Answer:
B. [tex]3.78 \times 10^{-19}[/tex] J
Explanation:
Energy (E) = Planck's constant (h) × Frequency (ν)
1 Hertz = 1 [tex]s^{-1}[/tex]
So Hertz and [tex]s^{-1}[/tex] are equal
[tex]E=6.626 \times 10^{-34} Js \times 5.71 \times 10^{14} s^{-1}[/tex]
(s and [tex]s^{-1}[/tex] gets cancel as both are in the numerator leaving behind Joules)
[tex]=37.8 \times 10^{-20} J[/tex]
(Moving the decimal point to the left one place power of 10 increases from -20 to - 19)
[tex]= 3.78 \times 10^{-19}[/tex] J (Answer)