JEE Main 12 Jan 2019 Evening Question 28

Question: To double the covering range, or’ a TV transmission tower, its height should be multiplied by [JEE Main Online Paper Held On 12-Jan-2019 Evening]

Options:

A) $ \frac{1}{\sqrt{2}} $

B) 2

C) 4

D) $ \sqrt{2} $

Show Answer

Answer:

Correct Answer: C

Solution:

The distance to horizon, of the transmitting tower,

$d=\sqrt{2gh} $ $ \frac{d _2}{d _1}=\sqrt{\frac{h _2}{h _1}}\Rightarrow \frac{2d _1}{d _1}=\sqrt{\frac{h _2}{h _1}}\Rightarrow h _2=4h _1 $