Respuesta :

The wavelength of 4.2×10^15 Hertz frequency is 71.4nm.

Given,

The frequency = 4.2×10^15 Hertz

As we know,

frequency = C / λ ( lambda)

Where, C = speed of light =3×10^8 m/s

lambda = wavelength.

Thus , wavelength = Speed of light / frequency

= (3×10^8 m/s) / (4.2×10^15 s^-1 )

= 7.14 ×10^-8 m

= 71.4 ×10^-9 m

wavelength= 71.4 nm

Hence, the wavelength of 4.2×10^15 Hertz frequency is 71.4 nm.

1 nanometre = 10^-9 m.

Wavelength :

The distance between two succeeding crests or troughs of a wave is known as its wavelength. It is measured in the wave's direction.

It is the distance between a wave's crests and troughs, respectively (which may be an electromagnetic wave, a sound wave, or any other wave). The wave's crest is its highest point, while its dip is its lowest. Because a wavelength represents a distance or length, it is expressed in length units like metres, centimetres, milimeters, nanometers, etc.

E= hf

E= h.c/λ

Where,

c is the velocity of the light.

λ is the wavelength of the light.

f is the frequency of the light.

E is the energy of the light wave.

h is the Planck’s Constant ( 6.64 × 10-34 joule.second)

Wavelength of visible light ranges from 400nm to 700nm.

Learn more about wavelength here :

brainly.com/question/10728818

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