The value of Planck's constant is 6.63 10⁻³⁴ Js . The speed of light is 3 10¹⁷ nms ⁻¹ . Which value is closest to the wavelength in nanometer of a quantum of light with frequency of 6 10¹⁵ ~s ⁻¹ ?

Step-by-step solution

Given, Planck's constant, h=6.63 10⁻³⁴ ~J - s Speed of light, c=3 10¹⁷ ~nm ~s ⁻¹ Frequency of quanta v=6 10¹⁵ ~s ⁻¹ Wavelength, = ? We know that, v= c or aligned & = c v & = 3 10¹⁷ 6 10¹⁵ & =0.5 10^2 ~nm & =50 ~nm aligned