The value of Planck's constant is 6.63 × 10⁻³⁴ Js. The velocity of
light is 3.0 × 10⁸ m s⁻¹. Which value is closest to the wavelength in
nanometers of a quantum of light with frequency of 8 × 10¹⁵ s⁻¹ ?
(a) 3 × 10⁷ (b) 2 × 10⁻²⁵ (c) 5 × 10⁻¹⁸ (d) 4 × 10¹
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(d) 4 × 10¹
Explanation:
Frequency = speed of light/ wavelength
So wavelength = 3 * 10^8 / 8 * 10^15 = 0.375 * 10^-7 = 3.75 * 10^1nm
So 4 * 10^1 is the closest value to the wavelength of a quantum of light with frequency 8 * 10^15.
Option D is the answer.
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