To determine the validity of the given statements, we must evaluate them individually.
Statement I: "The cerebral hemispheres are connected by a nerve tract known as the corpus callosum."
The cerebral hemispheres of the brain are indeed connected by a thick band of fibers known as the corpus callosum. This structure facilitates communication between the two hemispheres, allowing them to work together harmoniously. Therefore, Statement I is correct.
Statement II: "The brain stem consists of the medulla oblongata, pons, and cerebrum."
The brain stem is a crucial part of the central nervous system but it consists of the medulla oblongata, pons, and midbrain—not the cerebrum. The cerebrum is separate from the brain stem and forms the largest part of the brain. Consequently, Statement II is incorrect.
Based on the analysis, the following option is accurate: "Statement I is correct but Statement II is incorrect."
Evaluating Statements about Brain Structure:
Thus, the correct answer is (3) Statement I is correct but Statement II is incorrect.
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 