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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

`3.0 xx 10^(10) Hz`

C

`1.5 xx 10^(9) Hz`

D

`3.0 xx 10^(9) Hz`

Text Solution

Verified by Experts

The correct Answer is:
a
Detector receives both the direct as well as the reflected waves. Distance between two consecutive maxima `= lambda // 2`.
For 14 maxima, distance `= 14 xx (lambda)/(2) = 0.14 m`
`v = ( c )/(lambda) = (3 xx 10^(8))/(0.02) = 1.5 xx 10^(10) Hz`
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