Q. 36.  A particle moves a distance x in time t according to  equation 
 The acceleration of particle is  proportional to:
Sol:
 
     
Answer : (1)
Q. 37.  Two particles which are initially at rest, move  towards each other under the
            action of their internal  attraction. If their speeds are v and 2v at any instant, then the speed of  centre of mass of the system will be:
Sol:  No change in state of motion of COM due to internal  forces.
            speed of COM = zero
Answer : (2)
Q. 38.  A potentiometer circuit is set up as shown. The  potential gradient, across the
            potentiometer wire, is k  volt/cm and the ammeter, present in the circuit, reads
            1.0 A when two way key is  switched off. The balance points, when the key
            between the terminals (i)  1 and 2 (ii) 1 and 3, is plugged in, are found to be at
            lengths l1  cm and l2 cm respectively. The magnitudes, of the resistors R  and X, in ohms, are then, equal, respectively, to:





Sol :
P.D arross R = IR =
  
  P.D arross                                                                                                                
            
Answer : (2)