A ratio has a power of `1 kW` and is operating at a frequency of `10 GHz` it is located on a mountain top of beigh `500 m ` The maximum distance upto which it can detect object located on the surface of the earth (Radius of earth ` = 6.4 xx 10^(6) m )` is
A
`80 km`
B
`16 km`
C
`40 km`
D
`64 km`
Text Solution
Verified by Experts
The correct Answer is:
A
Let d is the maximum distance, upto is the objects from `deltaAOC` `OC^(2) = AC^(2) + AO^(2)` `(b +R)^(2) = d^(2) + R^(2)` `rArr d^(2)= (h + R)^(2) - R^(2)` `d = sqrt((h + R)^(2) - R^(2))` `d = sqrt(h^(2) + 2 hR)` `d = sqrt(500^(2) + 2 xx 6.4 xx 10^(6)) = 80 km `
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