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A radar has a power of 1kW and is operat...

A radar has a power of `1kW` and is operating at a frequency of `10 GHz`. It is located on a mountain top of height `500m`. The maximum distance upto which it can detect object located on the surface of the earth (Radius of earth `6.4xx10^(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
Range of radar on earth surface (optical distance, for space wave, i.e., line of view)
`"Range"=sqrt((R+h)^(2)-R^(2))=sqrt(2Rh+h^(2))`
`=sqrt(2Rh)=sqrt(2xx6400xx(1)/(2)km)=80km`
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