IIT JAM Sample Paper 1

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1. A solid sphere of mass in and radius a is rolling with a linear speed v on a flat surface without slipping. The magnitude of the angular momentum of the sphere with respect to a point along the path of the sphere on the surface is 
(A) 2/5 m a v (B) 7/5 m a v (C) mav  (D) 3/2 m a v

2. The susceptibility of a diamagnetic material is
 (A) positive and proportional to temperature
(B) negative and inversely proportional to temperature
(C) negative and independent of temperature
(D) positive and inversely proportional to temperature

3. The molar specific heat of a gas as given from the kinetic theory is ft . If it is not specified whether it is Cp or Cu, one could conclude that the molecules of the gas
(A) are definitely monatomic
(B) are definitely rigid diatomic
(C) are definitely non-rigid diatomic
(D) can be monatomic or rigid diatomic





4. The value of entropy at absolute zero of temperature would be
(A) zero for all the materials
(B) finite for all the materials
(C) zero for some materials and non-zero for others
(D) unpredictable for any material


5. A circuit and the signal applied at its input terminals (V, ) are shown in figure below. Which one of the options correctly describes the output waveform (V. ). (Assume all the devices used are ideal).