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`)

Options

A. 12.1GHz
B. 17.3GHz
C. 15.3GHz
D. 10.1GHz

Answer

B

Explanation

As the observer is moving towards the source, so frequency of waves emitted by the source will be given by the formula
`f_(observed)=f_(actual^(.))((1+V//C)/(1-V//C))^(1//2)`
Here, `f_(observed) = f_(actual) ((3//2)/(1//2))^(1//2)` `therefore` `f_(observed) = 10xxsqrt(3)=17.3 GHz`