
Correct Answer:- Option-D
Question36:-A golf ball of 46 gm travels at 30 m/s. The wave length associated with it is
A:-4.8x*10%(-34)° m
B:-0.48x*10*(-34)° m
C:-4.8x*10%(-36)° m
D:-0.048x*10*(-34)* m
Correct Answer:- Option-A

Question37:-Since electrons has an intrinsic magnetic dipole moment due to its spin, the electron interacts with the external
magnetic field and the operator for this moment is *hatmu’ 15

A:-(eh)/(4Pi m)* * hatsigma*