CUET · PHYSICS · PYQ PAPER 2023

A TV tower has a height of 160 m. How much population is covered by the television broadcast, if the average population density around the tower is 1000 per km^2? Given radius of the earth is 6400 km.

A 10.04 lacs
B 64.3 lacs
C 20.48 lacs
D 32.15 lacs

Verified Solution

Answer & Solution

Correct Answer

(B) 64.3 lacs

Step-by-step Solution

Detailed explanation

\( P = 2\pi Rh \times \text{Population Density} \) \( P = 2 \times \pi \times 6400 \text{ km} \times 0.16 \text{ km} \times 1000 \text{ per km}^2 \) \( P = 2048000\pi \) \( P_{\text{lacs}} = \frac{2048000\pi}{100000} \text{ lacs} \) \( P_{\text{lacs}} \approx 64.3 \text{ lacs} \)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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