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Microwaves from a transmitter are direct...

Microwaves from a transmitter are directed normally toward a plane reflector. A detector moves along the normal to the reflector. Between positions of 14 successive maxima the detector travels a distance 0.14 m. The frequency of the transmitter is `(c = 3 xx 10^(8) m s^(-1))`.

A

` 1.5 xx 10^(10) Hz`

B

`10^(10) Hz`

C

`3 xx 10^(10) Hz`

D

`6 xx 10^(10) Hz`

Text Solution

Verified by Experts

The correct Answer is:
A
If detector moves ` x` distance , distance from direct sound increases by `x` and distance from reflected sound decreases by `x` so path difference created ` = 2 x`
`2 (0.14) = 14 lambda = 14 c//f`
`f = ( 14 xx 3 xx 10^(8))/( 0.14 xx 2) = 1.5 xx 10^(10) Hz`
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