Question

Assertion(A): Greater the height of a TV transmitting antenna, greater is its coverage.
Reason(R): The height of transmitting antenna is directly proportional to the square of the distance of TV coverage.

• A. A and R are true and R is the correct explanation of A
• B. A and R are true but R is not correct explanation of A
• C. A is true but R is false
• D. A is false but R is true.

Answer 1

The correct option is A A and R are true and R is the correct explanation of A

$Areatobecovered=\frac{totalpopulationgiven}{populationdensity}$

$d_{max}=\sqrt{2R{H}_T}\Rightarrow H_T\propto d_{max}^2$

$Areacovered=\pi {d_{max}}^2$

$\Rightarrow H_T\propto Areacovered$