Question

With reference to planning and design of housing, identify the correct statements. (P) Gross population density is higher than net population density
(Q) Gross population density is lower than net population density
(R) Net population density is directly proportional to area of the plot
(S) Net population density is inversely proportional to area of the plot

• A. Both Q and S are correct
• B. Both Q and R are correct
• C. Both P and R are correct
• D. Both P and S are correct

Hint:

Remember: - Net density always appears higher than gross density because non-residential land is excluded. - Density decreases as plot size increases → inverse relationship.

Answer 1

The Correct Option is A

Step 1: Definitions. - Gross population density = Total population ÷ Total area (including roads, parks, open spaces, amenities). - Net population density = Total population ÷ Net residential area (excluding roads, parks, amenities).

Step 2: Relationship between gross and net densities. Since net residential area is smaller than gross area, dividing by a smaller denominator gives a higher value. \[ \text{Net density} > \text{Gross density} \] So, statement (Q) is correct and (P) is wrong.

Step 3: Relation of net density with plot area. - Net density = Population ÷ Residential land area. - If the area of the plot increases while the population is constant, the density decreases. Thus, density is inversely proportional to area of the plot. \[ \text{Net Density} \propto \frac{1}{\text{Area}} \] So, (S) is correct and (R) is wrong.

Step 4: Final selection. Correct statements are (Q) and (S).

Final Answer: \[ \boxed{\text{(A) Both Q and S are correct}} \]