The velocity (v) - time (t) plot of the motion of a body is shown below :

The acceleration (a) - time(t) graph that best suits this motion is :




Step 1: Analyze the Velocity-Time Graph
The slope of the velocity-time (v-t) graph represents acceleration. From the given plot:
The velocity increases linearly with time, implying constant acceleration.
Step 2: Match with the Acceleration-Time Graph
Since the acceleration is constant, the acceleration-time (a-t) graph must be a horizontal straight line.
Step 3: Conclusion
The correct acceleration-time graph is option (3) 
A body of mass 1000 kg is moving horizontally with a velocity of 6 m/s. If 200 kg extra mass is added, the final velocity (in m/s) is:
A wheel of a bullock cart is rolling on a level road, as shown in the figure below. If its linear speed is v in the direction shown, which one of the following options is correct (P and Q are any highest and lowest points on the wheel, respectively) ?

A sphere of radius R is cut from a larger solid sphere of radius 2R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is : 
AB is a part of an electrical circuit (see figure). The potential difference \(V_A - V_B\), at the instant when current \(i = 2\) A and is increasing at a rate of 1 amp/second is:
Three identical heat conducting rods are connected in series as shown in the figure. The rods on the sides have thermal conductivity 2K while that in the middle has thermal conductivity K. The left end of the combination is maintained at temperature 3T and the right end at T. The rods are thermally insulated from outside. In steady state, temperature at the left junction is \(T_1\) and that at the right junction is \(T_2\). The ratio \(T_1 / T_2\) is 