The Verhulst-Pearl logistic growth model represents population growth with a limiting factor, \( K \), which is the carrying capacity of the environment.
- \( r \) represents the intrinsic rate of natural increase.
\[ \begin{array}{|c|c|} \hline \textbf{Symbol} & \textbf{Meaning} \\ \hline K & \text{Carrying Capacity (Maximum population size)} \\ r & \text{Intrinsic Rate of Natural Increase} \\ \hline \end{array} \]
- \( K \) is the maximum population size that the environment can sustain indefinitely, taking into account resource limitations.
Thus, the correct answer is (3) Carrying capacity.
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 