If the energy of a photon of light is 3.37 x 10–19 J, what is the frequency of the light? A. 1.12 x 10–27 s –1 B. 8.90 x 1026 s –1 C. 5.09 x 1014 s –1 D. 6.70 x 10–44 s –1 E. 1.01 x 10–10 s –1

Respuesta :

Answer:

The appropriate alternative is option C "[tex]5.09\times 10^{14} \ s[/tex]".

Explanation:

The given value is:

Energy of photon,

E = [tex]3.37\times 10^{-19} \ J[/tex]

As we know,

h = [tex]6.626\times 10^{-34} \ Js[/tex]

Now,

The frequency of the light will be:

⇒  [tex]E=hv[/tex]

On substituting the given values, we get

⇒  [tex]3.37\times 10^{-19}=6.626\times 10^{-34}\times v[/tex]

On solving, we get

⇒                    [tex]v=5.09\times 10^{14} \ s[/tex]

If the energy of a photon of light is 3.37 x 10⁻¹⁹ J, then the frequency of the light is 5.09 x 10¹⁴ per sec.

How we calculate frequency?

Frequency of light will be calculated by using the below formula:
E = hυ, where

E = energy of photon = 3.37 x 10⁻¹⁹ J

h = plank's constant = 6.626 × 10⁻³⁴ Js

Putting these values on the above equation and calculate for the frequency as:

υ = 3.37 x 10⁻¹⁹ J / 6.626 × 10⁻³⁴ Js = 5.09 x 10¹⁴ per sec

Hence, option (C) is correct i.e. 5.09 x 10¹⁴ per sec.

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