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A TV transmitter has a range of 50km. Th...

A TV transmitter has a range of 50km. The height of the TV transmitter is ______ (Radius of the earth, `R_(e ) = 6.4 xx 10^(6)m`)

A

195.3m

B

186.5m

C

206m

D

175m

Text Solution

Verified by Experts

The correct Answer is:
A
Range, `d = sqrt(2R_(e )h_(T))`
`50km = sqrt(2 xx 6.4 xx 10^(6) xx h_(T))`
`2500 xx 10^(6) = 128 xx 10^(5)h_(T)`
`(25000)/(128) = h_(T)`
`h_(T) = 195.3`
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