By what percentage will the transmission range of a TV tower be affected when the height of the tower is increased by 21%?
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Question

By what percentage will the transmission range of a TV tower be affected when the height of the tower is increased by 21%?

G1 Physics · Accepted Answer

The line-of-sight range of a TV tower is proportional to the square root of its height: d ∝ √h If height increases by 21%: h₂/h₁ = 1.21 Therefore, d₂/d₁ = √1.21 = 1.10 So the range increases by 10%. Hence option D follows.