Solution:In a hydropower plant, the main factors that determine the power capacity are the flow rate of water and the available head (the vertical drop or potential energy difference). Flow rate (Q) signifies the volume of water passing through the turbines per unit time.
Head (H) denotes the pressure difference due to the height of water above the turbines. The power (P) is often represented by the simplified expression P = p × g × Q × H × n, where p is density of water, g is gravitational acceleration, and n is the efficiency factor.
The length of the penstock, size of the reservoir, or the distance from the intake to the forebay do not directly fix the capacity in terms of maximum power output, although they can influence losses and energy availability.
The penstock length is relevant for friction losses, the reservoir size helps regulate flow availability over time, and the intake-forebay distance is an engineering or layout factor. However, none of these directly define the rated or maximum power capacity. Hence, (b) flow rate and (d) head are the key parameters.