The energy of a photon is 3×10−12 ergs. What is its wavelength in nm ?h=6.62×10−27 erg.sec; C=3×1010Cm−1s−1

E=hv⇒E=hcλE=hv⇒E=hcλE=3×10−12 ergs h=6.625×10−27erg⋅secC=3×1010cm−s−1λ=hcE=6.625×10−27×3×10103×10−12=662.5×10−7cm=662.5nm,=662nm

The energy of a photon is 3×10−12 ergs. What is its wavelength in nm ?h=6.62×10−27 erg.sec; C=3×1010Cm−1s−1

E=hv⇒E=hcλE=hv⇒E=hcλE=3×10−12 ergs h=6.625×10−27erg⋅secC=3×1010cm−s−1λ=hcE=6.625×10−27×3×10103×10−12=662.5×10−7cm=662.5nm,=662nm

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The energy of a photon is $3 \times 10^{- 12} ergs.$ What is its wavelength in nm ?
$(h = 6 .62 \times 10^{- 27} erg.sec; C = 3 \times 10^{10} {Cm}^{- 1} s^{- 1})$

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Detailed Solution

$\begin{array}{l} E = hv \Rightarrow E = \frac{hc}{λ} E = hv \Rightarrow E = \frac{hc}{λ} E = 3 \times 10^{- 12} ergs h = 6 .625 \times 10^{- 27} erg \cdot \sec \\ C = 3 \times 10^{10} {cm}^{- s^{- 1}} λ = \frac{hc}{E} = \frac{6 .625 \times 10^{- 27} \times 3 \times 10^{10}}{3 \times 10^{- 12}} = 662 .5 \times 10^{- 7} cm = 662 .5 nm, = 662 nm \end{array}$