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A radar wave has frquency of 8.1 xx 10^(...

A radar wave has frquency of `8.1 xx 10^(9) Hz`. The reflected wave from an aeroplane shows a frequency difference of `2.7 xx 10^(3) Hz` on the higher side. Calculate velocity of aeroplane in the line of sight.

Text Solution

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Here, `v = 8.1 xx 10^(9)Hz`
`Delta lambda = 2.7 xx 10^(3) Hz`
Velocity of aeroplane, `v = (1)/(2) (Delta v)/(v) xx c`
`= (1)/(2) xx (2.7 xx 10^(3))/(8.1 xx 10^(9)) xx 3 xx 10^(8) = 50 m//s`
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