Question

Calculate the energy of a photon of Sodium light of wave length 5.862x10-16 m in Joules.
(1) 3.38x10-10 J
(2) 3.38J
(3) 3.38x10-33
(4) 3.38x 10-7j​

Answer 1

$\large \underline \bold{Question}$:-

• Calculate the energy of a photon of sodium light of wave length of

$\: \: \:$$5.862\times 10^{-16} \: m.$

$\large \underline \bold{Given}$:-

• The wave length of sodium light is $\: \:$$5.862\times 10^{-16} \: m.$

$\large \underline \bold{To \: Find}$:-

Calculate the energy of photon of sodium light ?

$\large \underline \bold{Usable \: Formula}$:-

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$$\large\boxed{\sf\pink{E \: = \: \dfrac{hC}{\lambda}}}$

$\sf{here \: ,}$

$\: \: \: \: \: \: \:$$\sf{E \: = \: energy \: of \: photon}$

$\: \: \: \: \: \: \:$$\sf{h \: = \: plank \: \: constant}$

$\: \: \: \: \: \: \:$$\sf{C \: = \: speed \: \: of \: \: light}$

$\: \: \: \: \: \: \:$$\sf{\lambda \: = \: wave \: \: length}$

$\large \underline \bold{Solution}$:-

$\: \: \:$On Using the above formula -

$\: \: \: \: \: \:$$\sf{E \: = \: \dfrac{6.63\times 10^{-34}\times 3\times 10^{8}}{5.862\times 10^{-16}}}$

$\: \: \: \: \: \:$$\sf{E \: = \: \dfrac{6.63\times 3\times 10^{-34+8}}{5.862\times 10^{-16}}}$

$\: \: \: \: \: \:$$\sf{E \: = \: \dfrac{19.89\times 10^{-26}}{5.86\times 10^{-16}}}$

$\: \: \: \: \: \:$$\sf{E \: = \: \dfrac{19.89\times 10^{-26+16}}{5.86}}$

$\: \: \: \: \: \:$$\sf{E \: = \: \dfrac{19.89\times 10^{-10}}{5.86}}$

$\: \: \: \: \: \:$$\sf{E \: = \: \: \: \dfrac{1989}{586}\times 10^{-10}}$

$\: \: \: \:$$\large \bold{E \: = \: 3.39\times 10^{-10} \: J}$