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An observer is moving with half the spee...

An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency 10 GhHz. What is the frequency of the microwave measured by the observer? (speed of light=`3xx10^(8)ms`)

A

15.3 GHz

B

10.1 GHz

C

12.1 GHz

D

17.3 GHz

Text Solution

Verified by Experts

The correct Answer is:
D
` v. = v sqrt(( 1 + (v)/(c))/(1 - (v)/(c)))`
`v. = v sqrt((1 + (1)/(2))/(1 - (1)/(2))) = sqrt(3) v`
`v. = 10 xx 1.73 = 17. 3 GHz `
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