Answer:
[tex]\small \boxed{ \sf \: Energy \: of \: photon \: is \: 1.5514 \times {10}^{ - 19} \: joules}[/tex]
Explanation:
Given:
Wavelength (λ) = 1282 nm= 1.282 × 10-⁶ m
planks constant (h) = 6.626 × 10–³⁴ J⋅s
To find:
Energy (E) = ?
Solution:
In Quantum Mechanics the relationship between Energy & wavelength is given
[tex]E = \frac{hc}{ \lambda} [/tex]
Where E is energy in joules
c is speed of light in m/s ( 3 × 10⁸ m/s)
λ is wavelength photon in meter
Substituting the given data & constant values,
[tex]E = \frac{hc}{ \lambda} \\ \\ E = \frac{6.63 \times {10}^{ - 34} \times 3 \times {10}^{8} }{1.282 \times {10}^{ - 6} } \\ \\ E = \frac{19.89}{1.282} \times {10}^{ (- 34 + 8+ 6)} \\ \\ E =15.514 \times {10}^{ - 20} \\ \\ \boxed{\sf E =1.5514 \times {10}^{ - 19} \: joules}[/tex]
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