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JEE Main 202227 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
27 June
Shift
Morning Shift
Subject
Physics
Chapter
Communication System

JEE Main 2022 · 27 June · Morning Shift · Physics · Communication System

The height of a transmitting antenna at the top of a tower is 25m...

The height of a transmitting antenna at the top of a tower is 25m25m and that of receiving antenna is, 49m49m. The maximum distance between them, for satisfactory communication in LOS (Line-Of-Sight) is K5×102mK\sqrt{5} \times {10}^{2}m. The value of KK is _____ .

(Assume radius of Earth is 64×105m64 \times {10}^{5}m) [Calculate upto nearest integer value]

The height of a transmitting antenna at the top of a tower is 25m and that of receiving antenna is, 49m . The maximum

Correct answer

0

Step-by-step solution

Here,

hT=49m,hR=25m,R=64×105m{h}_{T} = 49m, {h}_{R} = 25m, R = 64 \times {10}^{5}m

Maximum distance between two antennae is,

d=2RhT+2RhR=2R(49)+2R(25)=122R=122×64×105=1925×102md = \sqrt{2R{h}_{T}} + \sqrt{2R{h}_{R}} = \sqrt{2R\left(49\right)} + \sqrt{2R\left(25\right)} = 12\sqrt{2R} = 12\sqrt{2 \times 64 \times {10}^{5}} = 192\sqrt{5} \times {10}^{2}m

The height of a transmitting antenna at the top of a tower is 25m and that of receiving antenna is, 49m . The maximum

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