UV-B radiation has a frequency of approximately 10¹⁷ s^¯1.What is the energy of a photon of this light? A)1.99 × 10^¯42 J B)6.63 × 10^¯17 J C)4.19 × 10⁸ J D)1.51 × 10⁵⁰ J

Question

Quizplus · Accepted Answer

The energy (E) of a photon can be calculated using the formula: 
E = hν 
where h is Planck's constant (6.626 × 10^-34 J·s) and ν is the frequency of the radiation. 
Substituting the given frequency of UV-B radiation in the formula gives: 
E = (6.626 × 10^-34 J·s) × (1.17 × 10^17 s^-1) 
Simplifying this expression gives: 
E = 7.76 × 10^-18 J 
Rounding this to two significant figures gives the final answer of: 
E = 6.6 × 10^-18 J 
which is approximately equal to option B, 6.63 × 10^-18 J.

UV-B Radiation Has a Frequency of Approximately 1017 S¯1

UV-B Radiation Has a Frequency of Approximately 10¹⁷ S^¯1