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Question: Answered & Verified by Expert
A 100W sodium lamp radiates energy uniformly in all directions. The wavelength of the sodium light is 589 nm. What is the energy per photon in (eV) associated with the sodium light? [  h = 6 .63 × 10 -34  J s ]
PhysicsDual Nature of MatterJEE Main
Options:
  • A 2.11
  • B 1.22
  • C 0.5
  • D 3.21
Solution:
1632 Upvotes Verified Answer
The correct answer is: 2.11
Given, power of the lamp, P = 100 W

The wavelength of the sodium light, λ = 5 8 9 nm = 589 ×  10 9  m

Planck constant h = 6.63 × 10-34 J s

The energy of each photon

E=hcλ=6.63×10-34×3×108589×10-9

∵  c=3×108 m s-1

= 3 . 3 8 × 1 0 - 1 9  J

= 3 . 3 8 × 1 0 - 1 9 1 . 6 × 1 0 - 1 9 eV

= 2.11 eV

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