Question

A 6.53 !1014 Hz electromagnetic wave propagates in carbon tetrachloride with a speed of 2) 2.05 !108 m/s.

The wavelength of the wave in vacuum is closest to:

A) 413 nm

B) 368 nm

C) 505 nm

D) 459 nm

E) 314 nm

Answer 1

E) 314 nm

Step-by-step explanation:

The relationship between speed, frequency and wavelength for an electromagnetic wave is given as:

V = fλ

Where;

V is the speed of the wave

f is the frequency of the wave

λ is the wavelength.

Making λ the subject of the equation,

λ = V/ f

λ = 2.05 x 10^8 / 6.53 x 10^14

= 3.14 x 10^-7 m

= 314 x 10^-9 m

= 314 nm