Analyzing Per Capita Electricity Availability

The question asks us to determine in which state and year the per capita availability of electricity was the least. Per capita availability is calculated by dividing the total installed electricity capacity by the population.

First, let's look at the data provided in the table:

Now, we calculate the per capita availability of electricity for each state and year. The formula is:

$\text{Per Capita Availability} = \frac{\text{Total Installed Capacity (GW)}}{\text{Population (mn)}}$

Calculating Per Capita Electricity for Each Option

• State X, year 2011: Total Installed Capacity = 12 GW Population = 50 mn Per Capita Availability = $\frac{12 \text{ GW}}{50 \text{ mn}} = 0.24 \text{ GW/mn}$
• State Y, year 2011: Total Installed Capacity = 14 GW Population = 60 mn Per Capita Availability = $\frac{14 \text{ GW}}{60 \text{ mn}} \approx 0.2333 \text{ GW/mn}$
• State X, year 2021: Total Installed Capacity = 85 GW Population = 60 mn Per Capita Availability = $\frac{85 \text{ GW}}{60 \text{ mn}} \approx 1.4167 \text{ GW/mn}$
• State Y, year 2021: Total Installed Capacity = 85 GW Population = 68 mn Per Capita Availability = $\frac{85 \text{ GW}}{68 \text{ mn}} \approx 1.25 \text{ GW/mn}$

Comparing Per Capita Availability Results

Let's compare the calculated values:

• State X, 2011: 0.24 GW/mn
• State Y, 2011: 0.2333 GW/mn
• State X, 2021: 1.4167 GW/mn
• State Y, 2021: 1.25 GW/mn

Comparing these values, $0.2333 \text{ GW/mn}$ is the smallest value among the four. This value corresponds to State Y in the year 2011.

Conclusion

Based on the calculations, the per capita availability of electricity was least in State Y, year 2011.

Revision Table: Key Calculations

Additional Information on Per Capita Electricity Capacity

Per capita installed electricity capacity is an important indicator of a region's ability to supply power to its population. It represents the amount of generating capacity available per person.

• A higher per capita capacity generally suggests a greater potential to meet electricity demand.
• Installed capacity is the maximum potential output, not necessarily the actual generation or consumption. Actual electricity consumption is measured in kilowatt-hours (kWh) or megawatt-hours (MWh) per person per year.
• Analyzing trends over time, as shown in the data from 2011 to 2021, helps understand the growth in electricity infrastructure relative to population growth. In both states X and Y, the installed capacity increased significantly from 2011 to 2021, leading to a substantial rise in per capita availability, even with population growth.
• Different energy sources like solar, wind, and coal contribute to the total capacity. The mix of sources can impact factors like reliability, cost, and environmental footprint.