Question

What is the wavelength of light with 5.53 x 10-19 J of energy? (The speed of

light in a vacuum is 3.00 x 10 m/s, and Planck's constant is 6.626 10-34
J•s.)
A. 399 nm
B. 278 nm
C. 250 nm
D. 359 nm

Answer 1

D. 359 nm

`{ \boxed{ \bf{ energy = (hc)/( \lambda) }}}`

lambda is the wavelength

c is the speed of light

h is the Planck's constant

`{ \sf{5.53 * {10}^( - 19) = \frac{(6.626 * {10}^( - 34)) * (3.00 * { {10}^(8) }) }{ \lambda} }} \\ \\ { \sf{\lambda = 3.59 * {10}^( - 7) }} \\ { \sf{\lambda = 359 \: nm}}`