STPGT Physics 2017
In a one-dimentional collision between two identical particles A and B, B is stationary and A has momentum P before impact. During the impact, B gives impulse J to A. In this case, the coefficient of restitution is
(a) (2J/P) – 1
(b) (2J/P) +1
(c) (J/P) + 1
(d) None of the above
A sphere A, moving with a speed u and rotating with an angular velocity w, makes a head-on elastic collision with an identical stationary sphere B. There is no friction between the surfaces of A and B. Disregarding gravity
(a) A will come to rest and stop rotating
(b) B will move with a speed u and rotate with an angular velocity w
(c) B will move with a speed u without rotating
(d) None of the above
A charged particle X moves directly towards another charged particle Y. For the (X+Y) system, the total momentum is P and the total energy is E. Then
(a) if Y is fixed, neither E nor P is conserved
(b) if Y is fixed, E is conserved but not P
(c) P and E are not conserved if both X and Y are free to move
(d) None of the above
A ball A, moving with kinetic energy E, makes a head-on elastic collision with a stationary ball with mass n times that of A. The maximum potential energy stored in the system during the collision is
(a) nE/(n-1)
(b) nE/(n+1)
(c) E/n
(d) None of the above
Two bodies of masses m and M (M>>m) are attached to the two ends of a light string passing over a fixed ideal pulley. When the bodies are in motion, the tension in the string is approximately
(a) (M-m) g
(b) mg
(c) 2mg
(d) None of the above
A man of mass m stands on a long flat car of mass M, moving with velocity v. If he now begins to run with velocity u, with respect to the car, in the same direction as v, the velocity of the car will be
(a) v – (mu/M)
(b) v – (mu/m+M)
(c) v + (mu/m+M)
(d) None of the above
A uniform chain of mass m hangs from a light pulley, with unequal lengths hanging from the two sides of the pulley. The force exerted by the moving chain on the pulley is
(a) mg
(b) >mg
(c) <mg
(d) None of the above
If the total energy of a particle is negative but not minimum, then the path is
(a) hyperbolic
(b) circular
(c) elliptical
(d) None of the above
The numbers of coordinates required to describe a collision in laboratory frame and centre of mass frame are respectively
(a) 6 and 1
(b) 6 and 3
(c) 6 and 2
(d) None of the above
The orbit of an artificial satellite is
(a) hyperbolic
(b) circular
(c) eliptical
(d) None of the above
The Hamiltonian H of a system has the dimension of
(a) force
(b) work
(c) displacement
(d) None of the above
The principal axes of a rigid body represent
(a) three mutually perpendicular axes fixed in the body
(b) option (a) along with the condition that the product of inertia about the axes is non-zero
(c) option (a) along with the condition that the product of inertia about the axes is zero
(d) None of the above
When a sphere rolls down an inclined plane, then identify the correct statement related to the work done by the friction force
(a) The friction force does positive translational work
(b) The friction force does negative rotational work
(c) The net work by friction is zero
(d) None of the above
Leave a Reply