Q160 / 160 · AP EAMCET 2018 (23 Apr Shift 2) · Physics

If the height of the transmitting tower is increased by $30 \%$, then the area covered by it increases by

  • A
    10\%
  • B
    $21 \%$
  • Correct answer
    C
    $30 \%$
  • D
    $60 \%$

Solution

Area covered by a transmission tower of height $h$ is $\begin{aligned} & A=2 \pi R h \\ \Rightarrow \quad & A \propto h \end{aligned}$ So, if height is increased by $30 \%$, area of coverage also increase by $30 \%$.

Hence, the correct answer is option: 'C'.

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