Question

calculate wavelength of photon in nm, which has energy equal to 5 into 10^-19 J​

Answer 1

Answer:

Answer

B

Solution

λ=12375EA∘

Answer 2

Answer:

The wavelength of the photon in nm, λ, calculated is $397nm$.

Explanation:

Given data,

The energy of the photon, E = $5\times 10^{-19}J$

The wavelength of the photon in nm, λ =?

From the formula of energy given below, we can find out the wavelength of the photon:

• E = $\frac{hc}{\lambda}$

Here,

• h = Planck's constant = $6.626\times 10^{-34} J-s$
• c = Light's speed = $3\times 10^{8}m/s$

Thus, the equation becomes:

• λ = $\frac{hc}{E}$

After substituting the given value of energy and known values of Planck's constant and light's speed in the above-mentioned formula, we get:

• λ = $\frac{6.626\times 10^{-34} \times 3\times 10^{8} }{5\times 10^{-19} }$
• λ = $\frac{19.878\times 10^{-7} }{5 }$
• λ = $3.97\times 10^{-7}m$

Now, we have to convert the unit from m to nm.

• $1m$ = $10^{9}m$
• $3.97\times 10^{-7}m$ = $(3.97\times 10^{-7}\times10^{9})nm$ = $397nm$.

Hence, the wavelength of the photon in nm, λ = $397nm$.