Answer:
The wavelength is 0.59 x [tex]10^{-1[/tex] m.
Solution:
- First, let write the given.
frequency = f = 5.10 x 10^9 Hz
velocity = v = 3 x 10^8 m/s
wavelength = w = ?
- Then, substitute the given in the formula.
[tex]w=\frac{v}{f}[/tex]
[tex]w=\frac{3*10^{8} }{5.1*10^{9} } \\w=0.59*10^{8-9} \\w=0.59*10^{-1}[/tex]
[tex]frequency=Hertz=\frac{1}{second}\\velocity=meter/second\\wavelenght=?\\\\\\wavelenght=\frac{velocity}{frequency}\\wavelenght=\frac{meter/second}{1/second} \\wavelenght=(\frac{meter}{second} )second\\wavelenght=meter=m[/tex]
- Thus, the final answer is 0.59 x [tex]10^{-1[/tex] m (meter)
Hope it Helps!
\_(^_^)_/
