JEE Main · 2022 · 29 Jun 2022 · Shift 2 · Semiconductors

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The TV transmission tower at a particular station has a height of 125 m. For doubling the coverage of its range, the height of the tower should be increased by :

(A)125 m
(B)250 m
(C)375 m✓ Correct
(D)500 m

Answer: (C)

Solution

The range of a transmission tower is given by:

d = 2 R h

where R is Earth's radius and h is tower height.

For doubling the range:

d_{2} = 2 d_{1}

2 R h_{2} = 2 2 R h_{1}

Squaring both sides:

h_{2} = 4 h_{1} = 4 \times 125 = 500

m

Increase in height:

Δ h = h_{2} - h_{1} = 500 - 125 = 375

m

Answer: (C) 375 m

JEE Main · 2022 · 29 Jun 2022 · Shift 2 · Single correct option

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