Q150 / 180 · AIIMS 2007 · Physics

In communication with help of antenna if height is doubled then the range covered which was initially \(r\) would become

  • Correct answer
    A
    \(\sqrt{2} r\)
  • B
    \(3 r\)
  • C
    \(4 r\)
  • D
    \(5 r\)

Solution

Range \(r=\sqrt{2 R h}\) where \(R\) is the radius of the earth and \(h\) is the height of an antenna \(\therefore \quad r^{\prime}=\sqrt{2 R(2 h)}=\sqrt{2}(\sqrt{2 R h})=\sqrt{2} r\)

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

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