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JEE Main 202229 JuneEvening Shift

Exam: JEE Main
Year: 2022
Date: 29 June
Shift: Evening Shift
Subject: Physics
Chapter: Communication System

JEE Main 2022 · 29 June · Evening Shift · Physics · Communication System

The TV transmission tower at a particular station has a height of...

The TV transmission tower at a particular station has a height of

125m

. For doubling the coverage of its range, the height of the tower should be increased by

Options

A $500m$
B $375m$
C $250m$
D $125m$

Correct answer

B. $375m$

Step-by-step solution

Maximum distance covered is given by $d = \sqrt{2Rh}$ , here $R$ is the radius.

Now, to increase the length of radio transmission to $2$ times, $2d = \sqrt{2{h}^{'}R}$

Height of tower is ${h}^{'} = 4h = 4 \times 125 = 500m$

\begin{aligned} \Delta H=h^{\prime}-h &=500-125 \\ &=375 \end{aligned}

)$

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